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 have the same decay rate initially
(b) x and y decay at the same rate always
(c) y will decay at a faster rate than x
(d) x will decay at a faster rate than y

Options

A. `X` and `Y` have the same decay rate initially
B. `X` and `Y` decay at the same rate always
C. `Y` will decay at a faster rate than `X`
D. `X` will decay at a faster rate than `Y`

Answer

`(c)`

Explanation

`lambda_(1) = (0.693)/((t_(1//2))_(x)), lambda_(2) = (1)/((T_(AV))_(y))`
and `(t_(1//2))_(x) = (T_(AV))_(y)`
and Rate `= lambda [N_(0)]`