(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 $B,\ \ \frac{N}{N_{0}} = \left( \frac{1}{2} \right)^{1} = \frac{1}{2}$
$\therefore\ \frac{R_{A}}{R_{B}} = \frac{N_{0}/4}{N_{0}/2} = \frac{1}{2}$