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Calculate the magnitude of electrostatic...

Calculate the magnitude of electrostatic force between a proton and an electron separated by a distance 0.5 Å . Given that magnitude of charge of proton and electron to be `1.6 xx 10^(-19)` C each and `(1)/(4 pi epsi_(0)) = 9 xx 10^(9) N - m^(2) C^(-2)` .

Text Solution

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Charge on electron , `q_(1) = 1.6 xx 10^(-19) C`
Charge on proton , `q_(2) = 1 . 6 xx 10^(-19) C`
Distance between charges , `r = 0.5` Å = `0.5 xx 10^(-10)` m
The electrostatic force between charges is `F = (1)/(4pi epsi_0) (q_(1) q_(2))/(r^2)`
= `(9 xx 10^(9) xx (1.6 xx 10^(-19))^(2))/((0.5 xx 10^(-10))^(2))`
`= (9 xx 10^(9) xx 2.56 xx 10^(-38))/(2.5 xx 10^(-21))`
`= 9.216 xx 10^(-8) N`
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