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Find the Wavelength of the Electron Orbiting in the First Excited State in Hydrogen Atom.

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Question

Find the wavelength of the electron orbiting in the first excited state in hydrogen atom.

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Solution

For first excited state hydrogen atom is n = 2

Energy of the electron in nth orbit = `−13.6/n^2 eV`

`=13.6/2^2=3.4 eV`

`"Energy" =(hc)/λ=1240/λ`

`3.4 = 1240/λ`
`⇒λ = 364.7 nm`

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2016-2017 (March) Delhi Set 2

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