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An alpha-particle of mass m suffers 1-di...

An alpha-particle of mass m suffers `1`-dimentinal eleastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing `64%` of its initial kinetic energy. The mass of the nucleus is :

A

3.5m

B

`1.5`m

C

4m

D

2m

Text Solution

Verified by Experts

The correct Answer is:
C

Conserving momentum `m u= -mv_(1)+Mv_(2)` ...(i)
Collision of nuclear particle to be elastic `e= (v_(2) +v_(1))/(u)=1`
`therefore v_(2)= u- v_(1)`
`v_(1)= 0.6v`
1.6m = 0.4M`rArr M= 4m`
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