Question

If the electrical force between two identical masses with same charge is equivalent to the gravitational force between them, then the charge on each object can be related to the masses as:

• A. $q=\sqrt{\frac{k}{G}}m$
• B. $q=\sqrt{\frac{g}{k}}m$
• C. $q=\sqrt{\frac{k}{g}}m$
• D. $q=\sqrt{\frac{G}{k}}m$

Answer 1

The correct option is D $q=\sqrt{\frac{G}{k}}m$

Given that, $F_g=F_e=>\frac{Gm.m}{r^2}=\frac{kq.q}{r^2}=>q=\sqrt{\frac{G}{k}}m$