Verified Solution • 2025–26 Session moderate

QJEEM22Ph4e11: JEE Main 2022 Physics - Class 12 JEEM22Ph4e11 Solution: Two streams of photons, possessing energies equal to five and…

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

Multiple Choice Options

  • A 1:02
  • B 1:03
  • C 2:03
  • D 3:02

Step-by-Step Verified Solution

12mv12=5ϕ−ϕ{1 \over 2}mv_1^2 = 5\phi - \phi

And, 12mv22=10ϕ−ϕ{1 \over 2}mv_2^2 = 10\phi - \phi

⇒(v1v2)2=49\Rightarrow {\left( {{{{v_1}} \over {{v_2}}}} \right)^2} = {4 \over 9}

⇒v1v2=23\Rightarrow {{{v_1}} \over {{v_2}}} = {2 \over 3}

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