Which of the following figure represents the variation of ln R R 0 with ln A (if R = radius of a nucleus and A = its mass number)

Question

Aicharya · Accepted Answer

We know the relation between radius and atomic mass number is $R = R_{0} A^{\frac{1}{3}}$ $\Rightarrow \ln R = \ln R_{0} + \frac{1}{3} \ln A$

$\Rightarrow \ln (\frac{R}{R_{0}}) = \frac{1}{3} \ln A$
It is similar to $y = m x$ which is equation of line passing through origin.

Which of the following figure represents the variation of ln R R 0 with ln A (if R = radius of a nucleus and…