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Two streams of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:y. The value of x is ______

Asked in JEE Main 26th Feb 2nd Shift 2020 · Speed and kinetic energy of the photoelectrons

Answer: 1

Step-by-step solution

K₁=2φ-φ=φ and K₂=10φ-φ=9φ.

v∝√K, so (v₁)/(v₂)=√φ/(9φ)=1/3.

In the form x:y this is 1:3, so x=1.

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