Physics - Modern Physics Question with Solution | TestHub

Probability that a nucleus will not decay is

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

Where$\mathrm{n}$is the number of half lives$\mathrm{q}={\left(\frac{1}{2}\right)}^4=\frac{1}{16}$

Probability that a nucleus will decay is

$\mathrm{p}=1-\mathrm{q}=1-\frac{1}{16}=\frac{15}{16}$