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. The ratio of ${E_\varphi }$ to ${E_\theta }$ is
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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B${C_p}/{C_v}$
b (b) Ratio of adiabatic and isothermal elasticities
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Young's modules of material of a wire of length ' $L$ ' and cross-sectional area $A$ is $Y$. If the length of the wire is doubled and cross-sectional area is halved then Young's $modules$ will be :
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