A) \[\left( 1+\frac{1}{n} \right)\]
B) \[\left( 1+\frac{n}{3} \right)\]
C) \[\left( 1+\frac{2}{n} \right)\]
D) \[\left( 1+\frac{2}{n} \right)\]
Correct Answer: D
Solution :
| [d] The specific heat of gas at constant volume in terms of degree of freedom n is |
| \[{{C}_{v}}=\frac{n}{2}R\] |
| Also \[{{C}_{p}}-{{C}_{v}}=R\] |
| So \[{{C}_{p}}=\frac{n}{2}R+R=R\left( 1+\frac{n}{2} \right)\] |
| Now, \[\gamma =\frac{{{C}_{p}}}{{{C}_{v}}}=\frac{R\left( 1+\frac{n}{2} \right)}{\frac{n}{2}R}=\frac{2}{n}+1\] |
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