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# The radius of nucleus is:A. proportional to its mass numberB. inversely proportional to its mass numberC. proportional to the cube root of its mass numberD. not related to its mass number

Last updated date: 13th Jun 2024
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Hint: Atomic nucleus is a small and dense region consisting of protons and neutrons at the center of an atom discovered by Ernest Rutherford in 1911. The size of the radius of the nucleus is 1-10 fm or femtometre.

Mathematically, represented as $\text{R = }{{\text{R}}_{0}}{{\text{A}}^{{1}/{3}\;}}$, where R is the radius and A is the atomic mass number (the number of protons plus the number of neutrons) and ${{\text{R}}_{0}}$is $1.25\times {{10}^{-15}}$m. The stable nucleus has approximately a constant density.
Note: The stability of an atom is counted by the stability of its nucleus. More stable a nucleus is the required energy is more per nucleon to pull the nucleus apart. The stability is caused by the attractive nuclear force between the nucleons. $_{56}\text{Fe}$ is the most stable nucleus. Repulsion between distant protons leads to instability and less binding energy per particle.