Explanation:
Electric force is the force acting between two charged particles. Electric force between electron and proton is given by :
[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]
Distance between them, [tex]r=5.3\times 10^{-11}\ m[/tex]
[tex]F=9\times 10^9\times \dfrac{-(1.6\times 10^{-19})^2}{(5.3\times 10^{-11}\ m)^2}[/tex]
[tex]F=-8.2\times 10^{-8}\ N[/tex]
Gravitational force is the force acting between two masses. The gravitational force between the electron and proton is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]
Distance between them, [tex]r=5.3\times 10^{-11}\ m[/tex]
[tex]F=6.67\times 10^{-11}\times \dfrac{9.11\times 10^{-31}\ kg\times 1.67\times 10^{-27}\ kg}{(5.3\times 10^{-11}\ m)^2}[/tex]
[tex]F=3.61\times 10^{-47}\ N[/tex]
Hence, this is the required solution.
