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If the photon of the wavelength 150 p m ...

If the photon of the wavelength `150 p m` strikes an atom and one of its inner bound electrons is ejected out with a velocity of `1.5xx10^(7) ms^(-1)`, calculate the energy with which it is bound to the nucleus.

Text Solution

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Energy of incident photon
`(hc)/(lambda)`
`=((6.626 xx 10^(-34) Js) xx (3.0 xx 10^(8) ms^(-1)))/((150 xx 10^(-12)m))`
`= 1.325 xx 10^(15) J`
Energy of ejected electron was bound to the nucleus
`=13.25 xx 10^(-16) - 1.025 xx 10^(-16)`
`= 12.225 xx 10^(-16)J`
or `" " = (12.225 xx 10^(-16))/(1.602 xx 10^(-19)) = 7.63 xx 10^(3) eV`.
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