Question 61 of 239

Which of the following figure represents the variation of $\ln \left(\dfrac{R}{{R}_{0}}\right)$ with $\ln A$ (if $R=$ radius of a nucleus and $A=$ its mass number)

ABCD

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Answer: (B)

We know the relation between radius and atomic mass number is $R={R}_{0}{A}^{\dfrac{1}{3}}$ $\Rightarrow \ln R=\ln {R}_{0}+\dfrac{1}{3}\ln A$
$\Rightarrow \ln \left(\dfrac{R}{{R}_{0}}\right)=\dfrac{1}{3}\ln A$
It is similar to $y=mx$ which is equation of line passing through origin.

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