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Given below are two statements : one is ...

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 `Mgtgtm`, 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:

A

A is not correct but R is correct

B

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

C

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

D

A is correct but R is not correct

Text Solution

Verified by Experts

The correct Answer is:
C
`m lt lt M`
`e= (v_(2)-v_(1))/(u_(1)-u_(2))`

For elastic collision `rarr e=1`
`1 =(v_(2)-u)/(u-0)`
`u= v_(2)-u`
`v_(2)=2u`
In elastic collision kinetic energy & momentum are conserved
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