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

A is not correct but R is correct.

b

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

c

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

d

A is correct but R is not correct.

answer is D.

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Detailed Solution

Conservation of Momentum, 

Mu+m(0)=Mv1+mv2

Conservation of energy,

12Mu2=12Mv12+12mv22

Applying 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: