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Q.

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:

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a

Both A and R are correct but R is NOT the correct explanation of A.

b

A is correct but R is not correct.

c

A is not correct but R is correct.

d

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

answer is D.

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Detailed Solution

Conservation of Momentum, Mu+m(0)=Mv1+mv2Conservation of energy,12Mu2=12Mv12+12mv22Applying M>>m, ⇒V1=2u
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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: