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Light from a discharge tube containing hydrogen atoms falls on the surface of a piece of sodium. The kinetic energy of the fastest photo-electrons emitted from sodium is 0.73 eV. The work function for sodium is 1.82 eV. Find:

(a) the energy of the photons causing the photo-electric emission.

(b) the quantum number of the two levels involved in the emission of these photons.

(c) the change in the angular momentum of the electron in the hydrogen atom in the above transition.

(d) the recoil speed of the emitting atom assuming it to be at rest before the transition (Take mass of hydrogen = 1.6 x 10-27 kg)

1 Answer

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Hence, quantum levels involved are 4 and 2.

(d) If p = linear momentum

If v = recoil speed of hydrogen atom of mass M then from conservation of linear momentum

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