The ratio of electric force and gravitational force between a proton and an electron at a certain distance is……

Options

A. `10^(41)`
B. `2.4 xx 10^(41)`
C. `2.4 xx 10^(39)`
D. `3.9 xx 10^(24)`

Answer

C

Explanation

The electric force between an electron and a proton at a distance r,
`F_(e) = 1/(4pi epsilon_(0))e^(2)/r^(2)`
The gravitational force between an electron and a proton at a distance V,
`F_(g) = (GM_(e)m_(p))/r^(2)`
Ratio `F_(e)/F_(g) =e^(2)/(4piepsilon_(0)GM_(e)m_(p))`
`F_(e)/F_(g) = 2.4 xx 10^(39)`