Physics, asked by Priyanca, 11 months ago

Derive an expression for the ratio of de-Broglie wavelength associated with the electron orbiting in 2nd and 3rd excited states of H-atom..

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Answered by Anonymous
46

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Second excited state (n=3)

Third excited state (n=4)

We know that,

E=hcλ13.6n2=hcλ13.6n2hc=1λ λ= n2hc13.6

Now,

λ2λ3= n22hc13.6×13.6n32hcλ2λ3=n22n23=(3)2(4)2λ2λ3=916

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