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  2. A freshly prepared radioactive source of half life 2 hours emits radiation of intensity which is
# Medical

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

Answers (1)
A Avinash Dongre

we know that 

Number of nuclei in terms of half life

N=\frac{N_{0}}{2^{t/t_{1/2}}}

and it is also given that N_0=64N_s

 

where N_s is corresponding to safe limit

and t_{\frac{1}{2}}=2h

so we get 

N_s=64N_se^{-\frac{ln2*t}{2}}

after solving we get t=12 hours

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