Question

Radius of the nucleus is proportional to:
A. ${A^{}}$
B. ${A^{\dfrac{1}{3}}}$
C. ${A^2}$
D. ${A^{\dfrac{2}{3}}}$

Answer 1

Hint: Atom: Atom is the smallest unit of any object. Atoms are extremely small. Atoms contain nuclei. Atomic size is the distance between the center and outermost shell. Atomic radii is the smallest distance between the center and outermost shell.

Complete step by step answer:
Nucleus: Every atom consists of a nucleus. The Nuclei of the atoms are very dense and consisting of neutrons and protons. Neutrons are those particles that have positive charge and neutrons are those particles having neutral charge by nature.
Atomic masses of any atom are calculated by addition of protons and neutrons which are present in the nucleus. And the atomic mass is denoted by “Z”.
The most nuclei are approximately spherical. The average radius of a nucleus with nucleons is \[R = {R_0}{A^{1/3}}\] where${R_0} = 1.2*{10^{ - 15}}m$. The volume of the nucleus is directly proportional to the total nucleons present.
So, \[R = {R_0}{A^{1/3}}\]

So, the correct answer is “Option B”.

Note: The nucleus of an atom is discovered by Ernest Rutherford in 1911 by bombardment of $\alpha $ particles is thin gold sheets where they observed that some particles are diverted by their paths and some of the particles are returned from the path. Then they observe that a positive charge is in the center that repels the charge. Experiments of Rutherford are known as Gold foil experiments which were carried forward by Geiger-Marsden in 1909.