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  • The half life of a radioactive substance is 20 minutes. In how much time, the activity of substance drops to <img alt="\left(\frac{1}{16}\right)^{\text {th }}" src="https://entrancecorner.oncodecog

The half life of a radioactive substance is 20 minutes. In how much time, the activity of substance drops to \left(\frac{1}{16}\right)^{\text {th }}of its initial value ?

Option: 1

20 minutes


Option: 2

40 minutes


Option: 3

60 minutes


Option: 4

80 minutes


Answers (1)

best_answer

\begin{aligned} & \left(\frac{1}{2}\right)^n=\frac{1}{16} \Rightarrow n=4 \\ & \text { So, } \Delta T=4 \times T_{\text {half }} \\ & =4 \times 20 \mathrm{~min} \\ & =80 \mathrm{~min} \end{aligned}

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Deependra Verma

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