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13.Nuclei
medium
$ ^{66}Cu $ નો $ \frac{7}{8} $ મો ભાગ વિભંજન થતાં $15$ મિનિટ લાગે છે,તો અર્ધઆયુ સમય કેટલા ........$min$ હશે?
A
$5$
B
$ 7\frac{1}{2} $
C
$10$
D
$15$
(AIEEE-2005)
Solution
(a) $\frac{7}{8}$part decays $i.e.$ remaining part is $\frac{1}{8}$
$N = {N_0}{\left( {\frac{1}{2}} \right)^{\frac{t}{{{T_{1/2}}}}}}$
$ \Rightarrow \frac{1}{8} = {\left( {\frac{1}{2}} \right)^{\frac{{15}}{{{T_{1/2}}}}}} \Rightarrow {T_{1/2}} =5\,$મિનિટ.
Standard 12
Physics
