question_answer

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats\[\gamma \]. It is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by[AIEEE 2011]

A)  \[\frac{(\gamma -1)}{2R}M{{\upsilon }^{2}}K\]

B)       \[\frac{(\gamma -1)}{2(\gamma +1)R}M{{\upsilon }^{2}}K\]

C)  \[\frac{(\gamma -1)}{2\gamma R}M{{\upsilon }^{2}}K\]

D)       \[\frac{\gamma M{{\upsilon }^{2}}}{2R}K\]

Correct Answer: A

Solution :

[a]