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Problems Problem 1.If an electron makes a transition from the n = 4 to the n = 1 Bohr orbital in a hydrogen atom, determine the wavelength of the light emitted and the recoil speed of the atom. Solution: To determine the wavelength, we use = R With R = 1.097 x 107 m, ni = 4 , and nf = 1 , we find = 97.2 nm. This photon carries away momentum given by p = = = 6.62 x 10- 27 , which by momentum conservation must be the recoil momentum of the atom. Using the mass of the hydrogen atom as 1.67 x 10- 27 kg, we find it's speed must be v = = = 4.1 . Thus, the wavelength of the emitted photon is 97.2 nm, while the recoil speed of the hydrogen atom is
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submitted by edison (4866 m) on 19 Apr 2007 15:56:58 IST (0 comments 173 views)
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