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← JEE Main 2022 · 29 Jul · Shift 1
PhysicsInteger+4 / -1Question 53 of 90

JEE Main 2022 · 29 Jul · Shift 1, Physics question 53

The pressure P1_1 and density d1_1 of diatomic gas (γ=75)\left(\gamma=\dfrac75\right) changes suddenly to P2_2 (> P1_1) and d2_2 respectively during an adiabatic process. The temperature of the gas increases and becomes _______ times of its initial temperature. (given d2d1=32\dfrac{d_2}{d_1}=32)

Answer and worked solution

Official answer: 4

Adiabatic. T∝ργ−1T\propto\rho^{\gamma-1}, so T2T1=322/5=4\frac{T_2}{T_1}=32^{2/5}=4.

Answer: 4