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In Bohr model of hydrogen atom, the elec...

In Bohr model of hydrogen atom, the electron revolves around the nucleus in a circular orbit of radius `5.0xx10^(-11)` m with a speed `2.2 xx10^(6) ms^(-1)`. Find the equivalent current. (Electronic charge = `1.6 xx 10^(-19)`coulomb)

Text Solution

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Here, `r=5.0 xx 10^(-11)m`,
`v=2.2xx10^(6)ms^(-1), e=1.6xx10^(-19)C`
Let v be the frequency of revolution of electron in hydorgen, then
`v=1/T= (1)/((2 pi r//v)) = v/2 pi r`
`I= ev = (ev)/(2 pi r) =((1.6xx10^(-19))xx(2.2 xx 10^(6)))/(2 xx (22/7) xx 5.0 xx 10^(-11))`
`=1.12 xx10^(-3)A`
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