`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. `(N)/(n)sec`
C. `(0.693 N)/(n) sec`
D. `(0.693 n)/(N) sec`

Answer

C

Explanation

( c) `(dN)/(dt) = -lamda N rArr -lamda N(Given (dN)/(dt) = n)`
`:. lamda = -(n)/(N)`
`:.` Hal life `= (0.693)/(lamda) = (0.693)/(lamda) = (0.693)/(n) sec`.