Statement-$1$: $A$ body is rotating about an axis with angular velocity $\omega$ and moment of inertia $I$. Its angular momentum $L$ remains constant,but its rotational kinetic energy $K$ decreases,provided no external torque is applied.
Statement-$2$: $L = I\omega$ and $K = \frac{L^2}{2I} = \frac{1}{2} I\omega^2$.

• A
  Statement-$1$ is false,Statement-$2$ is true.
• B
  Statement-$1$ is true,Statement-$2$ is true,and Statement-$2$ is not the correct explanation of Statement-$1$.
• C
  Statement-$1$ is true,Statement-$2$ is false.
• D
  Statement-$1$ is true,Statement-$2$ is true,and Statement-$2$ is the correct explanation of Statement-$1$.