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13.Nuclei
medium
The activity of a sample reduces from $A_0$ to ${A_0} / \sqrt{3}$ in one hour. The activity after $3$ hours more will be
A
$\frac{{{A_0}}}{{3\sqrt 3 }}$
B
$\frac{{{A_0}}}{{9 }}$
C
$\frac{{{A_0}}}{{9\sqrt 3 }}$
D
$\frac{{{A_0}}}{{27}}$
Solution
The correct option is B
Given $A_{0}$ is the sample
since The activities are reducing per hour.
Thus, After 3 hour it reduces $\frac{A_{0}}{\sqrt{3}} \times (\frac{1}{\sqrt{3}})^3$
$=\frac{A_{0}}{9}$
Standard 12
Physics
