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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Photoelectric Effect and Wave–Particle Duality

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Photoelectric Effect and Wave–Particle Duality

A photon of energy h is absorbed by a free electron of a metal with...

A photon of energy hνh\nu is absorbed by a free electron of a metal with a work function ϕ<hν\phi < h\nu.

Options

  1. AThe electron either does not emerge or it emerges with a kinetic energy of hν−ϕh\nu - \phi.
  2. BThe electron is certain to be emitted.
  3. CThe electron may emerge with a kinetic energy less than hν−ϕh\nu - \phi.
  4. DThe electron is certain to be emitted with a kinetic energy of hν−ϕh\nu - \phi.

Correct answer

C. The electron may emerge with a kinetic energy less than hν−ϕh\nu - \phi.

Step-by-step solution

According to Einstein's photoelectric equation, the maximum kinetic energy of an emitted photoelectron is given by K_\max = h\nu - \phi.

This maximum kinetic energy corresponds to the electrons emitted from the surface without suffering any collisions.

However, when a photon is absorbed by an electron deeper inside the metal, the electron may suffer collisions with other atoms or electrons before reaching the surface, thereby losing a part of its energy.

As a result, the kinetic energy of the emitted electron can be any value ranging from 00 to hν−ϕh\nu - \phi. It is also possible that the electron loses so much energy that it does not emerge at all.

Therefore, the electron may emerge with a kinetic energy less than hν−ϕh\nu - \phi.
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