question_answer

When a system is taken from state\[E={{E}_{0}}\]to state f along the path iaf, it is found that\[sin\text{ }\omega t\] and\[I={{I}_{0}}\sin \left( \omega t-\frac{\pi }{2} \right)\]. Along the path ibf, \[p=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}\]cal. W along the path ibf is              [AIEEE 2007]

A)  6 cal               

B)       16 cal

C)  66 cal           

D)       14 cal

Correct Answer: A

Solution :

[a] From first law of thermodynamics,

For path iaf,

For path ibf,

or

(is same being path independent function)