Physics Elasticity Question 14

Question: The specific heat at constant pressure and at constant volume for an ideal gas are $ C _{p} $ and $ C _{v} $ and its adiabatic and isothermal elasticities are $ {E _{\varphi }} $ and $ {E _{\theta }} $ respectively. Theratio of $ {E _{\varphi }} $ to $ {E _{\theta }} $ is

[MP PMT 1989; MP PET 1992]

Options:

A) $ C _{v}/C _{p} $

B) $ C _{p}/C _{v} $

C) $ C _{p}C _{v} $

D) $ 1/C _{p}C _{v} $

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Answer:

Correct Answer: B

Solution:

Ratio of adiabatic and isothermal elasticities $ \frac{E\varphi }{E\theta }=\frac{\gamma ,P}{P}=\gamma =\frac{C _{p}}{C _{v}} $