Which of the following equations represents the velocity ( v ) of the ejected electrons when a metal is made…

Which of the following equations represents the velocity (v) of the ejected electrons when a metal is made to strike with light of frequency v and the threshold frequency of the metal is v0? me=mass of electron and h is Planck's constant).
  1. v=hv-v0me
  2. v=2hv-v0me
  3. v=hv-v02me
  4. v=hv-v0me

Solution

As in case of photoelectric effect, incident radiation energy is equal to the sum of threshold energy and kinetic energy. 

hv=hv0 + 12mev2v2=2h(v-v0)mev=2h(v-v0)me

Asked in: AP EAMCET 2019 (21 Apr Shift 2)

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