Q. The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is
A) $\frac{1}{\sqrt{2}}$
B) $\frac{1}{2}$
C) $\frac{1}{2\sqrt{2}}$
D) $\frac{1}{4}$
Explanation
(a) $\ \ \ \ \ \ N\ = \frac{N_{0}}{2^{n}}\ = \frac{N_{0}}{2^{1/2}}\ = \frac{N_{0}}{\sqrt{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.