Q. 3.8 days is the half-life period of a sample. After how many days, the sample will become 1/8th of the original substance
A) 11.4
B) 3.8
C) 3
D) None of these
Explanation
(a) $\frac{N}{N_{0}} = \left( \frac{1}{2} \right)^{n} \Rightarrow \frac{1}{8} = \left( \frac{1}{2} \right)^{n} \Rightarrow n = 3$
Now $t = n \times T_{1/2} = 3 \times 3.8 = 11.4\ days$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.