Calculate how far apart an electron and a proton would have to be for their electric...

Calculate how far apart an electron and a proton would have to be for their electric force to be equal in magnitude to their gravitational force in a hydrogen atom (a distance of 52.9pm). Give the answer in meters. Then convert meters to light-years given that the speed of light is 2.998*10⁸ m/s and a year is approximately 365.2421 days, and a light year is the distance light travels in one year.

Expert Solution

let the separation be r

the electric force between electron and proton will be

the gravitational force between them in the hydrogen atom is

equating the two forces

r = 2.52 X 10⁹ m

distance covered by light in one year = 2.998 X 10⁸ X 365.2421 X 24 X 60 X 60 = 9.46 X 10¹⁵ m

r = 2.66 X 10^-7 light years

genius_generous answered 1 year ago

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