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MCQ (Single Correct Answer)

JEE Main 2024 (Online) 1st February Evening Shift
A diatomic gas $(\gamma=1.4)$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. The heat given to the gas in the process is :
JEE Main 2024 (Online) 1st February Evening Shift
If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $2 \mathrm{~km} / \mathrm{s}$, the root mean square veloc...
JEE Main 2024 (Online) 1st February Morning Shift
Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is :
JEE Main 2024 (Online) 1st February Morning Shift
The pressure and volume of an ideal gas are related as $\mathrm{PV}^{\frac{3}{2}}=\mathrm{K}$ (Constant). The work done when the gas is taken from sta...
JEE Main 2024 (Online) 31st January Evening Shift
The speed of sound in oxygen at S.T.P. will be approximately: (given, $$R=8.3 \mathrm{~JK}^{-1}, \gamma=1.4$$)
JEE Main 2024 (Online) 31st January Evening Shift
A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the ...
JEE Main 2024 (Online) 31st January Morning Shift
The given figure represents two isobaric processes for the same mass of an ideal gas, then ...
JEE Main 2024 (Online) 31st January Morning Shift
The parameter that remains the same for molecules of all gases at a given temperature is :
JEE Main 2024 (Online) 30th January Evening Shift
A block of ice at $$-10^{\circ} \mathrm{C}$$ is slowly heated and converted to steam at $$100^{\circ} \mathrm{C}$$. Which of the following curves repr...
JEE Main 2024 (Online) 30th January Evening Shift
If three moles of monoatomic gas $$\left(\gamma=\frac{5}{3}\right)$$ is mixed with two moles of a diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$, th...
JEE Main 2024 (Online) 30th January Morning Shift
Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $$\mathrm{C}_{\mathrm{A}}$$ and $$\mathrm{C}_{\...
JEE Main 2024 (Online) 30th January Morning Shift
At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $$47^{\circ} \mathrm{C}$$ ?
JEE Main 2024 (Online) 29th January Evening Shift
The temperature of a gas having $$2.0 \times 10^{25}$$ molecules per cubic meter at $$1.38 \mathrm{~atm}$$ (Given, $$\mathrm{k}=1.38 \times 10^{-23} \...
JEE Main 2024 (Online) 29th January Evening Shift
$$N$$ moles of a polyatomic gas $$(f=6)$$ must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of...
JEE Main 2024 (Online) 29th January Morning Shift
A thermodynamic system is taken from an original state $$\mathrm{A}$$ to an intermediate state $$B$$ by a linear process as shown in the figure. It's ...
JEE Main 2024 (Online) 29th January Morning Shift
Two vessels $$A$$ and $$B$$ are of the same size and are at same temperature. A contains $$1 \mathrm{~g}$$ of hydrogen and $$B$$ contains $$1 \mathrm{...
JEE Main 2024 (Online) 27th January Evening Shift
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of $$\frac{\mathrm{C...
JEE Main 2024 (Online) 27th January Evening Shift
The equation of state of a real gas is given by $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$$, where ...
JEE Main 2024 (Online) 27th January Evening Shift
The total kinetic energy of 1 mole of oxygen at $$27^{\circ} \mathrm{C}$$ is : [Use universal gas constant $$(R)=8.31 \mathrm{~J} /$$ mole K]
JEE Main 2024 (Online) 27th January Morning Shift
$$0.08 \mathrm{~kg}$$ air is heated at constant volume through $$5^{\circ} \mathrm{C}$$. The specific heat of air at constant volume is $$0.17 \mathrm...
JEE Main 2024 (Online) 27th January Morning Shift
The average kinetic energy of a monatomic molecule is $$0.414 \mathrm{~eV}$$ at temperature : (Use $$K_B=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{mo...
JEE Main 2023 (Online) 15th April Morning Shift
A thermodynamic system is taken through cyclic process. The total work done in the process is : ...
JEE Main 2023 (Online) 15th April Morning Shift
A flask contains Hydrogen and Argon in the ratio $2: 1$ by mass. The temperature of the mixture is $30^{\circ} \mathrm{C}$. The ratio of average kinet...
JEE Main 2023 (Online) 13th April Evening Shift
The initial pressure and volume of an ideal gas are P$$_0$$ and V$$_0$$. The final pressure of the gas when the gas is suddenly compressed to volume $...
JEE Main 2023 (Online) 13th April Evening Shift
The mean free path of molecules of a certain gas at STP is $$1500 \mathrm{~d}$$, where $$\mathrm{d}$$ is the diameter of the gas molecules. While main...
JEE Main 2023 (Online) 13th April Morning Shift
The rms speed of oxygen molecule in a vessel at particular temperature is $$\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$$, where $$v$$ is the average s...
JEE Main 2023 (Online) 12th April Morning Shift
An engine operating between the boiling and freezing points of water will have A. efficiency more than 27%. B. efficiency less than the efficiency of ...
JEE Main 2023 (Online) 12th April Morning Shift
If the r. m.s speed of chlorine molecule is $$490 \mathrm{~m} / \mathrm{s}$$ at $$27^{\circ} \mathrm{C}$$, the r. m. s speed of argon molecules at the...
JEE Main 2023 (Online) 11th April Evening Shift
The Thermodynamic process, in which internal energy of the system remains constant is
JEE Main 2023 (Online) 11th April Evening Shift
The root mean square speed of molecules of nitrogen gas at $$27^{\circ} \mathrm{C}$$ is approximately : (Given mass of a nitrogen molecule $$=4.6 \tim...
JEE Main 2023 (Online) 11th April Morning Shift
$$1 \mathrm{~kg}$$ of water at $$100^{\circ} \mathrm{C}$$ is converted into steam at $$100^{\circ} \mathrm{C}$$ by boiling at atmospheric pressure. Th...
JEE Main 2023 (Online) 11th April Morning Shift
On a temperature scale '$$\mathrm{X}$$', the boiling point of water is $$65^{\circ} \mathrm{X}$$ and the freezing point is $$-15^{\circ} \mathrm{X}$$....
JEE Main 2023 (Online) 11th April Morning Shift
Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chl...
JEE Main 2023 (Online) 10th April Evening Shift
A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the s...
JEE Main 2023 (Online) 10th April Evening Shift
A gas is compressed adiabatically, which one of the following statement is NOT true.
JEE Main 2023 (Online) 10th April Morning Shift
Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isoth...
JEE Main 2023 (Online) 10th April Morning Shift
Match List I with List II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-fami...
JEE Main 2023 (Online) 8th April Evening Shift
The temperature at which the kinetic energy of oxygen molecules becomes double than its value at $$27^{\circ} \mathrm{C}$$ is
JEE Main 2023 (Online) 8th April Evening Shift
Work done by a Carnot engine operating between temperatures $$127^{\circ} \mathrm{C}$$ and $$27^{\circ} \mathrm{C}$$ is $$2 \mathrm{~kJ}$$. The amount...
JEE Main 2023 (Online) 8th April Morning Shift
Given below are two statements: Statement I: If heat is added to a system, its temperature must increase. Statement II: If positive work is done by a ...
JEE Main 2023 (Online) 6th April Evening Shift
The temperature of an ideal gas is increased from $$200 \mathrm{~K}$$ to $$800 \mathrm{~K}$$. If r.m.s. speed of gas at $$200 \mathrm{~K}$$ is $$v_{0}...
JEE Main 2023 (Online) 6th April Evening Shift
A body cools in 7 minutes from $$60^{\circ} \mathrm{C}$$ to $$40^{\circ} \mathrm{C}$$. The temperature of the surrounding is $$10^{\circ} \mathrm{C}$$...
JEE Main 2023 (Online) 6th April Evening Shift
The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:
JEE Main 2023 (Online) 6th April Morning Shift
A source supplies heat to a system at the rate of $$1000 \mathrm{~W}$$. If the system performs work at a rate of $$200 \mathrm{~W}$$. The rate at whic...
JEE Main 2023 (Online) 6th April Morning Shift
The number of air molecules per cm$$^3$$ increased from $$3\times10^{19}$$ to $$12\times10^{19}$$. The ratio of collision frequency of air molecules b...
JEE Main 2023 (Online) 1st February Evening Shift
A Carnot engine operating between two reservoirs has efficiency $$\frac{1}{3}$$. When the temperature of cold reservoir raised by x, its efficiency de...
JEE Main 2023 (Online) 1st February Evening Shift
For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure. The...
JEE Main 2023 (Online) 1st February Morning Shift
A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. The work done by the gas in the process is $$\left(\mathrm{given}...
JEE Main 2023 (Online) 1st February Morning Shift
$$\left(P+\frac{a}{V^{2}}\right)(V-b)=R T$$ represents the equation of state of some gases. Where $$P$$ is the pressure, $$V$$ is the volume, $$T$$ is...
JEE Main 2023 (Online) 31st January Evening Shift
Heat energy of $735 \mathrm{~J}$ is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an inte...
JEE Main 2023 (Online) 31st January Evening Shift
A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initia...
JEE Main 2023 (Online) 31st January Morning Shift
The pressure of a gas changes linearly with volume from $$\mathrm{A}$$ to $$\mathrm{B}$$ as shown in figure. If no heat is supplied to or extracted fr...
JEE Main 2023 (Online) 31st January Morning Shift
The correct relation between $$\gamma = {{{c_p}} \over {{c_v}}}$$ and temperature T is :
JEE Main 2023 (Online) 30th January Evening Shift
Given below are two statements: one is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$ Assertion A: Efficiency of ...
JEE Main 2023 (Online) 30th January Evening Shift
A flask contains hydrogen and oxygen in the ratio of $2: 1$ by mass at temperature $27^{\circ} \mathrm{C}$. The ratio of average kinetic energy per mo...
JEE Main 2023 (Online) 30th January Morning Shift
The pressure $$(\mathrm{P})$$ and temperature ($$\mathrm{T})$$ relationship of an ideal gas obeys the equation $$\mathrm{PT}^{2}=$$ constant. The vol...
JEE Main 2023 (Online) 30th January Morning Shift
Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. I...
JEE Main 2023 (Online) 29th January Evening Shift
Heat energy of 184 kJ is given to ice of mass 600 g at $$-12^\circ \mathrm{C}$$. Specific heat of ice is $$\mathrm{2222.3~J~kg^{-1^\circ}~C^{-1}}$$ an...
JEE Main 2023 (Online) 29th January Evening Shift
At 300 K, the rms speed of oxygen molecules is $$\sqrt {{{\alpha + 5} \over \alpha }} $$ times to that of its average speed in the gas. Then, the val...
JEE Main 2023 (Online) 29th January Morning Shift
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If $$d Q$$ and $$d W$$ represent th...
JEE Main 2023 (Online) 25th January Evening Shift
Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family...
JEE Main 2023 (Online) 25th January Evening Shift
The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions...
JEE Main 2023 (Online) 25th January Evening Shift
According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrati...
JEE Main 2023 (Online) 25th January Morning Shift
The root mean square velocity of molecules of gas is
JEE Main 2023 (Online) 25th January Morning Shift
A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency to 70%, keeping the temperature of sink sam...
JEE Main 2023 (Online) 24th January Evening Shift
Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $$\gamma_...
JEE Main 2023 (Online) 24th January Evening Shift
In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; $$\mathrm{T_3 > T_2 > T_1}$$ a...
JEE Main 2023 (Online) 24th January Morning Shift
1 g of a liquid is converted to vapour at 3 $$\times$$ 10$$^5$$ Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600 cm$...
JEE Main 2023 (Online) 24th January Morning Shift
Given below are two statements : Statement I : The temperature of a gas is $$-73^\circ$$C. When the gas is heated to $$527^\circ$$C, the root mean squ...
JEE Main 2022 (Online) 29th July Evening Shift
A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the figure. Its volume is then redu...
JEE Main 2022 (Online) 29th July Evening Shift
The root mean square speed of smoke particles of mass $$5 \times 10^{-17} \mathrm{~kg}$$ in their Brownian motion in air at NTP is approximately. [Giv...
JEE Main 2022 (Online) 28th July Evening Shift
A vessel contains $$14 \mathrm{~g}$$ of nitrogen gas at a temperature of $$27^{\circ} \mathrm{C}$$. The amount of heat to be transferred to the gas to...
JEE Main 2022 (Online) 28th July Morning Shift
A Carnot engine has efficiency of $$50 \%$$. If the temperature of sink is reduced by $$40^{\circ} \mathrm{C}$$, its efficiency increases by $$30 \%$$...
JEE Main 2022 (Online) 28th July Morning Shift
Given below are two statements : Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature. Statement II : T...
JEE Main 2022 (Online) 27th July Evening Shift
In $$1^{\text {st }}$$ case, Carnot engine operates between temperatures $$300 \mathrm{~K}$$ and $$100 \mathrm{~K}$$. In $$2^{\text {nd }}$$ case, as ...
JEE Main 2022 (Online) 27th July Evening Shift
Which statements are correct about degrees of freedom ? (A) A molecule with n degrees of freedom has n$$^{2}$$ different ways of storing energy. (B) E...
JEE Main 2022 (Online) 27th July Morning Shift
If $$K_{1}$$ and $$K_{2}$$ are the thermal conductivities, $$L_{1}$$ and $$L_{2}$$ are the lengths and $$A_{1}$$ and $$A_{2}$$ are the cross sectional...
JEE Main 2022 (Online) 27th July Morning Shift
Read the following statements : A. When small temperature difference between a liquid and its surrounding is doubled, the rate of loss of heat of the ...
JEE Main 2022 (Online) 27th July Morning Shift
Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is $$1: 4$$, then A. The r.m.s. ...
JEE Main 2022 (Online) 26th July Evening Shift
An ice cube of dimensions $$60 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}$$ is placed in an insulation box of wall thickness $$1 \math...
JEE Main 2022 (Online) 26th July Evening Shift
A gas has $$n$$ degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be :...
JEE Main 2022 (Online) 26th July Morning Shift
7 mol of a certain monoatomic ideal gas undergoes a temperature increase of $$40 \mathrm{~K}$$ at constant pressure. The increase in the internal ener...
JEE Main 2022 (Online) 26th July Morning Shift
A monoatomic gas at pressure $$\mathrm{P}$$ and volume $$\mathrm{V}$$ is suddenly compressed to one eighth of its original volume. The final pressure ...
JEE Main 2022 (Online) 25th July Evening Shift
Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is $$\sqrt2$$ times the speed ...
JEE Main 2022 (Online) 25th July Evening Shift
Let $$\eta_{1}$$ is the efficiency of an engine at $$T_{1}=447^{\circ} \mathrm{C}$$ and $$\mathrm{T}_{2}=147^{\circ} \mathrm{C}$$ while $$\eta_{2}$$ i...
JEE Main 2022 (Online) 25th July Morning Shift
A certain amount of gas of volume $$\mathrm{V}$$ at $$27^{\circ} \mathrm{C}$$ temperature and pressure $$2 \times 10^{7} \mathrm{Nm}^{-2}$$ expands is...
JEE Main 2022 (Online) 25th July Morning Shift
Following statements are given : (A) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (B) The average kinetic e...
JEE Main 2022 (Online) 30th June Morning Shift
The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a li...
JEE Main 2022 (Online) 30th June Morning Shift
A sample of monoatomic gas is taken at initial pressure of 75 kPa. The volume of the gas is then compressed from 1200 cm3 to 150 cm3 adiabatically. In...
JEE Main 2022 (Online) 29th June Evening Shift
At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm ? Both the diameters h...
JEE Main 2022 (Online) 29th June Evening Shift
Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work done by the gas is W1 if the pr...
JEE Main 2022 (Online) 29th June Evening Shift
A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is :
JEE Main 2022 (Online) 29th June Morning Shift
A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperatu...
JEE Main 2022 (Online) 29th June Morning Shift
In van der Waal equation $$\left[ {P + {a \over {{V^2}}}} \right]$$ [V $$-$$ b] = RT; P is pressure, V is volume, R is universal gas constant and T is...
JEE Main 2022 (Online) 28th June Evening Shift
A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC a...
JEE Main 2022 (Online) 28th June Evening Shift
What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic...
JEE Main 2022 (Online) 28th June Morning Shift
Given below are two statements : Statement I : When $$\mu$$ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2...
JEE Main 2022 (Online) 27th June Evening Shift
For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows : ...
JEE Main 2022 (Online) 27th June Evening Shift
According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0$$^\circ$$C. B. The mean free path of gas molecules decreases if ...
JEE Main 2022 (Online) 27th June Evening Shift
A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is : (...
JEE Main 2022 (Online) 27th June Morning Shift
A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to...
JEE Main 2022 (Online) 26th June Evening Shift
A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept at 27$$^\circ$$C. The ratio of their average kinetic energy pe...
JEE Main 2022 (Online) 26th June Morning Shift
The efficiency of a Carnot's engine, working between steam point and ice point, will be :
JEE Main 2022 (Online) 26th June Morning Shift
A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly ...
JEE Main 2022 (Online) 25th June Evening Shift
A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10$$^\circ$$C, calculate the increase in...
JEE Main 2022 (Online) 25th June Evening Shift
A copper block of mass 5.0 kg is heated to a temperature of 500$$^\circ$$C and is placed on a large ice block. What is the maximum amount of ice that ...
JEE Main 2022 (Online) 25th June Evening Shift
The ratio of specific heats $$\left( {{{{C_P}} \over {{C_V}}}} \right)$$ in terms of degree of freedom (f) is given by :
JEE Main 2022 (Online) 25th June Morning Shift
The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecule at the temperature of 300 K...
JEE Main 2022 (Online) 24th June Evening Shift
A Carnot engine takes 5000 kcal of heat from a reservoir at 727$$^\circ$$C and gives heat to a sink at 127$$^\circ$$C. The work done by the engine is...
JEE Main 2022 (Online) 24th June Evening Shift
A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms$$-$$1. What will be the rise in the temperature of the nail if one four...
JEE Main 2022 (Online) 24th June Morning Shift
A Carnot engine whose heat sinks at 27$$^\circ$$C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to in...
JEE Main 2022 (Online) 24th June Morning Shift
Two metallic blocks M1 and M2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2 is K t...
JEE Main 2021 (Online) 31st August Evening Shift
Two thin metallic spherical shells of radii r1 and r2 (r1 < r2) are placed with their centres coinciding. A material of thermal conductivity K is f...
JEE Main 2021 (Online) 31st August Evening Shift
A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen wi...
JEE Main 2021 (Online) 31st August Morning Shift
A reversible engine has an efficiency of $${1 \over 4}$$. If the temperature of the sink is reduced by 58$$^\circ$$C, its efficiency becomes double. C...
JEE Main 2021 (Online) 31st August Morning Shift
For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the equation $${{dp} \over {dv}} = - ap$$. If p = p0 at v =0 i...
JEE Main 2021 (Online) 27th August Evening Shift
if the rms speed of oxygen molecules at 0$$^\circ$$C is 160 m/s, find the rms speed of hydrogen molecules at 0$$^\circ$$C.
JEE Main 2021 (Online) 27th August Evening Shift
The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fall?[Given 1 cal = 4.2 J and spe...
JEE Main 2021 (Online) 27th August Morning Shift
A balloon carries a total load of 185 kg at normal pressure and temperature of 27$$^\circ$$C. What load will the balloon carry on rising to a height a...
JEE Main 2021 (Online) 27th August Morning Shift
An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is :
JEE Main 2021 (Online) 26th August Evening Shift
The temperature of equal masses of three different liquids x, y and z are 10$$^\circ$$C, 20$$^\circ$$C and 30$$^\circ$$C respectively. The temperature...
JEE Main 2021 (Online) 26th August Evening Shift
A cylindrical container of volume 4.0 $$\times$$ 10$$-$$3 m3 contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of ...
JEE Main 2021 (Online) 26th August Evening Shift
A refrigerator consumes an average 35W power to operate between temperature $$-$$10$$^\circ$$C to 25$$^\circ$$C. If there is no loss of energy then ho...
JEE Main 2021 (Online) 26th August Morning Shift
An electric appliance supplies 6000 J/min heat to the system. If the system delivers a power of 90W. How long it would take to increase the internal e...
JEE Main 2021 (Online) 26th August Morning Shift
The rms speeds of the molecules of Hydrogen, Oxygen and Carbon dioxide at the same temperature are VH, VO and VC respectively then :...
JEE Main 2021 (Online) 27th July Evening Shift
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27$$^\circ$$ C to 37$$^\circ$$ C. If the ideal gas is ...
JEE Main 2021 (Online) 27th July Evening Shift
Two Carnot engines A and B operate in series such that engine A absorbs heat at T1 and rejects heat to a sink at temperature T. Engine B absorbs half ...
JEE Main 2021 (Online) 27th July Morning Shift
The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $$\times$$ 10$$-$$9 J per molecule...
JEE Main 2021 (Online) 27th July Morning Shift
In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the gas during the process A $$\to$...
JEE Main 2021 (Online) 25th July Evening Shift
A heat engine has an efficiency of $${1 \over 6}$$. When the temperature of sink is reduced by 62$$^\circ$$C, its efficiency get doubled. The temperat...
JEE Main 2021 (Online) 25th July Morning Shift
For a gas CP $$-$$ CV = R in a state P and CP $$-$$ CV = 1.10 R in a state Q, TP and TQ are the temperatures in two different states P and Q respectiv...
JEE Main 2021 (Online) 25th July Morning Shift
A monoatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabati...
JEE Main 2021 (Online) 25th July Morning Shift
Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is ...
JEE Main 2021 (Online) 22th July Evening Shift
What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?
JEE Main 2021 (Online) 20th July Evening Shift
Which of the following graphs represent the behavior of an ideal gas? Symbols have their usual meaning.
JEE Main 2021 (Online) 20th July Evening Shift
The correct relation between the degrees of freedom f and the ratio of specific heat $$\gamma$$ is :
JEE Main 2021 (Online) 20th July Morning Shift
Consider a mixture of gas molecule of types A, B and C having masses mA < mB < mC. The ratio of their root mean square speeds at normal temperat...
JEE Main 2021 (Online) 20th July Morning Shift
The amount of heat needed to raise the temperature of 4 moles of rigid diatomic gas from 0$$^\circ$$ C to 50$$^\circ$$ C when no work is done is ____...
JEE Main 2021 (Online) 20th July Morning Shift
The entropy of any system is given by $$S = {\alpha ^2}\beta \ln \left[ {{{\mu kR} \over {J{\beta ^2}}} + 3} \right]$$ where $$\alpha$$ and $$\beta$$ ...
JEE Main 2021 (Online) 18th March Evening Shift
Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule...
JEE Main 2021 (Online) 18th March Evening Shift
For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $$\gamma$$ is the ratio of specific heats) :
JEE Main 2021 (Online) 18th March Evening Shift
An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the other part is S2. Given that S1 &...
JEE Main 2021 (Online) 18th March Morning Shift
The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use $$\...
JEE Main 2021 (Online) 18th March Morning Shift
What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T? (kB is Boltzmann cons...
JEE Main 2021 (Online) 17th March Evening Shift
If one mole of the polyatomic gas is having two vibrational modes and $$\beta$$ is the ratio of molar specific heats for polyatomic gas $$\left( {\bet...
JEE Main 2021 (Online) 17th March Evening Shift
Which one is the correct option for the two different thermodynamic processes?...
JEE Main 2021 (Online) 17th March Morning Shift
A polyatomic ideal gas has 24 vibrational modes. What is the value of $$\gamma$$?
JEE Main 2021 (Online) 17th March Morning Shift
Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and m2, n1 and n2 be the degrees o...
JEE Main 2021 (Online) 17th March Morning Shift
Two identical metal wires of thermal conductivities K1 and K2 respectively are connected in series. The effective thermal conductivity of the combinat...
JEE Main 2021 (Online) 17th March Morning Shift
A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy supplied to the engine from the sou...
JEE Main 2021 (Online) 16th March Evening Shift
Calculate the value of mean free path ($$\lambda$$) for oxygen molecules at temperature 27$$^\circ$$C and pressure 1.01 $$\times$$ 105 Pa. Assume the ...
JEE Main 2021 (Online) 16th March Evening Shift
A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher coefficient of expansion compared to that of met...
JEE Main 2021 (Online) 16th March Morning Shift
In thermodynamics, heat and work are :
JEE Main 2021 (Online) 16th March Morning Shift
The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T....
JEE Main 2021 (Online) 26th February Evening Shift
The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U $$=$$ 3PV + 4. The gas is :
JEE Main 2021 (Online) 26th February Morning Shift
The temperature $$\theta$$ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures $$\th...
JEE Main 2021 (Online) 25th February Evening Shift
Given below are two statements :Statement I : In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution.Statem...
JEE Main 2021 (Online) 25th February Evening Shift
Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If V2 = 2V1 then the ratio of temperature T2/T1 is :...
JEE Main 2021 (Online) 25th February Morning Shift
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : When a rod lying freely is heated,...
JEE Main 2021 (Online) 25th February Morning Shift
A diatomic gas, having $${C_p} = {7 \over 2}R$$ and $${C_v} = {5 \over 2}R$$, is heated at constant pressure. The ratio dU : dQ : dW :
JEE Main 2021 (Online) 24th February Evening Shift
If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduced to one-half of the original ...
JEE Main 2021 (Online) 24th February Evening Shift
On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
JEE Main 2021 (Online) 24th February Morning Shift
Match List I with List II. List I List II (a) Isothermal (i) Pressure constant (b) Isochor...
JEE Main 2021 (Online) 24th February Morning Shift
n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.A $$ \to $$ B : Isothermal expansion at tem...
JEE Main 2021 (Online) 24th February Morning Shift
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansion of the metal sheet is '$$\al...
JEE Main 2020 (Online) 6th September Evening Slot
In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :
JEE Main 2020 (Online) 6th September Evening Slot
Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity K1 , K2 and K3 , respecrtively. They ...
JEE Main 2020 (Online) 6th September Morning Slot
Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom.The gas is maintained at a te...
JEE Main 2020 (Online) 5th September Evening Slot
Two different wires having lengths L1 and L2, and respective temperature coefficient of linear expansion $$\alpha $$1 and $$\alpha $$2, are joined end...
JEE Main 2020 (Online) 5th September Evening Slot
In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas is found to be n times the in...
JEE Main 2020 (Online) 5th September Morning Slot
A bullet of mass 5 g, travelling with a speed of 210 m/s, strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the ...
JEE Main 2020 (Online) 5th September Morning Slot
Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The paths are labelled as A $$ \to $$ B, A $$ \to...
JEE Main 2020 (Online) 5th September Morning Slot
Number of molecules in a volume of 4 cm3 of a perfect monoatomic gas at some temperature T and at a pressure of 2 cm of mercury is close to? (Given, m...
JEE Main 2020 (Online) 4th September Evening Slot
Match the thermodynamic processes taking place in a system with the correct conditions. In the table : $$\Delta $$Q is the heat supplied, $$\Delta $$W...
JEE Main 2020 (Online) 4th September Morning Slot
The specific heat of water = 4200 J kg-1K-1 and the latent heat of ice = 3.4 $$ \times $$ 105 J kg–1. 100 grams of ice at 0oC is placed in 200 g of wa...
JEE Main 2020 (Online) 4th September Morning Slot
Match the $${{{C_P}} \over {{C_V}}}$$ ratio for ideal gases with different type of molecules : .tg {border-collapse:collapse;border-spacing:0;} .tg ...
JEE Main 2020 (Online) 3rd September Evening Slot
To raise the temperature of a certain mass of gas by 50oC at a constant pressure, 160 calories of heat is required. When the same mass of gas is coole...
JEE Main 2020 (Online) 3rd September Evening Slot
A calorimeter of water equivalent 20 g contains 180 g of water at 25oC. ‘m’ grams of steam at 100oC is mixed in it till the temperature of the mixure ...
JEE Main 2020 (Online) 3rd September Morning Slot
A balloon filled with helium (32oC and 1.7 atm.) bursts. Immediately afterwards the expansion of helium can be considered as
JEE Main 2020 (Online) 3rd September Morning Slot
Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atom...
JEE Main 2020 (Online) 2nd September Evening Slot
When the temperature of a metal wire is increased from 0oC to 10oC, its length increases by 0.02%. The percentage change in its mass density will be c...
JEE Main 2020 (Online) 2nd September Evening Slot
A heat engine is involved with exchange of heat of 1915 J, – 40J, + 125 J and –Q J, during one cycle achieving an efficiency of 50.0%. The value of Q ...
JEE Main 2020 (Online) 2nd September Evening Slot
An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true? (A) the mean free path ...
JEE Main 2020 (Online) 2nd September Morning Slot
A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen bond to be rigid, the...
JEE Main 2020 (Online) 9th January Evening Slot
Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the same number density and are at ...
JEE Main 2020 (Online) 9th January Morning Slot
Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an a...
JEE Main 2020 (Online) 9th January Morning Slot
Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure ? where, 1 $$ \to $$ 2 is adiabat...
JEE Main 2020 (Online) 8th January Evening Slot
A carnot engine having an efficiency of $${1 \over {10}}$$ is being used as a refrigerator. If the work done on the refrigerator is 10 J, the amount o...
JEE Main 2020 (Online) 8th January Evening Slot
Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its CP/CV value will be :...
JEE Main 2020 (Online) 8th January Morning Slot
The plot that depicts the behavior of the mean free time t (time between two successive collisions) for the molecules of an ideal gas, as a function o...
JEE Main 2020 (Online) 8th January Morning Slot
A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is : (Diagrams are schematic and not to scale)...
JEE Main 2020 (Online) 7th January Evening Slot
Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperature, T1 and...
JEE Main 2020 (Online) 7th January Evening Slot
Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from $${\ta...
JEE Main 2020 (Online) 7th January Morning Slot
Two moles of an ideal gas with $${{{C_P}} \over {{C_V}}} = {5 \over 3}$$ are mixed with 3 moles of another ideal gas with $${{{C_P}} \over {{C_V}}} = ...
JEE Main 2020 (Online) 7th January Morning Slot
A litre of dry air at STP expands adiabatically to a volume of 3 litres. If $$\gamma $$ = 1.40, the work done by air is : (31.4 = 4.6555) [Take air to...
JEE Main 2019 (Online) 12th April Evening Slot
A Carnot engine has an efficiency of $${1 \over 6}$$. When the temperature of the sink is reduced by 62ºC, its efficiency is doubled. The temperatures...
JEE Main 2019 (Online) 12th April Evening Slot
One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of 20 $$\Omega $$. The rms v...
JEE Main 2019 (Online) 12th April Evening Slot
A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this p...
JEE Main 2019 (Online) 12th April Morning Slot
A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal energy of the gas along the path ...
JEE Main 2019 (Online) 12th April Morning Slot
At 40o C, a brass wire of 1 mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down fr...
JEE Main 2019 (Online) 12th April Morning Slot
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant vo...
JEE Main 2019 (Online) 12th April Morning Slot
When M1 gram of ice at –10oC (specific heat = 0.5 cal g–1 oC–1 ) is added to M2 gram of water at 50C, finally no ice is left and the water is at 0°C. ...
JEE Main 2019 (Online) 10th April Evening Slot
One mole of ideal gas passes through a process where pressure and volume obey the relation $$P = {P_0}\left[ {1 - {1 \over 2}{{\left( {{{{V_0}} \over ...
JEE Main 2019 (Online) 10th April Evening Slot
When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $$\Delta $$T. the heat required to produ...
JEE Main 2019 (Online) 10th April Morning Slot
A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by 20°C is : [Giv...
JEE Main 2019 (Online) 10th April Morning Slot
A 25 × 10–3 m3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300K). The molecular diameter of O2, and its root mean square speed...
JEE Main 2019 (Online) 10th April Morning Slot
n moles of an ideal gas with constant volume heat capcity CV undergo an isobaric expansion by certain volume. The ratio of the work done in the proces...
JEE Main 2019 (Online) 9th April Evening Slot
A massless spring (k = 800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is stretched by 2 cm and released so...
JEE Main 2019 (Online) 9th April Evening Slot
The specific heats, CP and CV of a gas of diatomic molecules, A, are given (in units of J mol–1 K–1) by 29 and 22, respectively. Another gas of diato...
JEE Main 2019 (Online) 9th April Evening Slot
Two materials having coefficients of thermal conductivity '3K' and 'K' and thickness 'd' and '3d', respectively, are joined to form a slab as shown in...
JEE Main 2019 (Online) 9th April Morning Slot
An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is $$\overline v $$ ,...
JEE Main 2019 (Online) 9th April Morning Slot
Following figure shows two processes A and B for a gas. If $$\Delta $$QA and $$\Delta $$QB are the amount of heat absorbed by the system in two cases,...
JEE Main 2019 (Online) 9th April Morning Slot
For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will ...
JEE Main 2019 (Online) 8th April Evening Slot
The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the same order...
JEE Main 2019 (Online) 8th April Evening Slot
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to : [Boltzmann ...
JEE Main 2019 (Online) 8th April Morning Slot
Two identical beakers A and B contain equal volumes of two different liquids at 60°C each and left to cool down. Liquid in A has density of 8 × 102 kg...
JEE Main 2019 (Online) 8th April Morning Slot
A thermally insulated vessel contains 150g of water at 0°C. Then the air from the vessel is pumped out adiabatically. A fraction of water turns into i...
JEE Main 2019 (Online) 12th January Evening Slot
An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive collisions is 6 $$ \times $$ 1...
JEE Main 2019 (Online) 12th January Evening Slot
A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move alon...
JEE Main 2019 (Online) 12th January Morning Slot
An ideal gas occupies a volume of 2m3 at a pressure of 3 $$ \times $$ 106 Pa. The energy of the gas is :
JEE Main 2019 (Online) 12th January Morning Slot
A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductivity of the material of the inn...
JEE Main 2019 (Online) 12th January Morning Slot
For the given cyclic process CAB as shown for a gas, the work done is : ...
JEE Main 2019 (Online) 11th January Evening Slot
Two rods A and B of identical dimensions are at temperature 30°C. If A is heated upto 180oC and B upto ToC, then the new lengths are the same. If the ...
JEE Main 2019 (Online) 11th January Evening Slot
When 100 g of a liquid A at 100oC is added to 50 g of a liquid B at temperature 75oC, the temperature of the mixture becomes 90oC. The temperature of ...
JEE Main 2019 (Online) 11th January Evening Slot
A metal ball of mass 0.1 kg is heated upto 500oC and dropped into a vessel of heat capacity 800 JK–1 and containing 0.5 kg water. The initial temperat...
JEE Main 2019 (Online) 11th January Evening Slot
A thermometer graduated according to a linear scale reads a value x0 when in contact with boiling water, and x0/3 when in contact with ice. What is th...
JEE Main 2019 (Online) 11th January Evening Slot
In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K, where K is a constant. In thi...
JEE Main 2019 (Online) 11th January Morning Slot
A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. considering only translational and rotational modes, the total inte...
JEE Main 2019 (Online) 11th January Morning Slot
A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVx = ...
JEE Main 2019 (Online) 11th January Morning Slot
Ice at –20oC is added to 50 g of water at 40oC. When the temperature of the mixture reaches 0oC, it is found that 20 g of ice is still unmelted. The a...
JEE Main 2019 (Online) 10th January Evening Slot
Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20oC to 90oC. Work done by gas is close to – (Gas constant R = 8.31 ...
JEE Main 2019 (Online) 10th January Evening Slot
Two kg of a monoatomic gas is at a pressure of 4 $$ \times $$ 104 N/m2. The density of the gas is 8 kg/m3. What is the order of energy of the gas due ...
JEE Main 2019 (Online) 10th January Evening Slot
An unknown metal of mass 192 g heated to a temperature of 100oC was immersed into a brass calorimeter of mass 128 g containing 240 g of water at a tem...
JEE Main 2019 (Online) 10th January Morning Slot
A heat source at T = 103 K is connected to another heat reservoir at T = 102 K by a copper slab which is 1 mthick. Given that the thermal conductivity...
JEE Main 2019 (Online) 10th January Morning Slot
Three Carnot engines operate in series between a heat source at a temperature T1 and a heat sink at temperature T4 (see figure). There are two other r...
JEE Main 2019 (Online) 9th January Evening Slot
Two Carnot engines A and B are operated in series. The first one, A, receives heat at T1 (= 600 K) and rejects to a reservoir at temperature T2. The s...
JEE Main 2019 (Online) 9th January Evening Slot
A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27oC. Amount of heat transferred to the gas, so that rms velocity of molecules i...
JEE Main 2019 (Online) 9th January Morning Slot
A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in a container. The ratio of the...
JEE Main 2019 (Online) 9th January Morning Slot
Temperature difference of 120oC is maintained between ends of a uniform rod AB of length 2L. Another bent rod PQ, of same cross-section as AB and leng...
JEE Main 2019 (Online) 9th January Morning Slot
A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used 60 J of heat flows into the system and 30 J of work is...
JEE Main 2019 (Online) 9th January Morning Slot
A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion $$\alpha $$/oC. ...
JEE Main 2018 (Online) 16th April Morning Slot
Two moles of helium are mixed with n moles of hydrogen. If $${{Cp} \over {Cv}} = {3 \over 2}$$ for the mixture, then the value of n is :
JEE Main 2018 (Online) 16th April Morning Slot
One mole of an ideal monoatomic gas is taken along the path ABCA as show in the PV diagram. The maximum temperature attained by the gas along the path...
JEE Main 2018 (Offline)
Two moles of an ideal monatomic gas occupies a volume V at 27oC. The gas expands adiabatically to a volume 2 V. Calculate (a) the final temperature of...
JEE Main 2018 (Online) 15th April Evening Slot
Two Carnot engines A and B are operated in series. Engine A receives heat from a reservoir at 600 K and rejects heat to a reservoir at temperature T. ...
JEE Main 2018 (Online) 15th April Evening Slot
The value closest to the thermal velocity of a Helium atom at room temperature (300 K) in ms-1 is : [kB =1.4 $$ \times $$ 10-23 J/K; mHe = 7 $$ \tim...
JEE Main 2018 (Online) 15th April Morning Slot
A Carnot's engine works as a refrigerator between $$250$$ K and $$300$$ K. It receives $$500$$ cal heat from the reservoir at the lower temperature. T...
JEE Main 2018 (Online) 15th April Morning Slot
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, $${27^ \circ }C.$$ The wo...
JEE Main 2017 (Online) 9th April Morning Slot
A steel rail of length 5 m and area of cross section 40cm2 is prevented from expanding along its length while the temperature rises by 10oC. If coeff...
JEE Main 2017 (Online) 9th April Morning Slot
N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n mole...
JEE Main 2017 (Online) 9th April Morning Slot
For the P-V diagram given for an ideal gas, out of the following which one correctly represents the T-P diagram ? ...
JEE Main 2017 (Online) 8th April Morning Slot
In an experiment, a sphere of aluminium of mass 0.20 kg is heated upto 150oC. Immediately, it is put into water of volume 150 cc at 27oC kept in a cal...
JEE Main 2017 (Online) 8th April Morning Slot
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by $$\De...
JEE Main 2017 (Online) 8th April Morning Slot
An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of the engine is : (Take Cv = 1.5...
JEE Main 2017 (Online) 8th April Morning Slot
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (Cp ) and at constant volume (Cv) is : ...
JEE Main 2017 (Offline)
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperat...
JEE Main 2017 (Offline)
An external pressure P is applied on a cube at 0oC so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube ...
JEE Main 2017 (Offline)
The temperature of an open room of volume 30 m3 increases from 17oC to 27oC due to the sunshine. The atmospheric pressure in the room remains 1 $$ \ti...
JEE Main 2017 (Offline)
CP and Cv are specific heats at constant pressure and constant volume respectively. It is observed that CP – Cv = a for hydrogen gas CP – Cv = b for n...
JEE Main 2016 (Online) 10th April Morning Slot
A Carnot freezer takes heat from water at 0oC inside it and rejects it to the room at a temperature of 27oC. The latent heat of ice is 336×103 J kg−1....
JEE Main 2016 (Online) 10th April Morning Slot
Which of the following shows the correct relationship between the pressure ‘P’ and density $$\rho $$ of an ideal gas at constant temperature ?
JEE Main 2016 (Online) 9th April Morning Slot
The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is :
JEE Main 2016 (Online) 9th April Morning Slot
200 g water is heated from 40oC to 60oC. Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of...
JEE Main 2016 (Online) 9th April Morning Slot
A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the temperature of the wire is incre...
JEE Main 2016 (Offline)
An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $$C$$ remains constant. If during this process the relation...
JEE Main 2016 (Offline)
A pendulum clock loses $$12$$ $$s$$ a day if the temperature is $${40^ \circ }C$$ and gains $$4$$ $$s$$ a day if the temperature is $${20^ \circ }C.$$...
JEE Main 2016 (Offline)
$$'n'$$ moles of an ideal gas undergoes a process $$A$$ $$ \to $$ $$B$$ as shown in the figure. The maximum temperature of the gas during the process ...
JEE Main 2015 (Offline)
A solid body of constant heat capacity $$1$$ $$J/{}^ \circ C$$ is being heated by keeping it in contact with reservoirs in two ways: $$(i)$$ Sequenti...
JEE Main 2015 (Offline)
Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molec...
JEE Main 2015 (Offline)
Consider a spherical shell of radius $$R$$ at temperature $$T$$. The black body radiation inside it can be considered as an ideal gas of photons with ...
JEE Main 2014 (Offline)
Three rods of Copper, Brass and Steel are welded together to form a $$Y$$ shaped structure. Area of cross - section of each rod $$ = 4c{m^2}.$$ End of...
JEE Main 2014 (Offline)
One mole of a diatomic ideal gas undergoes a cyclic process $$ABC$$ as shown in figure. The process $$BC$$ is adiabatic. The temperatures at $$A, B$$ ...
JEE Main 2013 (Offline)
Assume that a drop of liquid evaporates by decreases in its surface energy, so that its temperature remains unchanged. What should be the minimum radi...
JEE Main 2013 (Offline)
The above $$p$$-$$v$$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted ...
AIEEE 2012
A Carnot engine, whose efficiency is $$40\% $$, takes in heat from a source maintained at a temperature of $$500$$ $$K.$$ It is desired to have an eng...
AIEEE 2012
Helium gas goes through a cycle $$ABCD$$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency of this cycle is nearly : (Ass...
AIEEE 2012
A wooden wheel of radius $$R$$ is made of two semicircular part (see figure). The two parts are held together by a ring made of a metal strip of cross...
AIEEE 2011
Three perfect gases at absolute temperatures $${T_1},\,{T_2}$$ and $${T_3}$$ are mixed. The masses of molecules are $${m_1},{m_2}$$ and $${m_3}$$ and ...
AIEEE 2011
A Carnot engine operating between temperatures $${{T_1}}$$ and $${{T_2}}$$ has efficiency $${1 \over 6}$$. When $${T_2}$$ is lowered by $$62$$ $$K$$ i...
AIEEE 2011
A thermally insulated vessel contains an ideal gas of molecular mass $$M$$ and ratio of specific heats $$\gamma .$$ It is moving with speed $$v$$ and ...
AIEEE 2011
$$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignoring the slight expansion of the water, the change in its internal energy...
AIEEE 2010
A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas in...
AIEEE 2009
Statement - 1: The temperature dependence of resistance is usually given as $$R = {R_0}\left( {1 + \alpha \,\Delta t} \right).$$ The resistance of wir...
AIEEE 2009
One $$kg$$ of a diatomic gas is at a pressure of $$8 \times {10^4}\,N/{m^2}.$$ The density of the gas is $$4kg/{m^3}$$. What is the energy of the gas ...
AIEEE 2009
A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature $$\theta $$ along the leng...
AIEEE 2009
Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$-$$T$$ diagram. Assuming the gas to be ideal the work done on the ga...
AIEEE 2009
Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$-$$T$$ diagram. The work done on the gas in taking it from $$D$$ to ...
AIEEE 2009
Two moles of helium gas are taken over the cycle $$ABCD$$, as shown in the $$P$$-$$T$$ diagram. The net work done on the gas in the cycle $$ABCDA$$ ...
AIEEE 2008
The speed of sound in oxygen $$\left( {{O_2}} \right)$$ at a certain temperature is $$460\,\,m{s^{ - 1}}.$$ The speed of sound in helium $$(He)$$ at t...
AIEEE 2008
An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $${V_1}$$ and contains ideal gas ...
AIEEE 2007
A Carnot engine, having an efficiency of $$\eta = 1/10$$ as heat engine, is used as a refrigerator . If the work done on the system is $$10$$ $$J$$, ...
AIEEE 2007
If $${C_p}$$ and $${C_v}$$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
AIEEE 2007
When a system is taken from state $$i$$ to state $$f$$ along the path iaf, it is found that $$Q=50$$ cal and $$W=20$$ $$cal$$. Along the path $$ibf$$ ...
AIEEE 2007
One end of a thermally insulated rod is kept at a temperature $${T_1}$$ and the other at $${T_2}$$. The rod is composed of two sections of length $${L...
AIEEE 2006
The work of $$146$$ $$kJ$$ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increas...
AIEEE 2006
Assuming the Sun to be a spherical body of radius $$R$$ at a temperature of $$TK$$, evaluate the total radiant powered incident of Earth at a distance...
AIEEE 2006
Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature $${T_0},$$ while Box contai...
AIEEE 2005
A gaseous mixture consists of $$16$$ $$g$$ of helium and $$16$$ $$g$$ of oxygen. The ratio $${{Cp} \over {{C_v}}}$$ of the mixture is
AIEEE 2005
A system goes from $$A$$ to $$B$$ via two processes $$I$$ and $$II$$ as shown in figure. If $$\Delta {U_1}$$ and $$\Delta {U_2}$$ are the changes in i...
AIEEE 2005
The figure shows a system of two concentric spheres of radii $${r_1}$$ and $${r_2}$$ are kept at temperatures $${T_1}$$ and $${T_2}$$, respectively. T...
AIEEE 2005
The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is ...
AIEEE 2004
One mole of ideal monatomic gas $$\left( {\gamma = 5/3} \right)$$ is mixed with one mole of diatomic gas $$\left( {\gamma = 7/5} \right)$$. What is ...
AIEEE 2004
If the temperature of the sun were to increase from $$T$$ to $$2T$$ and its radius from $$R$$ to $$2R$$, then the ratio of the radiant energy received...
AIEEE 2004
Two thermally insulated vessels $$1$$ and $$2$$ are filled with air at temperatures $$\left( {{T_1},{T_2}} \right),$$ volume $$\left( {{V_1},{V_2}} \r...
AIEEE 2004
Which of the following statements is correct for any thermodynamic system ?
AIEEE 2004
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity $$K$$ and $$2K$...
AIEEE 2004
Time taken by a $$836$$ $$W$$ heater to heat one litre of water from $$10{}^ \circ C$$ to $$40{}^ \circ C$$ is
AIEEE 2003
''Heat cannot by itself flow from a body at lower temperature to a body at higher temperature'' is a statement or consequence of :
AIEEE 2003
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $${C_p}/{C_V}$$ for ...
AIEEE 2003
Which of the following parameters does not characterize the thermodynamic state of mattter?
AIEEE 2003
A carnot engine takes $$3 \times {10^6}$$ cal. of heat from a reservoir at $${627^ \circ }C,$$ and gives it to a sink at $${27^ \circ }C$$. The work d...
AIEEE 2003
The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by
AIEEE 2002
Which statement is incorrect?
AIEEE 2002
Infrared radiation is detected by
AIEEE 2002
Heat given to a body which raises its temperature by $${1^ \circ }C$$ is
AIEEE 2002
Which of the following is more close to a black body?
AIEEE 2002
If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should
AIEEE 2002
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
AIEEE 2002
Even Carnot engine cannot give $$100\% $$ efficiency because we cannot
AIEEE 2002
At what temperature is the $$r.m.s$$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $${47^ \circ }C?$$
AIEEE 2002
Two spheres of the same material have radii $$1$$ $$m$$ and $$4$$ $$m$$ and temperatures $$4000$$ $$K$$ and $$2000$$ $$K$$ respectively. The ratio of ...
AIEEE 2002
1 mole of a gas with $$\gamma = 7/5$$ is mixed with $$1$$ mole of a gas with $$\gamma = 5/3,$$ then the value of $$\gamma $$ for the resulting mixtu...

MCQ (More than One Correct Answer)

JEE Main 2024 (Online) 30th January Evening Shift
Choose the correct statement for processes A & B shown in figure. ...
AIEEE 2005
Which of the following is incorrect regarding the first law of thermodynamics?

Numerical

JEE Main 2023 (Online) 13th April Evening Shift
Two plates $$\mathrm{A}$$ and $$\mathrm{B}$$ have thermal conductivities $$84 ~\mathrm{Wm}^{-1} \mathrm{~K}^{-1}$$ and $$126 ~\mathrm{Wm}^{-1} \mathrm...
JEE Main 2023 (Online) 8th April Evening Shift
A steel rod of length $$1 \mathrm{~m}$$ and cross sectional area $$10^{-4} \mathrm{~m}^{2}$$ is heated from $$0^{\circ} \mathrm{C}$$ to $$200^{\circ} ...
JEE Main 2023 (Online) 31st January Evening Shift
A water heater of power $2000 \mathrm{~W}$ is used to heat water. The specific heat capacity of water is $4200 \mathrm{~J}$ $\mathrm{kg}^{-1} \mathrm{...
JEE Main 2023 (Online) 30th January Evening Shift
A faulty thermometer reads $5^{\circ} \mathrm{C}$ in melting ice and $95^{\circ} \mathrm{C}$ in stream. The correct temperature on absolute scale will...
JEE Main 2023 (Online) 24th January Morning Shift
A hole is drilled in a metal sheet. At $$\mathrm{27^\circ C}$$, the diameter of hole is 5 cm. When the sheet is heated to $$\mathrm{177^\circ C}$$...
JEE Main 2022 (Online) 29th July Morning Shift
The pressure $$\mathrm{P}_{1}$$ and density $$\mathrm{d}_{1}$$ of diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$ changes suddenly to $$\mathrm{P}_{2...
JEE Main 2022 (Online) 29th July Morning Shift
One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is $$\frac{\alpha^...
JEE Main 2022 (Online) 28th July Evening Shift
At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of work when it expands under constant pressure. Th...
JEE Main 2022 (Online) 25th July Evening Shift
A block of ice of mass 120 g at temperature 0$$^\circ$$C is put in 300 g of water at 25$$^\circ$$C. The x g of ice melts as the temperature of the wat...
JEE Main 2022 (Online) 25th July Morning Shift
A unit scale is to be prepared whose length does not change with temperature and remains $$20 \mathrm{~cm}$$, using a bimetallic strip made of brass a...
JEE Main 2022 (Online) 29th June Morning Shift
Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they a...
JEE Main 2022 (Online) 29th June Morning Shift
As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates ar...
JEE Main 2022 (Online) 29th June Morning Shift
300 cal. of heat is given to a heat engine and it rejects 225 cal. If source temperature is 227$$^\circ$$C, then the temperature of sink will be _____...
JEE Main 2022 (Online) 28th June Morning Shift
The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be _____________ J. (Given R = 8.31 J/mol.K)
JEE Main 2022 (Online) 27th June Evening Shift
A diatomic gas ($$\gamma$$ = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is __________ J.
JEE Main 2022 (Online) 27th June Morning Shift
In a carnot engine, the temperature of reservoir is 527$$^\circ$$C and that of sink is 200 K. If the work done by the engine when it transfers heat fr...
JEE Main 2022 (Online) 26th June Evening Shift
A geyser heats water flowing at a rate of 2.0 kg per minute from 30$$^\circ$$C to 70$$^\circ$$C. If geyser operates on a gas burner, the rate of combu...
JEE Main 2022 (Online) 26th June Evening Shift
A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if the heat engine takes 300 J hea...
JEE Main 2022 (Online) 25th June Evening Shift
When a gas filled in a closed vessel is heated by raising the temperature by 1$$^\circ$$C, its pressure increases by 0.4%. The initial temperature of ...
JEE Main 2022 (Online) 25th June Morning Shift
A steam engine intakes 50 g of steam at 100$$^\circ$$C per minute and cools it down to 20$$^\circ$$C. If latent heat of vaporization of steam is 540 c...
JEE Main 2022 (Online) 24th June Evening Shift
A monoatomic gas performs a work of $${Q \over {4}}$$ where Q is the heat supplied to it. The molar heat capacity of the gas will be ______________ R ...
JEE Main 2022 (Online) 24th June Morning Shift
0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127$$^\circ$$C. Th amount of heat required to double the speed of its molecules is __...
JEE Main 2021 (Online) 1st September Evening Shift
The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0$$^\circ$$C without changing the pressure of the gas. The molecules in the ga...
JEE Main 2021 (Online) 1st September Evening Shift
The average translational kinetic energy of N2 gas molecules at .............$$^\circ$$C becomes equal to the K.E. of an electron accelerated from res...
JEE Main 2021 (Online) 31st August Evening Shift
A sample of gas with $$\gamma$$ = 1.5 is taken through an adiabatic process in which the volume is compressed from 1200 cm3 to 300 cm3. If the initial...
JEE Main 2021 (Online) 27th August Evening Shift
A heat engine operates between a cold reservoir at temperature T2 = 400 K and a hot reservoir at temperature T1. It takes 300 J of heat from the hot r...
JEE Main 2021 (Online) 27th August Morning Shift
A rod CD of thermal resistance 10.0 KW$$-$$1 is joined at the middle of an identical rod AB as shown in figure. The end A, B and D are maintained at 2...
JEE Main 2021 (Online) 25th July Evening Shift
A system consists of two types of gas molecules A and B having same number density 2 $$\times$$ 1025/m3. The diameter of A and B are 10 $$\mathop A\li...
JEE Main 2021 (Online) 22th July Evening Shift
The area of cross-section of a railway track is 0.01 m2. The temperature variation is 10$$^\circ$$C. Coefficient of liner expansion of material of tra...
JEE Main 2021 (Online) 20th July Evening Shift
One mole of an ideal gas at 27$$^\circ$$ is taken from A to B as shown in the given PV indicator diagram. The work done by the system will be ________...
JEE Main 2021 (Online) 20th July Morning Shift
In the reported figure, heat energy absorbed by a system in going through a cyclic process is ___________ $$\pi$$J....
JEE Main 2021 (Online) 16th March Evening Shift
For an ideal heat engine, the temperature of the source is 127$$^\circ$$C. In order to have 60% efficiency the temperature of the sink should be _____...
JEE Main 2021 (Online) 26th February Evening Shift
1 mole of rigid diatomic gas performs a work of $${Q \over 5}$$ when heat Q is supplied to it. The molar heat capacity of the gas during this transfor...
JEE Main 2021 (Online) 26th February Evening Shift
The volume V of a given mass of monoatomic gas changes with temperature T according to the relation $$V = K{T^{{2 \over 3}}}$$. The workdone when temp...
JEE Main 2021 (Online) 26th February Morning Shift
A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is 5.5 litre. The first chamber c...
JEE Main 2021 (Online) 25th February Evening Shift
A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by 52K, its efficiency is double...
JEE Main 2021 (Online) 25th February Morning Shift
A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then chan...
JEE Main 2021 (Online) 25th February Morning Shift
In a certain thermodynamical process, the pressure of a gas depends on its volume as kV3. The work done when the temperature changes from 100$$^\circ$...
JEE Main 2021 (Online) 24th February Evening Shift
The root mean square speed of molecules of a given mass of a gas at 27$$^\circ$$C and 1 atmosphere pressure is 200 ms$$-$$1. The root mean square spee...
JEE Main 2020 (Online) 6th September Evening Slot
An engine operates by taking a monoatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to _______...
JEE Main 2020 (Online) 6th September Morning Slot
Initially a gas of diatomic molecules is contained in a cylinder of volume V1 at a pressure P1 and temperature 250 K. Assuming that 25% of the molec...
JEE Main 2020 (Online) 5th September Evening Slot
Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a H2 molecule would be equal to the rms speed of a nitrogen mol...
JEE Main 2020 (Online) 4th September Evening Slot
The change in the magnitude of the volume of an ideal gas when a small additional pressure $$\Delta $$P is applied at a constant temperature, is the s...
JEE Main 2020 (Online) 4th September Morning Slot
A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to it, the final equilibrium temp...
JEE Main 2020 (Online) 3rd September Evening Slot
If minimum possible work is done by a refrigerator in converting 100 grams of water at 0oC to ice, how much heat (in calories) is released to the surr...
JEE Main 2020 (Online) 3rd September Morning Slot
A bakelite beaker has volume capacity of 500 cc at 30oC. When it is partially filled with Vm volume (at 30oC) of mercury, it is found that the unfill...
JEE Main 2020 (Online) 2nd September Morning Slot
An engine takes in 5 moles of air at 20oC and 1 atm, and compresses it adiabatically to 1/10th of the original volume. Assuming air to be a diatomic i...
JEE Main 2020 (Online) 9th January Evening Slot
Starting at temperature 300 K, one mole of an ideal diatomic gas ($$\gamma $$ = 1.4) is first compressed adiabatically from volume V1 to V2 = $${{{V_1...
JEE Main 2020 (Online) 8th January Evening Slot
Three containers C1, C2 and C3 have water at different temperatures. The table below shows the final temperature T when different amounts of water (gi...
JEE Main 2020 (Online) 7th January Evening Slot
M grams of steam at 100oC is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produced liquid water at 40oC [hea...
JEE Main 2020 (Online) 7th January Morning Slot
A non-isotropic solid metal cube has coefficients of linear expansion as : 5 $$ \times $$ 10-5/oC along the x-axis and 5 $$ \times $$ 10-6/oC along th...
JEE Main 2020 (Online) 7th January Morning Slot
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1200 J of work per cycle. The heat energy (in J) ...
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