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Wavelength of a photon carrying excess energy from a collision

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A photon of 156.0689 nm electromagnetic radiation encounters an electron in the n = 2 orbital of a hydrogen atom, and causes it to 'jump' to the n = 3 orbital. What will be the wavelength of a photon which carries away any excess energy from the collision?

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The solution determines the wavelength of a photon carrying excess energy from a collision.

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