Compare the electrostatic and gravitattional force between a proton and an electron separated by same distance .[ Use standard data ]

Explanation

Data supplied
Mass of an electron `m_1 =9.1 xx 10 ^(-31) kg. " " ` Mass of a proton ` m_2 =1.67 xx10 ^(27) kg .`
Charges of an electron `=|q_1| =1.6xx10 ^(19) C . " "` Charges of a proton `=|q_2| =1.6 xx10 ^(19) C `
Distance between a proton and an electron =r ( say)
`(1)/( 4piin _0) = 9 xx 10 ^(9) Nm^(2) C^(-2) " " G=6.67 xx10 ^(-11) Nm^(2) kg^(-2) `
Electrostatic force =` F_2 =(1)/( 4piin _0) (q_1q_2)/( r^(2)) to ( 1) ` Gravitational force =`F_g =(Gm_1m_2)/( r^(2)) to (2) `
` ((1)/(2)) (F_e)/( F_(g)) =(q_1q_2)/( 4pi in _0 G m_1m_2 ) = ( ( 1.6xx 10 ^(-19))^(2) xx 9xx 10 ^(9))/( 6.67xx 10^(-11) xx 9.1 xx 10 ^(-11) xx 1. 67 xx 10 ^( -27)) = 2.273 xx 10 ^(19) `