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13.Nuclei
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$^{215}At$ નો અર્ધઆયુ $100 \,\mu\,s$ છે,તો કેટલા ......... $\mu s$ સમય પછી $1/16^{th}$ ભાગ અવિભંજીત રહે?

A

$400$

B

$6.3 $

C

$40$

D

$300$

Solution

$N = {N_0}\,{\left( {\frac{1}{2}} \right)^n}$

$\Rightarrow$ $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^{t/{T_{1/2}}}}$

$\Rightarrow$ $\frac{1}{{16}} = {\left( {\frac{1}{2}} \right)^{t/100}}$

$\Rightarrow$ $  t = 400 \,\mu \,sec$

Standard 12
Physics

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