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M(x) and M(y) denote the atomic masses o...

`M_(x) and M_(y)` denote the atomic masses of the parent and the daughter nuclei respectively in a radioactive decay. The Q - value for a `beta-` decay is `Q_(1)` and that for a `beta^(+)` decay is `Q_(2)`. If `m_(e)` denotes the mass of an electrons, then which of the following statements is correct?

A

`Q_(1)=(M_(X)-M_(Y))c^(2)` and `Q_(2)=(M_(X)-M_(Y)-2m_(e))c^(2)`

B

`Q_(1)=(M_(X)-M_(Y))c^(2)` and `Q_(2)=(M_(X)-M_(Y))c^(2)`

C

`Q_(1)=(M_(X)-M_(Y)-2m_(e))c^(2)` and `Q_(2)=(M_(X)-M_(Y)+2m_(e))c^(2)`

D

`Q_(1)=(M_(X)-M_(Y)+2m_(e))c^(2)` and `Q_(2)=(M_(X)-M_(Y)+2m_(e))c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

`E=Deltamc^(2)`
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