Question

For a nucleus having mass number $125$, its radius of nucleus is -

• A. $5.5\times {10}^{-17}\text{m}$
• B. $5.5\times {10}^{-10}\text{m}$
• C. $5.5\times {10}^{-12}\text{m}$
• D. $5.5\times {10}^{-15}\text{m}$

Answer 1

The correct option is D $5.5\times {10}^{-15}\text{m}$

We know that, radius of nucleus,

$R=R_0{A}^{1/3}$

$\Rightarrow R=1.1\times {10}^{-15}\times (125{)}^{1/3}$

$\Rightarrow R=5.5\times {10}^{-15}\text{m}$

Hence, option $\left(D\right)$ is the correct answer.