The graph of ln(R/R₀) vs ln A (R=radius of nucleus and A=its mass number) is
As we know that the radius of a nucleus is
Applying log on both the sides, we have,
Or
Thus the above equation gives us an equation of a straight line
Here, y=ln(R/R₀) and x=ln(A).
Since in the above equation, c=0.Therefore, the graph obtained will be a straight line passing through the origin.
Thus (a) is the correct answer.
(b) is not the correct answer as the equation of a parabola is
(c) is not correct as the equation of ellipse is