iCON Education - Heat and Thermodynamics JEE Advanced Test

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Student

Exam Name

JEE Advanced

Test Name

Heat and Thermodynamics

Subject

Physics

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Question 1: Palette 1/52

JEE Advanced 2026 MSQ

Ten moles of an ideal monoatomic gas, initially in state $\boldsymbol{a}$ at atmospheric pressure and temperature $T_a=27^{\circ} \mathrm{C}$, is enclosed in a metal cylinder of volume $V_0$ fitted with a frictionless piston. The gas is suddenly compressed to state $\boldsymbol{b}$ with volume $V_0 / 3$. Now, keeping the piston stationary, the cylinder is submerged in a water bath of temperature $11^{\circ} \mathrm{C}$ until the gas reaches the temperature of the water bath, which is denoted as state $\boldsymbol{c}$. Finally, while still in the water bath, the piston is brought slowly to its initial position, which is denoted as state $\boldsymbol{f}$. If $R$ is universal gas constant, then the correct option(s) is/are :

[Given: $9^{1 / 3}=2.08$ ]

The schematic P-V diagram of the processes described above is :

JEE Advanced 2026 Paper 2 Online Physics - Heat and Thermodynamics Question 1 English Option 1

The change in internal energy in going from state a to b is $4860R$.

The net change in the internal energy in the whole process is $-240R$.

The pressure and temperature of the state b are $2.08$ times the atmospheric pressure and $624\,K$, respectively.

Question 2: Palette 2/52

JEE Advanced 2026 MSQ

A quasi-static cycle of a monoatomic ideal gas contains an isothermal process $(ab)$, followed by an isochoric process $(bc)$ and an adiabatic process $(ca)$ as shown in the figure. The volumes of the gas are $V_1$ and $V_2$ at $a$ and $b$, respectively. If the cycle has heat input $Q_{\mathrm{in}}$ and output $Q_{\mathrm{out}}$, then the efficiency of the cycle is defined as $\eta = \frac{Q_{\mathrm{in}} - Q_{\mathrm{out}}}{Q_{\mathrm{in}}}.$ The correct statement(s) is/are:

[Given: $\ln 2 \approx 0.7$]

JEE Advanced 2026 Paper 1 Online Physics - Heat and Thermodynamics Question 4 English

If $\dfrac{V_2}{V_1} = 8$, the heat released in the process bc is smaller than the heat absorbed in the process ab.

For a given value of $V_2/V_1$, $\eta$ does not depend on the temperature of the isothermal process.

If $V_2/V_1 = 8$, then the temperature of the gas at a is $4$ times the temperature of the gas at c.

If $V_2/V_1 = 8$, then the pressure of the gas at a is $4$ times the pressure of the gas at b.

Question 3: Palette 3/52

JEE Advanced 2025 MSQ

The efficiency of a Carnot engine operating with a hot reservoir kept at a temperature of 1000 K is 0.4 . It extracts 150 J of heat per cycle from the hot reservoir. The work extracted from this engine is being fully used to run a heat pump which has a coefficient of performance 10 . The hot reservoir of the heat pump is at a temperature of 300 K . Which of the following statements is/are correct :

Work extracted from the Carnot engine in one cycle is 60 J.

Temperature of the cold reservoir of the Carnot engine is 600 K.

Temperature of the cold reservoir of the heat pump is 270 K.

Heat supplied to the hot reservoir of the heat pump in one cycle is 540 J.

Question 4: Palette 4/52

JEE Advanced 2024 MCQ

One mole of a monatomic ideal gas undergoes the cyclic process $\mathrm{J} \rightarrow \mathrm{K} \rightarrow \mathrm{L} \rightarrow \mathrm{M} \rightarrow \mathrm{J}$, as shown in the P-T diagram.

JEE Advanced 2024 Paper 1 Online Physics - Heat and Thermodynamics Question 13 English

Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

[ $\mathcal{R}$ is the gas constant.]

List-I	List-II
(P) Work done in the complete cyclic process	(1) $RT_0 - 4RT_0 \ln 2$
(Q) Change in the internal energy of the gas in the process JK	(2) $0$
(R) Heat given to the gas in the process KL	(3) $3RT_0$
(S) Change in the internal energy of the gas in the process MJ	(4) $-2RT_0 \ln 2$
	(5) $-3RT_0 \ln 2$

$\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 4$

$\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 2$

$\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 2$

$\mathrm{P} \rightarrow 2 ; \mathrm{Q} \rightarrow 5 ; \mathrm{R} \rightarrow 3 ; \mathrm{S} \rightarrow 4$

Question 5: Palette 5/52

JEE Advanced 2023 MCQ

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 gas is $U_n$ and the speed of sound in the gas is $\mathrm{v}_n$. At a fixed temperature and pressure, which of the following is the correct option?

$v_3 < v_6$ and $U_3 > U_6$

$v_5 > v_3$ and $U_3 > U_5$

$v_5 > v_7$ and $U_5 < U_7$

$v_6 < v_7$ and $U_6 < U_7$

Question 6: Palette 6/52

JEE Advanced 2023 MCQ

One mole of an ideal gas expands adiabatically from an initial state $\left(T_{\mathrm{A}}, V_0\right)$ to final state $\left(T_{\mathrm{f}}, 5 V_0\right)$. Another mole of the same gas expands isothermally from a different initial state $\left(T_{\mathrm{B}}, V_0\right)$ to the same final state $\left(T_{\mathrm{f}}, 5 V_0\right)$. The ratio of the specific heats at constant pressure and constant volume of this ideal gas is $\gamma$. What is the ratio $T_{\mathrm{A}} / T_{\mathrm{B}}$ ?

$5^{\gamma-1}$

$5^{1-\gamma}$

$5^\gamma$

$5^{1+\gamma}$

Question 7: Palette 7/52

JEE Advanced 2023 MCQ

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 as $2.9 \times 10^{-3} \mathrm{~m}-\mathrm{K}$ and $\frac{h c}{e}=1.24 \times 10^{-6} \mathrm{~V}-\mathrm{m}$ ]

List - I	List - II
(P) $2000 \mathrm{~K}$	(1) The radiation at peak wavelength can lead to emission of photoelectrons from a metal of work function $4 \mathrm{eV}$.
(Q) $3000 \mathrm{~K}$	(2) The radiation at peak wavelength is visible to human eye.
(R) $5000 \mathrm{~K}$	(3) The radiation at peak emission wavelength will result in the widest central maximum of a single slit diffraction.
(S) $10000 \mathrm{~K}$	(4) The power emitted per unit area is $1 / 16$ of that emitted by a blackbody at temperature $6000 \mathrm{~K}$.
	(5) The radiation at peak emission wavelength can be used to image human bones.

$P \rightarrow 3, Q \rightarrow 5, R \rightarrow 2, S \rightarrow 3$

$P \rightarrow 3, Q \rightarrow 2, R \rightarrow 4, S \rightarrow 1$

$P \rightarrow 3, Q \rightarrow 4, R \rightarrow 2, S \rightarrow 1$

$P \rightarrow 1, Q \rightarrow 2, R \rightarrow 5, S \rightarrow 3$

Question 8: Palette 8/52

JEE Advanced 2022 MSQ

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 expands isothermally from state $B$ to state $C$. [Given: $\left(\frac{1}{3}\right)^{0.6} \simeq 0.5, \ln 2 \simeq 0.7$ ].

JEE Advanced 2022 Paper 2 Online Physics - Heat and Thermodynamics Question 32 English

Which of the following statement(s) is(are) correct?

The magnitude of the total work done in the process $A \rightarrow B \rightarrow C$ is $144 \mathrm{~kJ}$.

The magnitude of the work done in the process $B \rightarrow C$ is $84 \mathrm{~kJ}$.

The magnitude of the work done in the process $A \rightarrow B$ is $60 \mathrm{~kJ}$.

The magnitude of the work done in the process $C \rightarrow A$ is zero.

Question 9: Palette 9/52

JEE Advanced 2022 MCQ

List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process.

List-I	List-II
(I) $10^{-3} \mathrm{~kg}$ of water at $100^{\circ} \mathrm{C}$ is converted to steam at the same temperature, at a pressure of $10^{5} \mathrm{~Pa}$. The volume of the system changes from $10^{-6} \mathrm{~m}^{3}$ to $10^{-3} \mathrm{~m}^{3}$ in the process. Latent heat of water $=2250\, \mathrm{~kJ} / \mathrm{kg}$.	(P) $2 \mathrm{~kJ}$
(II) $0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500 \mathrm{~K}$ undergoes an isobaric expansion to volume $3 \mathrm{~V}$. Assume $R=8.0 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$.	(Q) $7 k J$
(III) One mole of a monatomic ideal gas is compressed adiabatically from volume $V=\frac{1}{3} \mathrm{~m}^{3}$ and pressure $2 \mathrm{kPa}$ to volume $\frac{V}{8}$.	(R) $4 \mathrm{~kJ}$
(IV) Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 \mathrm{~kJ}$ of heat and undergoes isobaric expansion.	(S) $5 \mathrm{~kJ}$
	(T) $3 \mathrm{~kJ}$

Which one of the following options is correct?

I $\rightarrow$ T, II $\rightarrow$ R, III $\rightarrow$ S, IV $\rightarrow$ Q

I $\rightarrow$ S, II $\rightarrow$ P, III $\rightarrow$ T, IV $\rightarrow$ P

I $\rightarrow$ P, II $\rightarrow$ R, III $\rightarrow$ T, IV $\rightarrow$ Q

I $\rightarrow$ Q, II $\rightarrow$ R, III $\rightarrow$ S, IV $\rightarrow$ T

Question 11: Palette 11/52

JEE Advanced 2021 MCQ

The value of ${Q \over {R{T_0}}}$ is

$4(2\sqrt 2 + 1)$

$4(2\sqrt 2 - 1)$

$(5\sqrt 2 + 1)$

$(5\sqrt 2 - 1)$

Question 12: Palette 12/52

JEE Advanced 2021 MCQ

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 2021 Paper 1 Online Physics - Heat and Thermodynamics Question 47 English

JEE Advanced 2021 Paper 1 Online Physics - Heat and Thermodynamics Question 47 English

steps 1 and 2

steps 1 and 3

steps 1 and 4

steps 2 and 4

Question 13: Palette 13/52

JEE Advanced 2020 MSQ

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 point source when viewed from far. At night the light bulb is observed from a distance of 100 m. Assume the pupil of the eyes of the observer to be circular with radius 3 mm. Then

(Take Stefan-Boltzmann constant = 5.67 $ \times $ 10⁻⁸ Wm⁻²K⁻⁴ , Wien’s displacement constant = 2.90 $ \times $ 10⁻³ m-K, Planck’s constant = 6.63 $ \times $ 10⁻³⁴ Js, speed of light in vacuum = 3.00 $ \times $ 10⁸ ms⁻¹)

power radiated by the filament is in the range 642 W to 645 W

radiated power entering into one eye of the observer is
in the range 3.15 $ \times $ 10⁻⁸ W to 3.25 $ \times $ 10⁻⁸ W

the wavelength corresponding to the maximum intensity of light is 1160 nm

taking the average wavelength of emitted radiation to be 1740 nm, the total number of photons entering per second into one eye of the observer is in the range 2.75 $ \times $ 10¹¹ to 2.85 $ \times $ 10¹¹

Question 16: Palette 16/52

JEE Advanced 2019 MCQ

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 Physics - Heat and Thermodynamics Question 53 English

JEE Advanced 2019 Paper 2 Offline Physics - Heat and Thermodynamics Question 53 English

I $ \to $ P, II $ \to $ R, III $ \to $ T, IV $ \to $ S

I $ \to $ P, II $ \to $ T, III $ \to $ Q, IV $ \to $ T

I $ \to $ S, II $ \to $ T, III $ \to $ Q, IV $ \to $ U

I $ \to $ P, II $ \to $ R, III $ \to $ T, IV $ \to $ P

Question 17: Palette 17/52

JEE Advanced 2019 MCQ

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 match is,

JEE Advanced 2019 Paper 2 Offline Physics - Heat and Thermodynamics Question 54 English

JEE Advanced 2019 Paper 2 Offline Physics - Heat and Thermodynamics Question 54 English

I$ \to $S, II $ \to $ R, III $ \to $ Q, IV $ \to $ T

I $ \to $ Q, II $ \to $ R, III $ \to $ P, IV $ \to $ U

I $ \to $ Q, II $ \to $ S, III $ \to $ R, IV $ \to $ U

I $ \to $ Q, II $ \to $ R, III $ \to $ S, IV $ \to $ U

Question 18: Palette 18/52

JEE Advanced 2018 MSQ

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 the statements below is (are) true?

JEE Advanced 2018 Paper 1 Offline Physics - Heat and Thermodynamics Question 65 English

JEE Advanced 2018 Paper 1 Offline Physics - Heat and Thermodynamics Question 65 English

Process ${\rm I}$ is an isochoric process

In process ${\rm II}$, gas absorbs heat

In process ${\rm IV}$, gas releases heat

Process ${\rm I}$ and ${\rm III}$ are not isobaric

Question 19: Palette 19/52

JEE Advanced 2018 MCQ

One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $PV$-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-I with the corresponding statements in List-II.

JEE Advanced 2018 Paper 2 Offline Physics - Heat and Thermodynamics Question 63 English

JEE Advanced 2018 Paper 2 Offline Physics - Heat and Thermodynamics Question 63 English

LIST - I		LIST - II
P.	In process I	1.	Work done by the gas is zero
Q.	In process II	2.	Temperature of the gas remains unchanged
R.	In process III	3.	No heat is exchanged between the gas and its surroundings
S.	In process IV	4.	Work done by the gas is 6P0V0

$P \to 4;Q \to 3;R \to 1;S \to 2$

$P \to 1;Q \to 3;R \to 2;S \to 4$

$P \to 3;Q \to 4;R \to 1;S \to 2$

$P \to 3;Q \to 4;R \to 2;S \to $

Question 23: Palette 23/52

JEE Advanced 2016 MCQ

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 10^oC. Now the end P is maintained at 10^oC, while the end S is heated and maintained at 400^oC. The system is thermally insulated from its surroundings. If the thermal conductivity of wire PQ is twice that of the wire RS and the coefficient of linear thermal expansion of PQ is 1.2 $ \times $ 10^-5 K^-1 , the change in length of the wire PQ is

0.78 mm

0.90 mm

1.56 mm

2.34 mm

Question 25: Palette 25/52

JEE Advanced 2016 MCQ

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 in the figure), the water from the cooler is used to cool an external device that generates constantly 3 kW of heat (thermal load).
The temperature of water fed into the device cannot exceed 30°C and the entire stored 120 litres of water is initially cooled to 10°C. The entire system is thermally insulated. The minimum value of P (in watts) for which the device can be operated for 3 hours is : JEE Advanced 2016 Paper 1 Offline Physics - Heat and Thermodynamics Question 52 English

JEE Advanced 2016 Paper 1 Offline Physics - Heat and Thermodynamics Question 52 English

(Specific heat of water is 4.2 kJ kg⁻¹ K⁻¹ and the density of water is 1000 kg m⁻³)

1600

2067

2533

3933

Question 26: Palette 26/52

JEE Advanced 2015 MSQ

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 T₁, pressure P₁ and volume V₁ and the spring is in its relaxed state. The gas is then heated very slowly to temperature T₂, pressure P₂ and volume V₂. During this process the piston moves out by a distance x.

Ignoring the friction between the piston and the cylinder, the correct statements is/are

JEE Advanced 2015 Paper 2 Offline Physics - Heat and Thermodynamics Question 49 English

JEE Advanced 2015 Paper 2 Offline Physics - Heat and Thermodynamics Question 49 English

If V₂ = 2V₁ and T₂ = 3T_l, then the energy stored in the spring is ${1 \over 4}{P_1}{V_1}$

If V₂ = 2V₁ and T₂ = 3T₁, then the change in internal energy is $3{P_1}{V_1}$

If V₂ = 3V₁ and T₂ = 4T₁, then the work done by the gas is ${7 \over 3}{P_1}{V_1}$

If V₂ = 3V₁ and T₂ = 4T₁, then the heat supplied to the gas is ${17 \over 6}{P_1}{V_1}$

Question 28: Palette 28/52

JEE Advanced 2014 MCQ

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-Boltzmann constant $\sigma $ = 5.7 $ \times $ 10^–8 Wm^–2K^–4 and assume that the energy exchange with the surroundings is only through radiation. The final steady state temperature of the black body is close to

330 K

660 K

990 K

1550 K

Question 29: Palette 29/52

JEE Advanced 2014 MCQ

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

550 K

525 K

513 K

490 K

Question 30: Palette 30/52

JEE Advanced 2014 MCQ

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 the gases till the time they achieve equilibrium will be

250 R

200 R

100 R

$-$100 R

Question 31: Palette 31/52

JEE Advanced 2013 MSQ

The figure below shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following statement(s) is(are) correct to a reasonable approximation.

JEE Advanced 2013 Paper 2 Offline Physics - Heat and Thermodynamics Question 38 English

The rate at which heat is absorbed in the range 0-100 K varies linearly with temperature T.

Heat absorbed in increasing the temperature from 0-100 K is less than the heat required for increasing the temperature from 400-500 K.

There is no change in the rate of heat absorption in the range 400-500 K.

The rate of heat absorption increases in the range 200-300 K.

Question 32: Palette 32/52

JEE Advanced 2013 MCQ

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 the PV diagram. The processes involved are purely isochoric, isobaric, isothermal or adiabatic.

JEE Advanced 2013 Paper 2 Offline Physics - Heat and Thermodynamics Question 39 English

Match the paths in List I with the magnitudes of the work done in List II and select the correct answer using the codes given below the lists :

	List I		List II
P.	$G \to E$	1.	160${P_0}{V_0}$ln2
Q.	$G \to H$	2.	36${P_0}{V_0}$
R.	$F \to H$	3.	24${P_0}{V_0}$
S.	$F \to G$	4.	31${P_0}{V_0}$

P-4, Q-3, R-2, S-1

P-4, Q-3, R-1, S-2

P-3, Q-1, R-2, S-4

P-1, Q-3, R-2, S-4

Question 33: Palette 33/52

JEE Advanced 2013 MCQ

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 kept at a constant temperature, is 4 : 3. The ratio of their densities is

1 : 4

1 : 2

6 : 9

8 : 9

Question 34: Palette 34/52

JEE Advanced 2013 MCQ

Two rectangular blocks, having identical dimensions, can be arranged in either configuration-I or configuration-II as shown in the figure. One of the blocks has thermal conductivity $\kappa $ and the other 2$\kappa $. The temperature difference between the ends along the x-axis is the same in both the configurations. It takes 9 s to transport a certain amount of heat from the hot end to the cold end in configuration-I. The time to transport the same amount of heat in configuration-II is

JEE Advanced 2013 Paper 1 Offline Physics - Heat and Thermodynamics Question 37 English

2.0 s

3.0 s

4.5 s

6.0 s

Question 35: Palette 35/52

JEE Advanced 2012 MCQ

Two moles of ideal helium gas are in a rubber balloon at 30^oC. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35^oC. The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol.K)

62 J

104 J

124 J

208 J

Question 38: Palette 38/52

JEE Advanced 2011 MCQ

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

${9 \over 8}R{T_1}$

${3 \over 2}R{T_1}$

${15 \over 8}R{T_1}$

${9 \over 2}R{T_1}$

Question 39: Palette 39/52

JEE Advanced 2011 MCQ

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 them with each of the processes given in Column I.

IIT-JEE 2011 Paper 2 Offline Physics - Heat and Thermodynamics Question 35 English

	Column I		Column II
(A)	Process A$ \to $ B	(P)	Internal energy decreases.
(B)	Process B$ \to $C	(Q)	Internal energy increase.
(C)	Process C$ \to $D	(R)	Heat is lost.
(D)	Process D$ \to $A	(S)	Heat is gained.
		(T)	Work is done on the gas.

(A)$\to$(P), (R), (T); (B)$\to$(P), R; (C)$\to$(Q), (S); (D)$\to$(R), (T)

(A)$\to$(P), (T); (B)$\to$(P), (R); (C)$\to$(Q), (S); (D)$\to$(R)

(A)$\to$(R), (T); (B)$\to$(P), (R); (C)$\to$(S); (D)$\to$(R), (T)

(A)$\to$(P), (R), (T); (B)$\to$(P), (R); (C)$\to$(Q); (D)$\to$(R), (T)

Question 40: Palette 40/52

JEE Advanced 2010 MSQ

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 option(s) from the following:

IIT-JEE 2010 Paper 1 Offline Physics - Heat and Thermodynamics Question 34 English

Internal energies at A and B are the same.

Work done by the gas in process AB is P₀V₀ ln4.

Pressure at C is P₀/4.

Temperature at C is T₀/4.

Question 41: Palette 41/52

JEE Advanced 2010 MCQ

A real gas behaves like an ideal gas if its

pressure and temperature are both high

pressure and temperature are both low

pressure is high and temperature is low

pressure is low and temperature is high

Question 42: Palette 42/52

JEE Advanced 2009 MSQ

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 2 Offline Physics - Heat and Thermodynamics Question 30 English

the process during the path A $\to$ B is isothermal.

heat flows out of the gas during the path B $\to$ C $\to$ D.

work done during the path A $\to$ B $\to$ C is zero.

positive work is done by the gas in the cycle ABCDA.

Question 43: Palette 43/52

JEE Advanced 2009 MSQ

$C_V$ and $C_P$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

$C_P-C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.

$C_P+C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.

$C_P/C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.

$C_P~.C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.

Question 44: Palette 44/52

JEE Advanced 2009 MCQ

Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II:

	Column I		Column II
(A)	The energy of the system is increased.	(P)	System : A capacitor, initially uncharged. Process : It is connected to a battery.
(B)	Mechanical energy is provided to the system, which is converted into energy of random motion of its parts.	(Q)	System : A gas in an adiabatic container filled with an adiabatic piston. Process : The gas is compressed by pushing the piston.
(C)	Internal energy of the system is converted into its mechanical energy.	(R)	System : A gas in a rigid container. Process : The gas gets cooled due to colder atmosphere surrounding it.
(D)	Mass of the system is decreased.	(S)	System : A heavy nucleus, initially at rest. Process : The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted.
		(T)	System : A resistive wire loop. Process : The loop is placed in a time varying magnetic field perpendicular to its plane.

(A)$\to$(P), (S), (T); (B)$\to$(Q); (C)$\to$(S); (D)$\to$(S), (R)

(A)$\to$(P), (Q), (T); (B)$\to$(Q); (C)$\to$(S); (D)$\to$(S)

(A)$\to$(P), (Q), (T); (B)$\to$(T); (C)$\to$(S); (D)$\to$(S)

(A)$\to$(S), (Q), (T); (B)$\to$(Q); (C)$\to$(S); (D)$\to$(S)

Question 45: Palette 45/52

JEE Advanced 2008 MCQ

Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS.

	Column I		Column II
(A)	An insulated container has two chambers separated by a valve. Chamber I contains an ideal gas and the Chamber II has vacuum. The valve is opened.	(P)	The temperature of the gas decreases
(B)	An ideal monatomic gas expands to twice its original volume such that its pressure P $\propto$ $\frac{1}{\mathrm{V}^2}$, where V is the volume of the gas	(Q)	The temperature of the gas increase or remains constant.
(C)	An ideal monoatomic gas expands to twice its original volume such that its pressure P $\propto$ $\frac{1}{\mathrm{V}^{4/3}}$, where V is its volume	(R)	The gas loses heat
(D)	An ideal monoatomic gas expands such that its pressure P and volume V follows the behaviour shown in the graph	(S)	The gas gains heat

A $\to$ (P); B $\to$ (P, Q); C $\to$ (R, S); D $\to$ (P, R)

A $\to$ (P); B $\to$ (R, S); C $\to$ (P, Q); D $\to$ (Q, S)

A $\to$ (Q); B $\to$ (R, S); C $\to$ (P, S); D $\to$ (P, R)

A $\to$ (Q); B $\to$ (P, Q); C $\to$ (P, S); D $\to$ (Q, S)

Question 46: Palette 46/52

JEE Advanced 2008 MCQ

An ideal gas is expanding such that PT$^2$ = constant. The coefficient of volume expansion of the gas is

$\frac{1}{\mathrm{T}}$

$\frac{2}{\mathrm{T}}$

$\frac{3}{\mathrm{T}}$

$\frac{4}{\mathrm{T}}$

Question 47: Palette 47/52

JEE Advanced 2007 MCQ

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 its volume.

Because

STATEMENT 2

The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct for Statement-1.

Statement-1 is True, Statement-2 is False.

Statement-1 is False, Statement-2 is True.

Question 49: Palette 49/52

JEE Advanced 2007 MCQ

The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is $\rho$. In equilibrium, the height H of the water column in the cylinder satisfies

IIT-JEE 2007 Paper 1 Offline Physics - Heat and Thermodynamics Question 26 English

$\rho g{({L_0} - H)^2} + {P_0}({L_0} - H) + {L_0}{P_0} = 0$

$\rho g{({L_0} - H)^2} - {P_0}({L_0} - H) - {L_0}{P_0} = 0$

$\rho g{({L_0} - H)^2} + {P_0}({L_0} - H) - {L_0}{P_0} = 0$

$\rho g{({L_0} - H)^2} - {P_0}({L_0} - H) + {L_0}{P_0} = 0$

Question 50: Palette 50/52

JEE Advanced 2006 MSQ

In a dark room with ambient temperature $\mathrm{T}_0$, a black body is kept at a temperature T . Keeping the temperature of the black body constant (at T), sunrays are allowed to fall on the black body through a hole in the roof of the dark room. Assuming that there is no change in the ambient temperature of the room, which of the following statement(s) is/are correct?

The quantity of radiation absorbed by the black body in unit time will increase.

Since emissivity $=$ absorptivity, hence the quantity of radiation emitted by black body in unit time will increase.

Black body radiates more energy in unit time in the visible spectrum.

The reflected energy in unit time by the black body remains the same.

Question 51: Palette 51/52

JEE Advanced 2006 MCQ

Heat given to the processes is positive. Match Column I with Column II:

IIT-JEE 2006 Physics - Heat and Thermodynamics Question 5 English

Column I		Column II
(A)	JK	(P)	$ \Delta W>0 $
(B)	KL	(Q)	$ \Delta \mathrm{Q}<0 $
(C)	LM	(R)	$ \Delta \mathrm{W}<0 $
(D)	MJ	(S)	$ \Delta Q>0 $

$ [\mathrm{A} \rightarrow(\mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{~S}) ; \mathrm{C} \rightarrow(\mathrm{Q}) ; \mathrm{D} \rightarrow( \mathrm{R})]$

$ [\mathrm{A} \rightarrow(\mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{P}) ; \mathrm{C} \rightarrow(\mathrm{~S}) ; \mathrm{D} \rightarrow(\mathrm{Q})]$

$ [\mathrm{A} \rightarrow(\mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{P}, \mathrm{~S}) ; \mathrm{C} \rightarrow(\mathrm{~S}) ; \mathrm{D} \rightarrow(\mathrm{Q}, \mathrm{R})] $

$ [\mathrm{A} \rightarrow(\mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{S}) ; \mathrm{C} \rightarrow(\mathrm{S}) ; \mathrm{D} \rightarrow( \mathrm{R})]$

Question 52: Palette 52/52

JEE Advanced 2005 MCQ

A cylinder of mass $1 \mathrm{~kg}$ is given heat of $20000 \mathrm{~J}$ at atmospheric pressure. If initially temperature of cylinder is $20^{\circ} \mathrm{C}$, find

(A) The final temperature of the cylinder;

(B) The work done by the cylinder;

Given :

The specific heat of cylinder

$=400 \mathrm{~J} \mathrm{~kg}^{-1 \circ} \mathrm{C}^{-1}$

Coefficient of volume expansion

$=9 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1} \text {; }$

Atmospheric pressure $=10^{5} \mathrm{~N} / \mathrm{m}^{2}$ Density of cylinder $=9000 \mathrm{~kg} / \mathrm{m}^{3}$ )

$(\mathrm{A}) 70^{\circ} \mathrm{C}$, (B) $0.05 \mathrm{~J}$ (C) $\Delta \mathrm{U}=1.9 \times 10^{4} \mathrm{~J}$

$(\mathrm{A}) 70^{\circ} \mathrm{C}$, (B) $0.05 \mathrm{~J}$ (C) $\Delta \mathrm{U}=2.9 \times 10^{4} \mathrm{~J}$

$(\mathrm{A}) 60^{\circ} \mathrm{C}$, (B) $0.05 \mathrm{~J}$ (C) $\Delta \mathrm{U}=1.9 \times 10^{4} \mathrm{~J}$

$(\mathrm{A}) 70^{\circ} \mathrm{C}$, (B) $0.07 \mathrm{~J}$ (C) $\Delta \mathrm{U}=1.9 \times 10^{4} \mathrm{~J}$

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