Q89 / 180 · AIIMS 2014 · Physics

$n$-alpha particles per second are emitted from $N$ atoms of a radioactive element. The half-life of the radioactive element is

  • A
    $\frac{n}{N} \mathrm{~s}$
  • B
    $\frac{N}{n} \mathrm{~s}$
  • Correct answer
    C
    $\frac{0.693 N}{n} \mathrm{~s}$
  • D
    $\frac{0.693 n}{N} \mathrm{~s}$

Solution

As $R=\lambda N, n=\lambda N$, or $\lambda=(n / N)$ $T_{1 / 2}=\frac{0.693}{\lambda}=\frac{0.693 N}{n} \mathrm{~s}$

Hence, the correct answer is option: 'C'.

Relevant Questions