n` alpha`-particles per second are being emitted by N atoms of a radioactive element. The half-life of element will be :

Options

A. `((n)/(N))s`
B. `((CN)/(n))s`
C. `(0.693 N)/(n) s`
D. `(0.693n)/(N)`

Answer

C

Explanation

Rate of energy `= lambdaN, " "n =((0.693)/(t_(1//2)))N, " "t_(1//2) = ((0.693)/(n))`