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In an alpha -decay, the kinetic energy o...

In an `alpha` -decay, the kinetic energy of `alpha`-particles is `48 MeV` and `Q` value of the reaction is `50 MeV`. The mass number of the mother nucleus is (assume that daughter nucleus is in ground state)

A

96

B

100

C

104

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have `K_(alpha)=(m_(y))/(m_(y)+m_(alpha)).Q rArr K_(alpha) (A-4)/(A)Q`
`rArr48 =(A-4)/(A) =50 rArr A = 100`.
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