Q174 / 180 · KCET 2011 · Physics

The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is

  • A
    $\frac{1}{4}$
  • B
    $\frac{1}{2 \sqrt{2}}$
  • C
    $\frac{1}{2}$
  • Correct answer
    D
    $\frac{1}{\sqrt{2}}$

Solution

$N_{0}=2^{n} N$ $N=\frac{N_{0}}{2^{n}}=\frac{N_{0}}{2^{4 / 2}}=\frac{N_{0}}{\sqrt{2}}$

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

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