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The half - life period of a radioactive ...

The half - life period of a radioactive element x is same as the mean life time of another radioactive element y Initially both of them have the same number of atoms. Then

A

X and Y decay at same rate always

B

X will decay faster than Y

C

Y will decay faster than X

D

X and Y have same decay rate initially

Text Solution

Verified by Experts

The correct Answer is:
C
`T_X=T_(Y(avg)) = 1.44 T_Y`
i.e. `T_X gt T_Y therefore lambda_X lt lambda_Y`
`because R=lambdaN` and N is same for both, `therefore R_X lt R_Y` or `R_Y gt R_X`
i.e. Y will decay faster than X.
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Knowledge Check

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