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:

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

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

Detailed explanation

For \(e =1\) and second body at rest

\(V_{2}=\frac{2 m_{1} u_{1}}{m_{1}+m_{2}}=\frac{2 u(M)}{M+m} \simeq 2 u\)

Since \(M > >m\)

Same subject

From JEE Mains