Which of the following figure represents the variation of $\ln \left(\frac{R}{R_0}\right)$ with $\ln

Question

Which of the following figure represents the variation of $\ln \left(\frac{R}{R_0}\right)$ with $\ln A$ (if $R=$ radius of a nucleus and $A=$ its mass number)

Professor PC Thomas Classes · Answer

(b) : The radius of nuclei is given by $R=R_0 A^{1 / 3}$ (where, $A$ is mass number) So, $\frac{R}{R_0}=A^{1 / 3} ; \ln \left(\frac{R}{R_0}\right)=\frac{1}{3} \ln (A)$ So, it is a straight line and passing through origin and slope is $\frac{1}{3}$.