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)=(t_(mean))_(y)`ltbrge(0.693)/(lambda_(x))=(1)/(lambda_(y)) `
`lambda_(x) lt lambda_(y)`
or Rate of decay `=lambda=N`
Initially, number of atoms (N) of both ar equal but since `lambda_(y) gt lambda_(x)`, therefore, Y will decay at a faster rate than` X`.