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  • A freshly prepared radioactive source of half life 2 hr emits radiation of intensity which is 64 times the permissible safe level. The minimum time after which it would be possible to work safely w

A freshly prepared radioactive source of half life 2 hr emits radiation of intensity which is 64 times the permissible safe level. The minimum time after which it would be possible to work safely with this source is

Option: 1

6 hr


Option: 2

12 hr


Option: 3

24 hr


Option: 4

5 hr


Answers (1)

best_answer

To work safely, intensity must reduce by 1/64

\begin{aligned} & \therefore \frac{\mathrm{N}}{\mathrm{N}_0}=\frac{1}{64}=\left(\frac{1}{2}\right)^{\mathrm{t} / \mathrm{T}} \text { i.e. }\left(\frac{1}{2}\right)^6=\left(\frac{1}{2}\right)^{\mathrm{t} / \mathrm{T}} \\ & \text { or } \frac{\mathrm{t}}{\mathrm{T}}=6 \text { or } \mathrm{t}=6 \mathrm{~T}=12 \mathrm{hrs} \end{aligned}

Posted by

Gautam harsolia

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