Question

If the diameter of two different nuclei are in ratio 1:2, then their mass number are in ratio...?

Answer 1

Answer: Their mass number are in ratio of 1:8.

Explanation:

Radius of the nucleus is given as:

$R=r_oA^{\frac{1}{3}}$

A = Mass number, R = Radius of the nucleus, $r_o$ = Nucleon number= 1.25 fm

Given : The diameter of two different nuclei are in ratio 1:2

$\frac{d_1}{d_2}=\frac{1}{2}$

so the ratio of the radii will be :

$\frac{R_1}{R_2}=\frac{\frac{d_1}{2}}{\frac{d_2}{2}}=\frac{d_1}{d_2}=\frac{1}{2}$

$\frac{R_1}{R_2}=\frac{r_oA_1^{\frac{1}{3}}}{r_oA_2^{\frac{1}{3}}}$

$\frac{A_1}{A_2}=\frac{1}{8}$

Their mass number are in ratio of 1:8.

Answer 2

the correct answer is 1:8 ratio