Two protons inside a nucleus are separated by a centre–to–centre distance of

PHYSICS · Subjective · CBSE · Physics · Nuclei · Nuclei

Problem

0.8\,\text{fm}

. The magnitude of the attractive nuclear force between them at this separation is measured to be

30\,\text{N}

. (i) Calculate the electrostatic (Coulomb) force between the same two protons at this distance. Take

k = 9 \times 10^{9}\,\text{N m}^2 \text{C}^{-2}

and

e = 1.6 \times 10^{-19}\,\text{C}

. (ii) Determine the ratio

\dfrac{F_{\text{nuclear}}}{F_{\text{electrostatic}}}

. (iii) On the basis of the result, comment on the relative strengths and charge dependence of the two interactions within the nuclear domain.