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If p is the momentum of the fastest electron ejected

Question:

If $p$ is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $\lambda$, then for $1.5 \mathrm{p}$ momentum of the photoelectron, the wavelength of the light should be:

(Assume kinetic energy of ejected photoelectron to be very high in comparison to work function)

  1. $\frac{1}{2} \lambda$

  2. $\frac{3}{4} \lambda$

  3. $\frac{2}{3} \lambda$

  4. $\frac{4}{9} \lambda$

Correct Option: , 4

Solution:

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