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Degree of Freedom

If the number...

Question

If the number of degrees of freedom of a gas is f, then the value of $γ$ will be

A

f

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B

2f

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C

f/2

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D

1+2/f

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Solution

The correct option is C 1+2/f
$γ = \frac{2 + f}{f} = 1 + \frac{2}{f}$ where $γ = \frac{C_{p}}{C_{v}}$ and f is the no of degrees of freedom.

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