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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

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The correct Answer is:
B
`K_(alpha) = ((A-4)/(A)) Q`
`48 = ((A-4)/(A)) 50`
`48A = 50A - 200 rArr 200 = 2A rArr A = 100`
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