This question has Statement-I and Statement-II. Of thefour choices given after the Statements, choose the one that best describes the two Statements. Statement-I: A point particle of mass in moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as   
`f(1/2  mv^2)` then `f=(m/(M+m))`
Statement-II : Maximum enegy loss occurs when the particles get stuck together as a result of the collision. 

Options

A. Statement-I is true, Statement-II is true, Statement-II is not a correct explanation of Statement
B. Statement-T is true, Statement-II is false
C. Statement-I is false, Statement-II is true
D. Statement-I is true, Statement-II is true, Statement-II is a correct explanation of Statement-1.

Answer

c

Explanation

Loss of energy is maximum when collision is inelastic as in an inelastic collision there will be maximum deformation.
KE in COM frame is `1/2((Mm)/(M+m))V_(rel)^2`
`KE_i=1/2((Mm)/(M+m))V^2` `KE-f=0(because V_(rel)=0)`
Hence loss in energy is `1/2((Mm)/(M+m))V^2`
`:. implies f=(M)/(M+m)` and not `((m)/(M+m))` as given in statement_I`.