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An electron an a hydrogen like species makes a transition from the oth Bohr orbit to the next outer Bohr `(-=n + 1)` .Find an appocimate relation between the dependence of the frequency of the photon abserbed as a function of n .Assume n its to have a large value `(ngt gt1)` |
Answer» `overset(Delta E_("energy difference"))underset((n rarr n + 1))=hv` `= 2.18 xx 10^(-18) xx Z^(2)((1)/(n^(2)) - (1)/((n+1)^(2)))J` `rArr hv = 2.18 xx 10^(-18) xx Z^(2)((2n + 1)/(n^(2)(n+1)^(2))) J` Since `n gt gt1` (given) `n + 1~ n, 2n +1 ~~ 2n` `rArr hv= 2.18 xx 10^(-18)Z^(2) xx (2n)/(n^(4)) J` `rArr v prop n^(-3)` |
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