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13.Nuclei
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જો રેડિયો એક્ટિવ પદાર્થ $0.1 mg $  $Th^{234}$ છે. $120$ તેમાંથી કેટલામાં કોઈ ફેરફાર થયો હશે નહિ? $ 24 $ અર્ધ આયુષ્ય ............ $\mu g$  છે.

A

$2.125$

B

$2.785 $

C

$3.125 $

D

$2.905$

Solution

$\,\frac{M}{{{M_0}}}\,\, = \,\,\,{\left( {\frac{1}{2}} \right)^{t/T}}\,\, $

$= \,\,{\left( {\frac{1}{2}} \right)^{120/24}}\,\, = \,\,{\left( {\frac{1}{2}} \right)^5} = \,\,\frac{1}{{32}}\,\,\,\,$

તેથી $M\,\, = \,\,\,\frac{{{M_0}}}{{32}}\,\, $
$= \,\,\frac{{0.1\,\,\,\,mg}}{{32}}\,\, = \,\,3.125\,\,\,\mu g.$

Standard 12
Physics

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