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  • A freshly prepared radioactive source of half life emits radiation of intensity which is 32 times the permissible safe va

A freshly prepared radioactive source of half life 2 \mathrm{~hrs} emits radiation of intensity which is 32 times the permissible safe value of intensity. Which of the following is the minimum time after which it would be possible to work safely with this source?
 

Option: 1

16 \mathrm{~hrs}


Option: 2

5 \mathrm{~hrs}


Option: 3

10 \mathrm{~hrs}


Option: 4

32 \mathrm{~hrs}


Answers (1)

best_answer

\begin{aligned} & \frac{N}{N_0}=\left(\frac{1}{2}\right)^{\frac{t}{T_\frac{1}{2}}} \\ & \Rightarrow \frac{1}{32}=\left(\frac{1}{2}\right)^{\frac{t}{T_\frac{1}{2}}} \\ & \frac{t}{T_\frac{1}{2}}=5 \\ & {\Rightarrow} \mathrm{t}=5 \times 2=10 \mathrm{hrs} \end{aligned}

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Rishabh

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