This question has Statement $1$ and Statement $2$. Of the four choices given after the Statements,choose the one that best describes the two Statements.
Statement $1$ : When the moment of inertia $I$ of a body rotating about an axis with angular speed $\omega$ increases,its angular momentum $L$ remains unchanged,but the kinetic energy $K$ decreases if no external torque is applied.
Statement $2$ : $L = I\omega$ and the rotational kinetic energy $K = \frac{1}{2}I\omega^2 = \frac{L^2}{2I}$.

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