Given below are two statements: one is labelled as Assertion A and...

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Body $P$ having mass $M$ moving with speed $u$ has head-on collision elastically with another body $Q$ having mass $m$ initially at rest. If $m ≪ M$ , body $Q$ will have a maximum speed equal to $2u$ after collision.

Reason R : During elastic collision, the momentum and kinetic energy are both conserved.

In the light of the above statements, choose the most appropriate answer from the options given below:

Options

AA is correct but R is not correct.
BA is not correct but R is correct.
CBoth A and R are correct and R is the correct explanation of A
DBoth A and R are correct but R is NOT the correct explanation of A

Correct answer

C. Both A and R are correct and R is the correct explanation of A

Step-by-step solution

For $e = 1$ & second body at rest

${V}_{2} = \dfrac{2{m}_{1}{u}_{1}}{{m}_{1} + {m}_{2}} = \dfrac{2u\left(M\right)}{M + m} ≃ 2u$

Since $M > > m$

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