JEE Main20207 Jan 2020Evening ShiftPhysicsThermodynamicsActual
Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently, the mean collision time between the gas molecule changes from τ 1 to τ 2 . If C P C v = γ for this gas then a good estimate for τ 2 τ 1 is given by
Options
- A2
- B1 2
- C1 2 γ
- D1 2 γ + 1 2
Correct answer
D. 1 2 γ + 1 2
Step-by-step solution
Relaxation time τ ∝ V T And T ∝ 1 V γ - 1 τ ∝ V 1 + γ - 1 2 τ ∝ V 1 + γ 2 τ f τ i = 2 V V γ + 1 2 τ f τ i = 2 γ + 1 2