Question

Two nuclei have mass numbers in the ratio 1:8. what is the ratio of their nuclear radii?

Answer 1

nuclear radius is directly propotional to the cube of mass or atomic mass;

R ∝  A power 1/3

let R1,R2 be the radii and A1,A2 be the atomic mass  respectively ;

A1/A2=1/8

R1/R2=(A1/A2)power1/3=(1/8)pow 1/3=1/2

thus the required ratio is ;  1:2.

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