First slide

Radio activity

Question

A freshly prepared radio active 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

Moderate

Solution

If A be the activity at safe level, Then
$\frac{A}{A_{0}} = \frac{1}{{(2)}^{n}} \Rightarrow \frac{1}{64} = \frac{1}{{(2)}^{n}} \Rightarrow n = 6 \Rightarrow n t_{1 / 2} = 12 h r .$

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