Q63 / 90 · JEE Main 2021 (17 Mar Shift 1) · Physics

A polyatomic ideal gas has $24$ vibrational modes. What is the value of $γ ?$

Correct answer
A
$1.03$
B
$1.30$
C
$1.37$
D
$10.3$

Solution

Since each vibrational mode has $2$ degrees of freedom hence total vibrational degrees of freedom $= 48$

$f = 3 + 3 + 48 = 54$

$γ = 1 + \frac{2}{f} = \frac{28}{27} = 1.03$

Hence, the correct answer is option: 'A'.

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