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If the electron gains the energy for the jump from energy level E_(1) to energy level E_(3) by absorbing light, what light wavelength is required ? |
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Answer» Solution :KEY IDEAS (1) If light is to transfer energy to the electron, the transfer must be by photon absorption. (2) The photon.s energy must equal the energy difference `DeltaE` between the initial energy level of the electron and a higher level, according to Eq. 38 - 6 `(hf=DeltaE)`. Otherwise, a photon can not be absorbed. Wavelength : Substituting `c//lambda` for f, we can rewrite Eq. 36-6 as `lambda=(HC)/(DeltaE)`. For the energy difference `DeltaE_(31)` we found in (B), this EQUATION gives us `lambda=(hc)/(DeltaE_(31))` `=((6.63xx10^(-34)J.s)(2.998xx10^(8)m//s))/(4.83xx10^(-17)J)` `=4.12xx10^(-9)m.` |
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