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(B) The radius of a nucleus is given by the relation: $R = R_{0} A^{1/3}$,where $R_{0}$ is a constant and $A$ is the mass number.Taking the natural lo

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(B) The radius of a nucleus is given by the relation: $R = R_{0} A^{1/3}$,where $R_{0}$ is a constant and $A$ is the mass number.Taking the natural logarithm on both sides:$\ln \left(\frac{R}{R_{0}}\right) = \ln (A^{1/3})$Using the logarithmic property $\ln(x^n) = n \ln(x)$,we get:$\ln \left(\frac{R}{R_{0}}\right) = \frac{1}{3} \ln A$This equation is of the form $y = mx$,which represents a straight line passing through the origin with a slope of $1/3$.Therefore,the graph of $\ln \left(\frac{R}{R_{0}}\right)$ versus $\ln A$ is a straight line.

Which of the following figures represents the variation of $\ln \left(\frac{R}{R_{0}}\right)$ with $\ln A$ (where $R =$ radius of a nucleus and $A =$ its mass number)?

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