Suppose the charge of a proton and an electron differ slightely. One of them is `-e`, the other is `(e+Deltae)`. If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance `d` (much greater than atomic size) apart is zero. Then `Deltae` is of the order of [Given mass of hydrogen `m_(h)=1.67xx10^(-27)kg`]

Options

A. `10^(-20)` C
B. `10^(-23)` C
C. `10^(-47)` C
D. `10^(-37)` C

Answer

D

Explanation

Force between two hydrogen atom
Net charge on hydrogen atom
`q=e+p^(+) =-e+(e+Deltae)=Deltae`
`F_"eletr"=F_"gravital"`
`(K(Deltae)^2)/d^2 =(Gm_e^2)/d^2`
`9xx10^9 (Deltae)^2 =6.67xx10^(-11)xx(1.67xx10^(-27))^2`
`Deltae=10^(-37)` C