Q. Three fourth of the active decays in a radioactive sample in $\frac{3}{4}s$. The half life of the sample is
A) $\frac{1}{2}s$
B) $1s$
C) $\frac{3}{8}s$
D) $\frac{3}{4}s$
Explanation
(c) $\frac{3}{4}th$ active decay takes place to time
$t = 2\left( T_{1/2} \right) \Rightarrow \frac{3}{4} = 2\left( T_{1/2} \right) \Rightarrow T_{1/2} = \frac{3}{8}s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.