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The ratio of electrostatic and gravitati...

The ratio of electrostatic and gravitational force acting between electron and proton separated by a distance `5 xx 10^(-11)m`, will be (charge on electron `= 1.6 xx 10^(-19)C`, mass of electron `= 9.1 xx 10^(-31) kg`, mass of proton `= 1.6 xx 10^(-27) kg, G = 6.7 xx 10^(-11) N - m^(2)//kg^(2)`)

Text Solution

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The electric force `Fe = (e^(2))/(4pi epsilon_(0) r^(2))`
The gravitational force `Fg = (Gm^(2))/(r^(2))`
`therefore (Fe)/(Fg) = (1)/(4 pi epsilon_(0)) xx (e^(2))/(m^(2)G)`
`= 9 xx 10^(9) xx ((1.6 xx 10^(-19))^(2))/((9.1 xx 10^(-31))^(2) xx 6.67 xx 10^(-11)) = 4.17 xx 10^(42)`
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