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JEE Main

Heat and Thermodynamics

Physics

Previous Years Questions

MCQ (Single Correct Answer)

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A gas has $$n$$ degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at ...
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 b...
JEE Main 2022 (Online) 26th July Evening Shift
A monoatomic gas at pressure $$\mathrm{P}$$ and volume $$\mathrm{V}$$ is suddenly compressed to one eighth of its origin...
JEE Main 2022 (Online) 26th July Morning Shift
Let $$\eta_{1}$$ is the efficiency of an engine at $$T_{1}=447^{\circ} \mathrm{C}$$ and $$\mathrm{T}_{2}=147^{\circ} \ma...
JEE Main 2022 (Online) 25th July Evening Shift
Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture ...
JEE Main 2022 (Online) 25th July Evening Shift
Following statements are given : (A) The average kinetic energy of a gas molecule decreases when the temperature is redu...
JEE Main 2022 (Online) 25th July Morning Shift
A certain amount of gas of volume $$\mathrm{V}$$ at $$27^{\circ} \mathrm{C}$$ temperature and pressure $$2 \times 10^{7}...
JEE Main 2022 (Online) 25th July 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 cm...
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. W...
JEE Main 2022 (Online) 30th 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 the...
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 ...
JEE Main 2022 (Online) 24th June Morning 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 tempe...
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. T...
JEE Main 2022 (Online) 24th June Evening Shift
The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecu...
JEE Main 2022 (Online) 25th June Morning 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 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 t...
JEE Main 2022 (Online) 25th 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 t...
JEE Main 2022 (Online) 26th June Evening Shift
A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving...
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 mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of ...
JEE Main 2022 (Online) 27th June Morning Shift
According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0$$^\circ$$C. B. The mean free path ...
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
Given below are two statements : Statement I : When $$\mu$$ amount of an ideal gas undergoes adiabatic change from state...
JEE Main 2022 (Online) 28th June Morning Shift
What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen mo...
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 th...
JEE Main 2022 (Online) 28th June Evening Shift
A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in c...
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 d...
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...
JEE Main 2022 (Online) 29th June Evening Shift
In van der Waal equation $$\left[ {P + {a \over {{V^2}}}} \right]$$ [V $$-$$ b] = RT; P is pressure, V is volume, R is u...
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...
JEE Main 2022 (Online) 29th June Morning 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 m...
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 ...
JEE Main 2021 (Online) 31st August Evening Shift
For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the equation $${{dp} \over {dv}} =...
JEE Main 2021 (Online) 31st August Morning Shift
A reversible engine has an efficiency of $${1 \over 4}$$. If the temperature of the sink is reduced by 58$$^\circ$$C, it...
JEE Main 2021 (Online) 31st August Morning Shift
The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fal...
JEE Main 2021 (Online) 27th August Evening Shift
if the rms speed of oxygen molecules at 0$$^\circ$$C is 160 m/s, find the rms speed of hydrogen molecules at 0$$^\circ$$...
JEE Main 2021 (Online) 27th August Evening Shift
An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is :
JEE Main 2021 (Online) 27th August Morning Shift
A balloon carries a total load of 185 kg at normal pressure and temperature of 27$$^\circ$$C. What load will the balloon...
JEE Main 2021 (Online) 27th August Morning Shift
A refrigerator consumes an average 35W power to operate between temperature $$-$$10$$^\circ$$C to 25$$^\circ$$C. If ther...
JEE Main 2021 (Online) 26th August Evening Shift
A cylindrical container of volume 4.0 $$\times$$ 10$$-$$3 m3 contains one mole of hydrogen and two moles of carbon dioxi...
JEE Main 2021 (Online) 26th August Evening Shift
The temperature of equal masses of three different liquids x, y and z are 10$$^\circ$$C, 20$$^\circ$$C and 30$$^\circ$$C...
JEE Main 2021 (Online) 26th August Evening Shift
The rms speeds of the molecules of Hydrogen, Oxygen and Carbon dioxide at the same temperature are VH, VO and VC respect...
JEE Main 2021 (Online) 26th August Morning Shift
An electric appliance supplies 6000 J/min heat to the system. If the system delivers a power of 90W. How long it would t...
JEE Main 2021 (Online) 26th August Morning Shift
Two Carnot engines A and B operate in series such that engine A absorbs heat at T1 and rejects heat to a sink at tempera...
JEE Main 2021 (Online) 27th July Evening Shift
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27$$^\circ$$ C to 37$$^\...
JEE Main 2021 (Online) 27th July Evening Shift
A body takes 4 min. to cool from 61$$^\circ$$ C to 59$$^\circ$$ C. If the temperature of the surroundings is 30$$^\circ$...
JEE Main 2021 (Online) 27th July Morning Shift
In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the g...
JEE Main 2021 (Online) 27th July Morning Shift
The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $$\t...
JEE Main 2021 (Online) 27th July Morning Shift
Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a ...
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 effici...
JEE Main 2021 (Online) 25th July Evening Shift
Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of...
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...
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 diff...
JEE Main 2021 (Online) 25th July Morning Shift
What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?
JEE Main 2021 (Online) 22th 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 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 entropy of any system is given by $$S = {\alpha ^2}\beta \ln \left[ {{{\mu kR} \over {J{\beta ^2}}} + 3} \right]$$ w...
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$$^\circ$$ ...
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 sq...
JEE Main 2021 (Online) 20th July Morning 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 oth...
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 r...
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 av...
JEE Main 2021 (Online) 18th March Evening Shift
What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temper...
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 ad...
JEE Main 2021 (Online) 18th March Morning Shift
Which one is the correct option for the two different thermodynamic processes?...
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...
JEE Main 2021 (Online) 17th March Evening 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 suppl...
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 therma...
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 ...
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
A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher coefficient of exp...
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 ...
JEE Main 2021 (Online) 16th March Evening 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 diox...
JEE Main 2021 (Online) 16th March Morning Shift
In thermodynamics, heat and work are :
JEE Main 2021 (Online) 16th March Morning 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 Evening Shift
The temperature $$\theta$$ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top...
JEE Main 2021 (Online) 26th February Morning 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 temper...
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...
JEE Main 2021 (Online) 25th February Evening 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 ...
JEE Main 2021 (Online) 25th February Morning Slot
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : When...
JEE Main 2021 (Online) 25th February Morning Slot
On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
JEE Main 2021 (Online) 24th February Evening Slot
If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduce...
JEE Main 2021 (Online) 24th February Evening Slot
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansio...
JEE Main 2021 (Online) 24th February Morning Slot
n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.A $$ \to $$ B...
JEE Main 2021 (Online) 24th February Morning Slot
Match List I with List II. List I List II (a) Isothermal (i) Pressure cons...
JEE Main 2021 (Online) 24th February Morning Slot
Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity K1 , K2 ...
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...
JEE Main 2020 (Online) 6th September Evening Slot
Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom...
JEE Main 2020 (Online) 6th September Morning Slot
In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas...
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 an...
JEE Main 2020 (Online) 5th September Evening 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 ...
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 label...
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 ...
JEE Main 2020 (Online) 5th September Morning Slot
Match the thermodynamic processes taking place in a system with the correct conditions. In the table : $$\Delta $$Q is t...
JEE Main 2020 (Online) 4th 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 ...
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...
JEE Main 2020 (Online) 3rd September Evening Slot
A metallic sphere cools from 50oC to 40o in 300 s. If atmospheric temperature around is 20oC, then the sphere’s temperat...
JEE Main 2020 (Online) 3rd September Evening Slot
Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose...
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 considere...
JEE Main 2020 (Online) 3rd September Morning Slot
An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are...
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 effici...
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...
JEE Main 2020 (Online) 2nd September Evening 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 th...
JEE Main 2020 (Online) 2nd September Morning Slot
Match the $${{{C_P}} \over {{C_V}}}$$ ratio for ideal gases with different type of molecules : .tg {border-collapse:co...
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 a...
JEE Main 2020 (Online) 4th September Morning Slot
Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the s...
JEE Main 2020 (Online) 9th January Evening Slot
Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure ? w...
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. Mo...
JEE Main 2020 (Online) 9th January Morning 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. It...
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 refr...
JEE Main 2020 (Online) 8th January Evening Slot
A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is : (Diagrams are...
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...
JEE Main 2020 (Online) 8th January Morning Slot
Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the ga...
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...
JEE Main 2020 (Online) 7th January Evening 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 ...
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 wit...
JEE Main 2020 (Online) 7th January Morning Slot
One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature averaged) resistanc...
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 ...
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 efficienc...
JEE Main 2019 (Online) 12th April Evening 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 ...
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 ...
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 ene...
JEE Main 2019 (Online) 12th April Morning Slot
When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $$\Delta $...
JEE Main 2019 (Online) 10th April Evening Slot
Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm–2. If the surface has an are...
JEE Main 2019 (Online) 10th April Evening Slot
One mole of ideal gas passes through a process where pressure and volume obey the relation $$P = {P_0}\left[ {1 - {1 \ov...
JEE Main 2019 (Online) 10th April Evening 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, ...
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 ...
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 temperatur...
JEE Main 2019 (Online) 10th April Morning 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, resp...
JEE Main 2019 (Online) 9th April Evening Slot
50 W/m2 energy density of sunlight is normally incident on the surface of a solar panel. Some part of incident energy (2...
JEE Main 2019 (Online) 9th April Evening 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 rm...
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 absorb...
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 gaseo...
JEE Main 2019 (Online) 9th April Morning Slot
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the eart...
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 th...
JEE Main 2019 (Online) 8th April Evening Slot
A thermally insulated vessel contains 150g of water at 0°C. Then the air from the vessel is pumped out adiabatically. A ...
JEE Main 2019 (Online) 8th April Morning Slot
Two identical breakers A and B contain equal volumes of two different liquids at 60°C each and left to cool down. Liquid...
JEE Main 2019 (Online) 8th April Morning Slot
An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive ...
JEE Main 2019 (Online) 12th January Evening Slot
A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductiv...
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
In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K,...
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 i...
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 ...
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 bec...
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...
JEE Main 2019 (Online) 11th January Evening 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 o...
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 volu...
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 ro...
JEE Main 2019 (Online) 11th January Morning Slot
An unknown metal of mass 192 g heated to a temperature of 100oC was immersed into a brass calorimeter of mass 128 g cont...
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 o...
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 clos...
JEE Main 2019 (Online) 10th January Evening Slot
Three Carnot engines operate in series between a heat source at a temperature T1 and a heat sink at temperature T4 (see ...
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...
JEE Main 2019 (Online) 10th January Morning 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 tha...
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 rese...
JEE Main 2019 (Online) 9th January Evening 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 ...
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 sam...
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...
JEE Main 2019 (Online) 9th January Morning Slot
One mole of an ideal monoatomic gas is taken along the path ABCA as show in the PV diagram. The maximum temperature atta...
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 th...
JEE Main 2018 (Online) 16th April Morning 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 ...
JEE Main 2018 (Online) 15th April Evening Slot
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperat...
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 reservo...
JEE Main 2018 (Online) 15th April Morning Slot
The mass of a hydrogen molecule is 3.32 $$\times$$ 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall...
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. Calculat...
JEE Main 2018 (Offline)
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) 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 temperatu...
JEE Main 2017 (Online) 9th April Morning Slot
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (Cp ) and at cons...
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 ...
JEE Main 2017 (Online) 8th April Morning Slot
CP and Cv are specific heats at constant pressure and constant volume respectively. It is observed that CP – Cv = a for ...
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 pressur...
JEE Main 2017 (Offline)
Which of the following shows the correct relationship between the pressure ‘P’ and density $$\rho $$ of an ideal gas at ...
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 ...
JEE Main 2016 (Online) 10th 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 cl...
JEE Main 2016 (Online) 9th April Morning Slot
$$'n'$$ moles of an ideal gas undergoes a process $$A$$ $$ \to $$ $$B$$ as shown in the figure. The maximum temperature ...
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An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $$C$$ remains constant. If du...
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A pendulum clock loses $$12$$ $$s$$ a day if the temperature is $${40^ \circ }C$$ and gains $$4$$ $$s$$ a day if the tem...
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Consider a spherical shell of radius $$R$$ at temperature $$T$$. The black body radiation inside it can be considered as...
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Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average t...
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A solid body of constant heat capacity $$1$$ $$J/{}^ \circ C$$ is being heated by keeping it in contact with reservoirs ...
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There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $${d_1}$$ and $${d_2}$$ are ...
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One mole of a diatomic ideal gas undergoes a cyclic process $$ABC$$ as shown in figure. The process $$BC$$ is adiabatic....
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Three rods of Copper, Brass and Steel are welded together to form a $$Y$$ shaped structure. Area of cross - section of e...
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The pressure that has to be applied to the ends of a steel wire of length $$10$$ $$cm$$ to keep its length constant when...
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If a piece of metal is heated to temperature $$\theta $$ and then allowed to cool in a room which is at temperature $${\...
JEE Main 2013 (Offline)
The above $$p$$-$$v$$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. ...
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A wooden wheel of radius $$R$$ is made of two semicircular part (see figure). The two parts are held together by a ring ...
AIEEE 2012
A liquid in a beaker has temperature $$\theta \left( t \right)$$ at time $$t$$ and $${\theta _0}$$ is temperature of sur...
AIEEE 2012
Helium gas goes through a cycle $$ABCD$$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency ...
AIEEE 2012
A Carnot engine, whose efficiency is $$40\% $$, takes in heat from a source maintained at a temperature of $$500$$ $$K.$...
AIEEE 2012
$$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignoring the slight expansion of the water, the...
AIEEE 2011
Three perfect gases at absolute temperatures $${T_1},\,{T_2}$$ and $${T_3}$$ are mixed. The masses of molecules are $${m...
AIEEE 2011
A thermally insulated vessel contains an ideal gas of molecular mass $$M$$ and ratio of specific heats $$\gamma .$$ It i...
AIEEE 2011
A Carnot engine operating between temperatures $${{T_1}}$$ and $${{T_2}}$$ has efficiency $${1 \over 6}$$. When $${T_2}$...
AIEEE 2011
A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the ...
AIEEE 2010
Two moles of helium gas are taken over the cycle $$ABCD$$, as shown in the $$P$$-$$T$$ diagram. The net work done on t...
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 g...
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...
AIEEE 2009
A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperat...
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 $$4kg/{m^3}$$. ...
AIEEE 2009
Statement - 1: The temperature dependence of resistance is usually given as $$R = {R_0}\left( {1 + \alpha \,\Delta t} \r...
AIEEE 2009
An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $${...
AIEEE 2008
The speed of sound in oxygen $$\left( {{O_2}} \right)$$ at a certain temperature is $$460\,\,m{s^{ - 1}}.$$ The speed of...
AIEEE 2008
One end of a thermally insulated rod is kept at a temperature $${T_1}$$ and the other at $${T_2}$$. The rod is composed ...
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 $$W=20$$ $$...
AIEEE 2007
If $${C_p}$$ and $${C_v}$$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume ...
AIEEE 2007
A Carnot engine, having an efficiency of $$\eta = 1/10$$ as heat engine, is used as a refrigerator . If the work done o...
AIEEE 2007
Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperatu...
AIEEE 2006
Assuming the Sun to be a spherical body of radius $$R$$ at a temperature of $$TK$$, evaluate the total radiant powered i...
AIEEE 2006
The work of $$146$$ $$kJ$$ is performed in order to compress one kilo mole of gas adiabatically and in this process the ...
AIEEE 2006
The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is ...
AIEEE 2005
The figure shows a system of two concentric spheres of radii $${r_1}$$ and $${r_2}$$ are kept at temperatures $${T_1}$$ ...
AIEEE 2005
A system goes from $$A$$ to $$B$$ via two processes $$I$$ and $$II$$ as shown in figure. If $$\Delta {U_1}$$ and $$\Delt...
AIEEE 2005
A gaseous mixture consists of $$16$$ $$g$$ of helium and $$16$$ $$g$$ of oxygen. The ratio $${{Cp} \over {{C_v}}}$$ of t...
AIEEE 2005
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of therma...
AIEEE 2004
Which of the following statements is correct for any thermodynamic system ?
AIEEE 2004
Two thermally insulated vessels $$1$$ and $$2$$ are filled with air at temperatures $$\left( {{T_1},{T_2}} \right),$$ vo...
AIEEE 2004
One mole of ideal monatomic gas $$\left( {\gamma = 5/3} \right)$$ is mixed with one mole of diatomic gas $$\left( {\gam...
AIEEE 2004
If the temperature of the sun were to increase from $$T$$ to $$2T$$ and its radius from $$R$$ to $$2R$$, then the ratio ...
AIEEE 2004
The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by
AIEEE 2003
According to Newton's law of cooling, the rate of cooling of a body is proportional to $${\left( {\Delta \theta } \right...
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...
AIEEE 2003
Which of the following parameters does not characterize the thermodynamic state of mattter?
AIEEE 2003
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. ...
AIEEE 2003
''Heat cannot by itself flow from a body at lower temperature to a body at higher temperature'' is a statement or conseq...
AIEEE 2003
Two spheres of the same material have radii $$1$$ $$m$$ and $$4$$ $$m$$ and temperatures $$4000$$ $$K$$ and $$2000$$ $$K...
AIEEE 2002
1 mole of a gas with $$\gamma = 7/5$$ is mixed with $$1$$ mole of a gas with $$\gamma = 5/3,$$ then the value of $$\ga...
AIEEE 2002
At what temperature is the $$r.m.s$$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $${47^ \circ...
AIEEE 2002
Even Carnot engine cannot give $$100\% $$ efficiency because we cannot
AIEEE 2002
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
AIEEE 2002
If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should
AIEEE 2002
Which of the following is more close to a black body?
AIEEE 2002
Heat given to a body which raises its temperature by $${1^ \circ }C$$ is
AIEEE 2002
Infrared radiation is detected by
AIEEE 2002
Which statement is incorrect?
AIEEE 2002

Numerical

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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 ...
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When a gas filled in a closed vessel is heated by raising the temperature by 1$$^\circ$$C, its pressure increases by 0.4...
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A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if th...
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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 en...
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The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be _____________ J. (Given R = ...
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300 cal. of heat is given to a heat engine and it rejects 225 cal. If source temperature is 227$$^\circ$$C, then the tem...
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A sample of gas with $$\gamma$$ = 1.5 is taken through an adiabatic process in which the volume is compressed from 1200 ...
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A heat engine operates between a cold reservoir at temperature T2 = 400 K and a hot reservoir at temperature T1. It take...
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A system consists of two types of gas molecules A and B having same number density 2 $$\times$$ 1025/m3. The diameter of...
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MCQ (More than One Correct Answer)

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Which of the following is incorrect regarding the first law of thermodynamics?
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