dual-nature-of-radiation-and-matter Question 2

Question: Q. 2. Consider a beam of electrons (each electron with energy $E_{0}$ ) incident on a metal surface kept in an evacuated chamber. Then,

(a) no electrons will be emitted as only photons can emit electrons

(b) electrons can be emitted but all with an energy, $E_{0}$

(c) electrons can be emitted with any energy, with a maximum of $E_{0}-\phi$ ( $\phi$ is the work function) (d) electron can be emitted with energy, with a maximum of $E_{0}$

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Solution:

Ans. Correct option : (d)

Explanation: If a beam of electrons of having energy $E_{0}$ is incident on a metal surface kept in an evacuated chamber.

Light

The electrons can be emitted with maximum energy $E_{0}$ (due to elastic collision) and with any energy less than $E_{0}$, when part of incident energy of electron is used in liberating the electrons from the surface of metal.

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