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A radiactive sample decays by two differ...

A radiactive sample decays by two different processes .Half - life for the first process is `t_(1)` and for the second process is `t_(2)` . The effective half-life is

A

`(t_(1)+t_(2))`

B

`(t_(1)-t_(2))`

C

`(t_(1)+t_(2))//2`

D

`(t_(1)t_(2))/(t_(1)+t_(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
As, `lambda=lambda_(1) + lambda_(2) rArr 1/t=1/t_(1) + 1/t_(2) = (t_(2)+t_(1))/(t_(1)t_(2))` or `t=(t_(1)t_(2))/(t_(1)+t_(2))`
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