This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement I: A point particle of mass $m$ moving with speed $v$ collides with stationary point particle of mass $M$. If the maximum energy loss possible is given as $f\left(\frac12 mv^2\right)$ then $f = \frac{M}{M+m}$.

Statement II: Maximum energy loss occurs when the particles get stuck together as a result of the collision.