Question

An 'n' number of $\alpha -particles$ per second are being emitted by B atoms of a radioactive element. The half-life of element will be

• A. $\frac{n}{B}s$
• B. $\frac{B}{n}s$
• C. $\frac{0.693B}{n}s$
• D. $\frac{0.693n}{B}s$

Answer 1

The correct option is C $\frac{0.693B}{n}s$

Decay constant is $\frac{n}{B}$.
Half life $=\frac{\ln 2}{\lambda }=\frac{0.693B}{n}s$