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 is absorbed by a free electron of a metal with a work function .
Options
- AThe electron either does not emerge or it emerges with a kinetic energy of .
- BThe electron is certain to be emitted.
- CThe electron may emerge with a kinetic energy less than .
- DThe electron is certain to be emitted with a kinetic energy of .
Correct answer
C. The electron may emerge with a kinetic energy less than .
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 to . 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 .
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 to . 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 .