An electromagnetic wave of wavelength λ is incident on a photosensitive surface of negligible work function.…

An electromagnetic wave of wavelength  λ  is incident on a photosensitive surface of negligible work function. If  m  mass is of photoelectron emitted from the surface has de-Broglie wavelength λd, then :
  1. λ=2 mhcλd2
  2. λd=2mchλ2
  3. λ=2mchλd2
  4. λ=2hmcλd2

Solution

From Einstein's equation,

Eincident=ϕ+kEmax

hf=0+12mv2

hcλ=p22mp=2mhcλ

λd=hp=h2mhcλ=λh2mc

λ=2mchλd2

Asked in: NEET 2021

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