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Question

A freshly prepared radioactive source of half life 2 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?

A
16 hrs
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B
5 hrs
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C
10 hrs
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D
32 hrs
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Solution

The correct option is C 10 hrs
Given : T1/2=2 hrs
Amount of radioactive substance left N=No2n
where n=tT1/2
No32=No2n
We get 2n=32=25
or n=5
t=5T1/2=5×2=10 hrs

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