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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

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

$Conservation of Momentum,$

$Mu + m (0) = M v_{1} + m v_{2}$

$Conservation of energy,$

$\frac{1}{2} M u^{2} = \frac{1}{2} M {v_{1}}^{2} + \frac{1}{2} m {v_{2}}^{2}$

$Applying M>>m,$

$\Rightarrow V_{1} = 2 u$

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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: