Nuclear Physics Question 7

Question 7 - 2024 (31 Jan Shift 2)

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:

(1) 24

(2) 32

(3) 40

(4) 20

Show Answer

Answer: (1)

Solution:

$\mathrm{R}{1}=\frac{\mathrm{R}{2}}{2}$

$\mathrm{R}{0}\left(\mathrm{~A}{1}\right)^{1 / 3}=\frac{\mathrm{R}{0}}{2}\left(\mathrm{~A}{2}\right)^{1 /}$

$\mathrm{A}{1}=\frac{1}{8} \mathrm{~A}{2}$

$\mathrm{A}_{1}=\frac{192}{8}=24$