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Question

Which of the following statements is/are true in the context of photoelectric effect?

A
The kinetic energy of ejected electron is independent of the intensity of radiation
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B
It provided an evidence for quantum nature of light
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C
The number of photoelectrons ejected depends upon the intensity of the incident radiation
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D
The kinetic energy of the emitted electrons depends on the frequency of the incident radiation
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Solution

The correct options are
A The kinetic energy of ejected electron is independent of the intensity of radiation
B It provided an evidence for quantum nature of light
C The number of photoelectrons ejected depends upon the intensity of the incident radiation
D The kinetic energy of the emitted electrons depends on the frequency of the incident radiation
The photoelectric effect is the observation that many metals emit electrons when light shines upon them. Electrons emitted in this manner can be called photoelectrons. The photons of a light beam have a characteristic energy proportional to the frequency of the light.

In the photoemission process, if an electron within some material absorbs the energy of one photon and acquires more energy than the work function (the electron binding energy) of the material, it is ejected. If the photon energy is too low, the electron is unable to escape the material. Since an increase in the intensity of low-frequency light will only increase the number of low-energy photons sent over a given interval of time, this change in intensity will not create any single photon with enough energy to dislodge an electron. Thus, the energy of the emitted electrons does not depend on the intensity of the incoming light, but only on the energy (equivalent frequency) of the individual photons.
It is an interaction between the incident photon and the outermost electrons.
Kmax=hfφ, where Kmax=the maximum kinetic energy of an ejected electron, h=Planck constant, f is the frequency of the incident photon.
The term φ is the work function, which gives the minimum energy required to remove a delocalized electron from the surface of the metal. The work function satisfies, φ=hf0 where f0 is the threshold frequency for the metal

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