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  4. Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be

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Q. Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be

JEE MainJEE Main 2022Dual Nature of Radiation and Matter

Solution:

$ \frac{1}{2} mv _1^2=4 \phi $
$ \frac{1}{2} mv _2^2=9 \phi$
$ \frac{ v _1}{ v _2}=\frac{2}{3}$