This question has Statement - I and Statement - II of the four...

Maximum energy loss will take place in perfectly inelastic collision, and is given by, $∆ K = \dfrac{{P}^{2}}{2m} - \dfrac{{P}^{2}}{2\left(m + M\right)}$
$⇒ ∆ K = \dfrac{{P}^{2}}{2m}\left[1 - \dfrac{m}{\left(m + M\right)}\right]$
$⇒ ∆ K = \dfrac{{P}^{2}}{2m}\left[\dfrac{M}{\left(m + M\right)}\right]$
$⇒ ∆ K = \dfrac{1}{2}m{v}^{2}\left[\dfrac{M}{\left(m + M\right)}\right]$
On comparing with the given form of equation, we have, \left(f = \dfrac{M}{m + M}\right)$<br /><br />Hence Statement-$I$is false, Statement-$II is true. ( As it is perfect Inelastic collision)