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

Options

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

Answer

C

Explanation

`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.