Q62 / 90 · JEE Main 2021 (17 Mar Shift 2) · Physics

If one mole of the polyatomic gas is having two vibrational modes and $β$ is the ratio of molar specific heats for polyatomic gas $(β = \frac{C_{P}}{C_{v}})$ then the value of $β$ is :

A
$1.02$
Correct answer
B
$1.2$
C
$1.25$
D
$1.35$

Solution

$f = 4 + 3 + 3 = 10$ , assuming non-linear,

$β = \frac{C_{p}}{C_{v}} = 1 + \frac{2}{f} = \frac{12}{10} = 1.2$

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

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