`F_(g)` and `F_(e)` represent gravitational and electrostatic force respectively between electrons situated at a distance 10 cm. The ratio of `F_(g)//F_(e)` is of the order of

Options

A. `10^(43)`
B. `10^(1)`
C. `10^(0)`
D. `10^(-43)`

Answer

D

Explanation

Gravitational force between two electron
`F_(g)=(Gm_(e)m_(e))/(r^(2))`
`=(6.67xx10^(-11)xx(9.1xx10^(-31))^(2))/(r^(2))`
Electrostatic force between 2 electrons
`F_(e)=1/( 4 pi epsilon_(0)) . (q_(e). q_(e))/(r^(2))`
`F_(e)=(9xx10^(9)xx(1.6xx10^(-19))^(2))/(r^(2))`
`(F_(g))/(F_(e))=10^(-43)`