Physics - Modern Physics Question with Solution | TestHub

$\text{N}={\text{N}}_0{\left(\frac{1}{2}\right)}^{\mathrm{n}}$

$\frac{{\text{N}}_0}{16}={\text{N}}_0{\left(\frac{1}{2}\right)}^{\mathrm{n}}$

${\left(\frac{1}{2}\right)}^4={\left(\frac{1}{2}\right)}^{\mathrm{n}}$

∴$\mathrm{n\; =\; 4}$

$\frac{\text{T}}{{\text{T}}_{\frac{1}{2}}}=4$

$\mathrm{\Rightarrow \; }\frac{\text{1}}{{\text{T}}_{\frac{1}{2}}}=4$

$\mathrm{\Rightarrow \; } {\text{T}}_{\frac{1}{2}}=\frac{1}{4}\text{ h}=15\text{min}$