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Heat and Thermodynamics question

2023 · Shift 1 · Q40
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Heat and Thermodynamics question

2023 · Shift 1 · Q40

JEE AdvancedPhysicsHeat and ThermodynamicsMCQ+3 / −1
One mole of an ideal gas expands adiabatically from an initial state (TA,V0)\left(T_{\mathrm{A}}, V_0\right)(TA​,V0​) to final state (Tf,5V0)\left(T_{\mathrm{f}}, 5 V_0\right)(Tf​,5V0​). Another mole of the same gas expands isothermally from a different initial state (TB,V0)\left(T_{\mathrm{B}}, V_0\right)(TB​,V0​) to the same final state (Tf,5V0)\left(T_{\mathrm{f}}, 5 V_0\right)(Tf​,5V0​). The ratio of the specific heats at constant pressure and constant volume of this ideal gas is γ\gammaγ. What is the ratio TA/TBT_{\mathrm{A}} / T_{\mathrm{B}}TA​/TB​ ?
  1. A
    5γ−15^{\gamma-1}5γ−1
  2. B
    51−γ5^{1-\gamma}51−γ
  3. C
    5γ5^\gamma5γ
  4. D
    51+γ5^{1+\gamma}51+γ
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