`N` atoms of a radioactive element emit `n` alpha particles per second. The half-life of tge element is.

Options

A. `(n)/(N)sec`.
B. `1.44 (n)/(N) sec`.
C. `0.69 (n)/(N)sec`.
D. `0.69 (N)/(n)sec`.

Answer

D

Explanation

`n=lambdaN`
`=lambda=(n)/(N)`
`:. t_(1//2)=(0.69)/(lambda)=(0.69N)/(n)`