Q. Two radioactive sources $A$ and $B$ of half lives 1h and 2h respectively initially contain the same number of radioactive atoms. At the end of two hours, their rates of disintegration are in the ratio of

A) $1:4$
B) $1:3$
C) $1:2$
D) $1:1$
Explanation

(c) Rate of disintegration $\propto$ Number of atoms left
In case of source $A,\ \ \frac{N}{N_{0}} = \left( \frac{1}{2} \right)^{2} = \frac{1}{4}$
In case of source $B,\ \ \frac{N}{N_{0}} = \left( \frac{1}{2} \right)^{1} = \frac{1}{2}$
$\therefore\ \frac{R_{A}}{R_{B}} = \frac{N_{0}/4}{N_{0}/2} = \frac{1}{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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