Q125 / 150 · MHT CET 2022 (07 Aug Shift 2) · Physics

The half of a radioactive substance is 25 minutes The time between $50 \%$ decay and $87.5 \%$ decay of the substance will be

  • A
    75 min
  • B
    $25 \mathrm{~min}$
  • C
    $37.5 \mathrm{~min}$
  • Correct answer
    D
    $50 \mathrm{~min}$

Solution

For $50 \%$ decay, time is equal to one half-life. For $87.5 \%$ decay, time is three half - lives. $\therefore$ Time interval $\Delta \mathrm{t}=2$ half - lives. $\Delta t=2 \times 25 \mathrm{~min}=50 \mathrm{~min}$

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

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