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which a U^(238) nucleus original at rest...

which a `U^(238)` nucleus original at rest , decay by emitting an alpha particle having a speed `u` , the recoil speed of the residual nucleus is

A

`3:58`

B

`58: 3`

C

`1: 58`

D

`58: 1`

Text Solution

Verified by Experts

The correct Answer is:
D
Law of conservation of linear momentum
`m_(alpha) v_(alpha) = m_(Th) v_(Th)`
`rArr 4v_(alpha)= 234 v_(Th)`
`rArr (v_(alpha))/(v_(Th)) = (234)/(4) ~~ (58)/(1)` (approx)
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