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Thermodynamics

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 14 times: May 2022 S1, 16 May 2023 S1, 9 May 2024 S1, 9 May 2024 S2, 11 May 2024 S1, 12 May 2024 S1, 14 May 2024 S2, 20 Apr 2025 S1, 23 Apr 2025 S1, 25 Apr 2025 S1, 15 Apr 2026 S1, 16 Apr 2026 S1, 19 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 14 of this type

    114
    A rigid diatomic gas (γ=75)\left(\gamma = \dfrac{7}{5}\right) is compressed adiabatically to volume (Vi32)\left(\dfrac{V_i}{32}\right), where ViV_i is the initial volume. The initial temperature of the gas is 'TiT_i' K and the final temperature is 'xTixT_i' K. The value of xx is

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  2. Question 2

    This type asked 13 times: 3 May 2023 S2, 4 May 2023 S1, 9 May 2023 S1, 9 May 2023 S2, 15 May 2023 S1, 16 May 2023 S1, 16 May 2023 S2, 19 Apr 2025 S2, 22 Apr 2025 S1, 22 Apr 2025 S2, 25 Apr 2025 S2, 14 May 2026 S2, 19 May 2026 S2. This one: 19 May 2026 S2 See all 13 of this type

    116
    Heat is supplied to a rigid diatomic gas at constant pressure. The ratio of ΔQ:ΔU:ΔW\Delta Q : \Delta U : \Delta W is {ΔQ\Delta Q = heat supplied, ΔU\Delta U = change in internal energy, ΔW\Delta W = work done during expansion}

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  3. Question 3

    This type asked 9 times: 3 May 2023 S2, 11 May 2023 S1, 21 Apr 2025 S1, 11 Apr 2026 S2, 20 Apr 2026 S1, 12 May 2026 S2, 13 May 2026 S1, 13 May 2026 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 9 of this type

    115
    The temperature of an ideal gas increases 22 times when compressed adiabatically to half the volume. Its equation of state is

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  4. Question 4

    This type asked 9 times: 3 May 2023 S1, 10 May 2023 S1, 11 May 2023 S1, 11 May 2024 S1, 19 Apr 2025 S1, 11 Apr 2026 S1, 16 Apr 2026 S1, 18 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 9 of this type

    117
    An ideal gas having pressure PP, volume VV and temperature TT is expanded isothermally, to a volume 3V3V and final pressure PIP_I. The same gas is expanded adiabatically to a volume 3V3V, the final pressure being PAP_A. The ratio PAPI\dfrac{P_A}{P_I} is (CPCV=γ)\left(\dfrac{C_P}{C_V} = \gamma\right)

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  5. Question 5

    Asked 7 times: May 2021 S1*, 9 May 2023 S2*, 11 May 2024 S2, 26 Apr 2025 S1*, 13 Apr 2026 S1*, 15 Apr 2026 S2*, 19 Apr 2026 S2 (* = numbers or wording changed that year) See all 7 times it was asked

    117
    An ideal gas (γ=1.5)(\gamma = 1.5) is expanded adiabatically. To reduce the root mean square velocity of molecules two times, the gas should be expanded

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  6. Question 6

    Asked 6 times: 3 May 2023 S2, 15 May 2023 S1, 16 May 2023 S2*, 19 Apr 2025 S2*, 22 Apr 2025 S1, 25 Apr 2025 S2 (* = numbers or wording changed that year) See all 6 times it was asked

    21
    A sample of an ideal gas (γ=53)\left( \gamma=\frac{5}{3} \right) is heated at constant pressure. If 100 J of heat is supplied to the gas, the work done by the gas is

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  7. Question 7

    Asked 5 times: 4 May 2023 S1*, 9 May 2023 S1*, 9 May 2023 S2*, 22 Apr 2025 S2*, 14 May 2026 S2 (* = numbers or wording changed that year) See all 5 times it was asked

    114
    If the ratio of molar heat capacities CpCv=γ\dfrac{C_p}{C_v} = \gamma then the ratio of ΔQΔU\dfrac{\Delta Q}{\Delta U} and ΔQΔW\dfrac{\Delta Q}{\Delta W} in an isobaric process is

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  8. Question 8

    Asked 5 times: 3 May 2023 S2*, 11 May 2023 S1*, 21 Apr 2025 S1*, 11 Apr 2026 S2*, 12 May 2026 S2 (* = numbers or wording changed that year) See all 5 times it was asked

    114
    A monoatomic gas undergoes adiabatic change. Its pressure PP and temperature TT are related as P∝TxP \propto T^x where xx is

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  9. Question 9

    Asked 5 times: 15 May 2023 S2*, 21 Apr 2025 S1*, 21 Apr 2025 S2*, 11 Apr 2026 S2*, 17 Apr 2026 S2 (* = numbers or wording changed that year) See all 5 times it was asked

    114
    A carnot engine having efficiency 16\dfrac{1}{6}, operates between the source temperature THT_H and the sink temperature TCT_C. Its efficiency increases to 13\dfrac{1}{3}, when TCT_C is decreased by 64 K. The temperatures THT_H and TCT_C are repectively

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  10. Question 10

    Asked 5 times: 9 May 2024 S1*, 9 May 2024 S2*, 14 May 2024 S2*, 23 Apr 2025 S1*, 15 Apr 2026 S1 (* = numbers or wording changed that year) See all 5 times it was asked

    116
    A monoatomic gas is stored in a thermally insulated container and the gas is suddenly compressed to (18)th\left(\dfrac{1}{8}\right)^{th} of its initial volume. The ratio of final pressure to initial pressure is

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