Physics - Modern Physics Question with Solution | TestHub

After one hour$\frac{A_0}{\sqrt{3}{\text{A}}_0}=\frac{1}{\sqrt{3}}={\left(\frac{1}{2}\right)}^{\text{1/T}}$

After next 3 hours means four hours from initial

$\frac{A}{{\text{A}}_0}={\left(\frac{1}{2}\right)}^{\text{4/T}}={\left[{\left(\frac{1}{2}\right)}^{\text{1/T}}\right]}^4={\left[\frac{1}{\sqrt{3}}\right]}^4=\frac{1}{9}$