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

`(T_(1//2))_(X) = (bar(T))_(Y) = 1.44(T_(1//2))_(Y)`
`(T_(1//2))_(Y) lt (T_(1//2))_(X)`