Question

Suppose the charge of a proton and an electron differ slightly. One of them is -e, and the other is (e+Δe). If the net of electrostatic force and the gravitational force between two hydrogen atoms placed at a distance d apart is zero, then Δe is of the order?

Answer 1

Given,

$m_h=1.67\times 10-27kg$
The net charge on the hydrogen atom $q=(e+\Delta e)-e=\Delta e$
Let the distance between them be $d$.
Equating gravitational force and the electrostatic force,

we get,
$\frac{G{m^2}_h}{d^2}=\frac{k{\left(\Delta e\right)}^2}{d^2}$
or
$⟹\Delta e=2.06\times 10-37C$
Hence, the correct answer is option D.