JEE MAIN - Physics (2022 - 26th July Evening Shift - No. 11)
A gas has $$n$$ degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be :
$$ \frac{n}{n+2}$$
$$ \frac{n+2}{n}$$
$$ \frac{n}{2n+2}$$
$$ \frac{n}{n-2}$$
Explanation
$${C_V} = {{nR} \over 2}$$
And $${C_P} = {{nR} \over 2} + R$$
$$ \Rightarrow {{{C_V}} \over {{C_P}}} = {{{{nR} \over 2}} \over {{{nR} \over 2} + R}} = {n \over {n + 2}}$$
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