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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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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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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