Question

Arrange these fundamental forces in order of their magnitude, if they act between two protons separated by a distance of $1fm$
$F_G$ is Gravitational force
$F_E$ is Electromagnetic force
$F_N$ is Strong Nuclear Force

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Let's note down all the forces
Gravitational force $F_G=\frac{G{m}_1{m}_2}{r^2}$ and we know the value of G is $6.67\times {10}^{-11}N{m}^{2}k{g}^{-2}$ which is very less.
The order of mass of protons is ${10}^{-27}Kg$
Hence the order of numerator we get is ${10}^{-65}$
Electrostatic force ,$F_E\frac{K{Q}_1{Q}_2}{r^2},$ and we know the value of k is $9\times {10}^{9}N{m}^2{C}^{-2}$
which is way more than the Gravitational constant.
The order of charge of the proton is${10}^{-19}C$
Hence the order of numerator we get is ${10}^{-28}$
Strong nuclear force is something we don't have the complete mathematical idea about, but from the informational data we understand that at distances of the order of $1-3fm$ , this force is the strongest.
It has to be or else how 2 protons with similar charges will coexists so closely inside a nucleus
Hence the correct answer is
$F_N>F_E>F_G$