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 glven as `f(1/2mv^2)` then `f=(m/(M+m))`
Statement II: Maximum energy loss occurs when the particles get stuck together as a result of the collision.

Options

A. Statement - 1 is ture , statement -2 is true, and statement-2 is correct explanation of statement -1.
B. Statement-1 if ture, statement-2 is true, but statement -2 is not a correct explanation of statement-1.
C. Statement-1 is true, but statement -2 is false.
D. Statement-1 is false, but statement-2 is true.

Answer

D

Explanation

Statement `-2` is true , from the knowledge of theory.
Now, maximum energy loss
`=(p^(2))/( 2m)-(p^(2))/(2(M+m))`
`=(p^(2)M+p^(2)m-p^(2)m)/( 2m(M+m))`
`=M(p^(2))/(2m(M+m))`
`=((1)/(2) m upsilon^(2))(M)/( (M+m))=f((1)/(2)m upsilon^(2))`
where ` f=(M)/(M+m)`
`:.` Statement `-1` is false.
Choice `(d)` is correct.