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 :

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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Concept:

Photosensitive material are materials which eject electrons when photon of frequency greater than their threshold frequency is incident on the surface.

Einstein's photoelectric equation

ϕ: work function

k = maximum kinetic energy of photoelectrons

Calculation:

As per Einstein's photoelectric equation

ϕ: work function

k = maximum kinetic energy of photoelectrons

As per question, ϕ → 0

Now De-broglie wavelength

Hence Option 4) is correct choice.

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