Question

The ratio between the radii of nuclei with mass numbers $27$ and $125$ is :

• A. $5:3$
• B. $3:5$
• C. $27:125$
• D. $125:27$
• E. $1:1$

Answer 1

Answer: (B)

$3:5$

Radius of nuclei $R=R_0{A}^{1/3}$
$\therefore \frac{R_1}{R_2}={\left(\frac{A_1}{A_2}\right)}^{1/3}$
or $\frac{R_1}{R_2}={\left(\frac{27}{125}\right)}^{1/3}=\frac{3}{5}$