Given below are two statement  Statement \(-I\) : What \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left( P _{1}, V _{1}, T _{1}\right)\) to state \(\left( P _{2}, V _{2}, T _{2}\right)\), the work done is \(W =\frac{1 R \left( T _{2}- T _{1}\right)}{1-\gamma}\), where \(\gamma=\frac{ C _{ P }}{ C _{ V }}\) and \(R =\) universal gas constant, Statement \(-II\) : In the above case. when work is done on the gas. the temperature of the gas would rise. Choose the correct answer from the options given below

1. A Both statement \(-I\) and statement \(-II\) are true.
2. B Both statement \(-I\) and statement \(-II\) are false.
3. C Statement \(-I\) is true but statement \(-II\) is false.
4. D Statement \(-I\) is false but statement \(-II\) is true.