Question

The size of the nucleus varies as __________ power of the atomic number.

• A. $1/2$
• B. $2$
• C. $1/3$
• D. $3$

Answer 1

The correct option is C $1/3$

We know that the cube of radius of nucleus is directly proportional to the atomic mass.

$R^3\alpha A$

$R\alpha A^{\frac{1}{3}}$

$R=R_0{A}^{\frac{1}{3}}$

Where, $R$ is the Radius of the nucleus

$R_0$ is Fermi Constant

So, the radius of a nucleus is proportional to the cube root of its mass number.