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Asked in GSEB Board August 2020 · Nuclear radius and density
Given: A₁=197 for gold and A₂=107 for silver.
Idea: R=R₀A^1/3, so the ratio of the radii is the cube root of the ratio of the mass numbers.
(RAu)/(RAg)=((197)/(107))^1/3=(1.84)^1/3.
(1.84)^1/3=1.23.
So the gold nucleus has only about 1.23 times the radius of the silver nucleus, although it holds nearly twice as many nucleons — the cube root flattens the difference.
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