A) \[{{n}^{\gamma }}p\]
B) \[{{n}^{-\gamma }}p\]
C) \[{{n}^{(\gamma -1)}}p\]
D) \[{{n}^{(\gamma -1)}}p\]
Correct Answer: A
Solution :
Volume of the gas \[V=\frac{m}{d}\] and using \[p{{V}^{\gamma }}=\] constant we get \[\frac{p}{p}={{\left( \frac{V}{V} \right)}^{\gamma }}={{\left( \frac{d}{d} \right)}^{\gamma }}\] \[p={{\left( \frac{nd}{d} \right)}^{\gamma }}p\] \[={{n}^{\gamma }}p\]
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