Question

Two protons are kept at a separation of 10 nm. Let $F_n$ and $F_e$ be the nuclear force and the electromagnetic force between them.

• A. $F_e=F_n$
• B. $F_e\gg F_n$
• C. $F_e\ll F_n$
• D. $F_{e}and{F}_n$ differ only slightly

Answer 1

The correct option is B $F_e\gg F_n$

Let's enquire “For a given distance what are the values of Electrostatic force and Strong nuclear force separately?”
The distance given is 10 nm
1. We know at a distance of 10 nm the strong nuclear force is almost zero. It has its effect on two nucleons only when the distance between the two nucleons is less than equal to few Fermi $\left({10}^{-15}\right)$ (Strong Nuclear force is a short ranged force). After this there is an exponential fall in this force.
2. At the given distance the electrostatic force will be much stronger
Hence , $F_e\gg F_n$