The half - line period 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. Y will decay at a faster rate than X
B. X will decay at a faster rate than Y
C. X and Y always decay at the same rate
D. X and Y have the same decay rate initially

Answer

A

Explanation

Given : `T(_("half") )_X = (tau_("mean"))_Y`
`(0.693)/(lamda_X) = (1)/(lamda_Y) therefore lamda_X = 0.693 lamda_Y`
Thus `lamda_Y gt lamda_X`
Initially both X and Y have the same number of atoms but `therefore lamda_Y gt lamda_X` , Y will decay at a faster rate than X.