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A polyatomic ideal gas has 24 vibrational modes. What is the value of \(\gamma\) ?

(1) 10.3 (2) 1.03 (3) 1.30 (4) 1.37

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(2) 1.03 is the correct option

Explaination :: 

f= 3+3 +24 (vibrational modes) =30

\(\gamma = 1+{2\over30}={16\over15}\) 

\(\gamma=1.067\)

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