A polyatomic ideal gas has $24$ vibrational modes. What is the value of $\gamma$ ?
A$1.03$
B$1.30$
C$1.37$
D$10.3$
JEE MAIN 2021, Diffcult
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A$1.03$
a Since each vibrational mode has 2 degrees of
freedom hence total vibrational degrees of
freedom $=48$
$f=3+3+48=54$
$\gamma=1+\frac{2}{ f }=\frac{28}{27}=1.03$
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