1. Tardigrade
  2. Question
  3. Physics
  4. n α-particles per second are being emitted by N atoms of a radioactive element. The half-life of element will be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

UP CPMTUP CPMT 2006

Solution:

The number of $\alpha$-particles emitted per second is the decay rate R
$\therefore n=R =\lambda N$
$n=\frac{0.693N}{T_{1/2}}$
$(\because$ decay constant $\lambda=\frac{0.693}{T_{1 /2}})$
$\therefore T_{1/2} =\frac{0.693\,N}{n} sec$