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A nucleus of uranium decays at rest into...

A nucleus of uranium decays at rest into nuclei of thorium and helium. Then :

A

The helium nucleus has less momentum than the thorium nucleus

B

The helium nucleus has more momentum than the thorium nucleus

C

The helium nucleus has less kinetic energy than the thorium nucleus

D

The helium nucleus has more kinetic energy than the thorium nucleus

Text Solution

Verified by Experts

The correct Answer is:
D

`""_(92)U^(238) rarr ""_(90)Th^(234) + ""_(2)He^(4)`
From linear momentum conservation
`KE= (p^(2))/(2m)`, P= constant
`KE prop (1)/(m)`
Hence, `(KE)_(alpha)` will be more [as `m_(alpha) lt m_(Th)]`
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