Question

For a nucleus having mass number $64$, its radius of nucleus is -

• A. $4.4\times {10}^{-10}\text{m}$
• B. $4.4\times {10}^{-17}\text{m}$
• C. $4.4\times {10}^{-12}\text{m}$
• D. $4.4\times {10}^{-15}\text{m}$

Answer 1

The correct option is D $4.4\times {10}^{-15}\text{m}$

We know that, radius of nucleus,

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

$\Rightarrow R=1.1\times {10}^{-15}\times (64{)}^{1/3}$

$\Rightarrow R=4.4\times {10}^{-15}\text{m}$

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