Discussion Forum



1)

The qusetion has statement I and statement II, Of the four choices given after the statements, choices 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 

$f\left(\frac{1}{2}mv^{2}\right),then f =\left(\frac{m}{M+m}\right)$

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


A) Statement I is true, Statement II is true, and statement II is the correct explanation of statement I

B) Statement I is true, Statement II is true, and statement II is the not the correct explanation of statement I

C) Statement I is true, Statement II is false

D) Statement I is false, Statement II is true,

Answer:

Option D

Explanation:

Maximum energy loss

  =$\frac{p^{2}}{2m}-\frac{p^{2}}{2(m+M)}\left( \because KE=\frac{p^{2}}{2m}\right)  $

  Before  collision  the mass m and afterr collision the mass m+M

 = $\frac{p^{2}}{2m}\left[\frac{M}{(m+M)}\right]$

 = $\frac{1}{2}mv^{2}\left\{\frac{M}{m+M}\right\}\left(f=\frac{M}{m+M}\right)$