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NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2022 · Physics · Dual Nature of Matter

The threshold frequency of a photoelectric metal is v_0 . If light...

The threshold frequency of a photoelectric metal is v0v_0. If light of frequency 4v04 v_0 is incident on this metal, then the maximum kinetic energy of emitted electrons will be:

Options

  1. Ahv0h v_0
  2. B2hv02 h v_0
  3. C3hv03 h v_0
  4. D4hv04 h \mathrm{v}_0

Correct answer

C. 3hv03 h v_0

Step-by-step solution

By using Einstein's photoelectric equation, we have, KE=hv−ϕKE=hv−hv0=h(4v0)−hv0=3hv0 where, h= Planck’s constant, vv0= frequencies, and  ϕ= work function. \begin{aligned} & \mathrm{KE}=h v-\phi \\ & \mathrm{KE}=h v-h v_0 \\ & =\mathrm{h}\left(4 v_0\right)-h v_0 \\ & =3 h v_0 \\ & \text{ where, } \quad h=\text{ Planck's constant, } \\ & v & v_0=\text{ frequencies,\text{ and } } \\ & \phi=\text{ work function. } \\ & \end{aligned}
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