The half-line period of a radioactive element A is same as the mean life time of another radioactive element B. Initially both have the same number of atoms. Then

Options

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

Answer

C

Explanation

`(t_(1/2))_(A) = (t _(mean))_(B)`
`(0.6931)/(lambda_(A)) = (1)/(lambda_(B))`
`lambda_(A) = 0.6931 lambda_(B)`
`lambda_(A) lt lambda_(B)`