Heat and Thermodynamics · Physics · JEE Advanced

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MCQ (Single Correct Answer)

JEE Advanced 2023 Paper 2 Online
An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is $n$. The internal energy of one mole of the...
JEE Advanced 2023 Paper 1 Online
One mole of an ideal gas expands adiabatically from an initial state $\left(T_{\mathrm{A}}, V_0\right)$ to final state $\left(T_{\mathrm{f}}, 5 V_0\ri...
JEE Advanced 2023 Paper 1 Online
Match the temperature of a black body given in List-I with an appropriate statement in List-II, and choose the correct option. [Given: Wien's constant...
JEE Advanced 2022 Paper 1 Online
List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of poss...
JEE Advanced 2021 Paper 2 Online
The value of $${{{T_R}} \over {{T_0}}}$$ is
JEE Advanced 2021 Paper 2 Online
The value of $${Q \over {R{T_0}}}$$ is
JEE Advanced 2021 Paper 1 Online
An ideal gas undergoes a four step cycle as shown in the P-V diagram below. During this cycle, heat is absorbed by the gas in ...
JEE Advanced 2019 Paper 2 Offline
If the process on one mole of monatomic ideal gas is as shown in the TV-diagram with $${P_0}{V_0} = {1 \over 3}R{T_0}$$, the correct match is, ...
JEE Advanced 2019 Paper 2 Offline
If the process carried out on one mole of monoatomic ideal gas is as shown in the PV-diagram with $${p_0}{V_0} = {1 \over 3}R{T_0}$$, the correct matc...
JEE Advanced 2018 Paper 2 Offline
One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $$PV$$-diagram below. Among these four processe...
JEE Advanced 2017 Paper 1 Offline
Which one of the following options is the correct combination?
JEE Advanced 2017 Paper 1 Offline
Which of the following options is the only correct representation of a process in which $$\Delta U = \Delta Q - P\Delta V$$?
JEE Advanced 2017 Paper 1 Offline
Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of soun...
JEE Advanced 2016 Paper 2 Offline
A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi = 105 Pa and volume Vi = 10-3 m3 ch...
JEE Advanced 2016 Paper 2 Offline
The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires has a length of 1 m at 10oC. Now the end P ...
JEE Advanced 2016 Paper 1 Offline
A water cooler of storage capacity 120 litres can cool water at a constant rate of P watts. In a closed circulation system (as shown schematically i...
JEE Advanced 2014 Paper 2 Offline
Parallel rays of light of intensity $$I$$ = 912 Wm–2 are incident on a spherical black body kept in surroundings of temperature 300 K. Take Stefan-Bol...
JEE Advanced 2014 Paper 2 Offline
Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be
JEE Advanced 2014 Paper 2 Offline
Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. Then total work done by...
JEE Advanced 2013 Paper 2 Offline
One mole of a monatomic ideal gas is taken along two cyclic processes E $$\to$$ F $$\to$$ G $$\to$$ E and E $$\to$$ F $$\to$$ H $$\to$$ E as shown in ...
JEE Advanced 2013 Paper 1 Offline
Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel k...
JEE Advanced 2013 Paper 1 Offline
Two rectangular blocks, having identical dimensions, can be arranged in either configuration-I or configuration-II as shown in the figure. One of the ...
IIT-JEE 2012 Paper 2 Offline
Two moles of ideal helium gas are in a rubber balloon at 30oC. The balloon is fully expandable and can be assumed to require no energy in its expansio...
IIT-JEE 2012 Paper 1 Offline
A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of ...
IIT-JEE 2012 Paper 1 Offline
Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal...
IIT-JEE 2011 Paper 1 Offline
5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T1, the work done in the process is...
IIT-JEE 2011 Paper 2 Offline
One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristics involved in the cycle. Match...
IIT-JEE 2010 Paper 1 Offline
A real gas behaves like an ideal gas if its
IIT-JEE 2009 Paper 2 Offline
Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements ...
IIT-JEE 2008 Paper 2 Offline
Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this p...
IIT-JEE 2008 Paper 1 Offline
An ideal gas is expanding such that PT$$^2$$ = constant. The coefficient of volume expansion of the gas is
IIT-JEE 2007 Paper 2 Offline
STATEMENT 1 The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and i...

Numerical

JEE Advanced 2023 Paper 2 Online
One mole of an ideal gas undergoes two different cyclic processes I and II, as shown in the $P-V$ diagrams below. In cycle I, processes $a, b, c$ and ...
JEE Advanced 2023 Paper 2 Online
Considering the air flow to be streamline, the steady mass flow rate of air exiting the chimney is _________ $\mathrm{gm} \mathrm{s}^{-1}$.
JEE Advanced 2023 Paper 2 Online
When the chimney is closed using a cap at the top, a pressure difference $\Delta P$ develops between the top and the bottom surfaces of the cap. If th...
JEE Advanced 2023 Paper 1 Online
A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas $(\gamma=5 / 3)$ and one mole of an ideal diatomic gas $(\gam...
JEE Advanced 2021 Paper 2 Online
A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the fig...
JEE Advanced 2021 Paper 2 Online
A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the fig...
JEE Advanced 2021 Paper 1 Online
A small object is placed at the center of a large evacuated hollow spherical container. Assume that the container is maintained at 0 K. At time t = 0,...
JEE Advanced 2020 Paper 2 Offline
A thermally isolated cylindrical closed vessel of height 8 m is kept vertically. It is divided into two equal parts by a diathermic (perfect thermal c...
JEE Advanced 2020 Paper 2 Offline
A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p0. The bubble now gets compressed radi...
JEE Advanced 2020 Paper 2 Offline
A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average energy per unit time...
JEE Advanced 2020 Paper 1 Offline
Consider one mole of helium gas enclosed in a container at initial pressure P1 and volume V1. It expands isothermally to volume 4V1. After this, the g...
JEE Advanced 2018 Paper 2 Offline
One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperatu...
JEE Advanced 2016 Paper 1 Offline
A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P) by the metal. The sensor has a scale that...
JEE Advanced 2015 Paper 1 Offline
Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 104 times the power emitted from B. The ratio...
JEE Advanced 2014 Paper 1 Offline
A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two different paths iaf and ibf, as...
IIT-JEE 2011 Paper 1 Offline
Steel wire of lenght ‘L’ at 40oC is suspended from the ceiling and then a mass ‘m’ is hung from its free end. The wire is cooled down from 40oC to 30o...
IIT-JEE 2010 Paper 1 Offline
Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T1 and T2, respectively. The maximum intensity in the emission spectrum...
IIT-JEE 2010 Paper 1 Offline
A piece of ice (heat capacity = 2100 J kg-1 oC-1 and latent heat = 3.36 $$ \times $$ 105 J kg-1 ) of mass m grams is at - 5 oC at atmospheric pressure...
IIT-JEE 2010 Paper 2 Offline
A diatomic ideal gas is compressed adiabatically $${1 \over {32}}$$ of its initial volume. If the initial temperature of the gas is Ti (in Kelvin) and...
IIT-JEE 2009 Paper 2 Offline
A metal rod AB of length 10x has its one end A in ice at 0$$^\circ$$C and the other end B in water at 100$$^\circ$$C. If a point P on the rod is maint...

MCQ (More than One Correct Answer)

JEE Advanced 2022 Paper 2 Online
In the given $P-V$ diagram, a monoatomic gas $\left(\gamma=\frac{5}{3}\right)$ is first compressed adiabatically from state $A$ to state $B$. Then it ...
JEE Advanced 2020 Paper 1 Offline
The filament of a light bulb has surface area 64 mm2 . The filament can be considered as a black body at temperature 2500 K emitting radiation like a ...
JEE Advanced 2019 Paper 2 Offline
A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P0, volume V0, and temperature T0...
JEE Advanced 2019 Paper 1 Offline
One mole of a monatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature (V-T) diagram. The correct statement(s...
JEE Advanced 2018 Paper 1 Offline
One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where $$V$$ is the volume and $$T$$ is the temperature). Which of...
JEE Advanced 2015 Paper 2 Offline
An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T...
JEE Advanced 2015 Paper 1 Offline
A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature T. Assuming the gases are ideal...
JEE Advanced 2013 Paper 2 Offline
The figure below shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuou...
IIT-JEE 2010 Paper 1 Offline
One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is P0. Choose the correct optio...
IIT-JEE 2009 Paper 2 Offline
The figure shows the PV plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semicircle and CDA is half of an ellipse. Then, ...
IIT-JEE 2009 Paper 1 Offline
$$C_V$$ and $$C_P$$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then
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