Question

In a sample of radioactive material, what fraction of the initial number of active nuclei will remains unsegregated after half-life of the sample?

• A. $\frac{1}{4}$
• B. $\frac{1}{2R2}$
• C. $\frac{1}{\sqrt{2}}$
• D. $\sqrt{2}-1$

Answer 1

The correct option is C $\frac{1}{\sqrt{2}}$

$\begin{array}{cc}N& =N_0{\left(\frac{1}{2}\right)}^n\\ & \text{Here,}n=1/2\\ & N=N_0{\left(\frac{1}{2}\right)}^{1/2}\\ \therefore & \text{Required fraction is}1/\sqrt{2}\end{array}$