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JEE Main 202117 MarchMorning Shift

Exam: JEE Main
Year: 2021
Date: 17 March
Shift: Morning Shift
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2021 · 17 March · Morning Shift · Physics · Kinetic Theory of Gases

A polyatomic ideal gas has 24 vibrational modes. What is the value...

A polyatomic ideal gas has

24

vibrational modes. What is the value of

\gamma ?

Options

A $1 . 03$
B $1 . 30$
C $1 . 37$
D $10 . 3$

Correct answer

A. $1 . 03$

Step-by-step solution

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

$f = 3 + 3 + 48 = 54$

$\gamma = 1 + \dfrac{2}{f} = \dfrac{28}{27} = 1 . 03$

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