Question

# Write Einstein's equation of photoelectric effect. Give Einsteins explanation of photoelectric effect.

Solution

## Einstein's equation of photoelectric effect is $$E_k=h\nu-\phi=h\dfrac{c}{\lambda}-\phi$$where $$h=constant,c= \text{speed of light},\lambda=\text{wavelength of light,}\phi={\text{work function of the metal}}$$On the basis of the Einstein's equation,When ray of light is incident on the metal surface, then it absorbs this energy and emmits the electron from the surface of the metal.Some time electron is not ejected because incident energy is less than the work function of the metal.The maximum kinetic energy of the emerging electrons is independent of intensity of incident radiation but depends linearly on the frequency of the radiation,Electrons start emitting immediately after the light shines on surface without detectable time delayFor a given frequency of incident radiation, above $$\nu_o$$, the number of electrons emitted per unit time is proportional to the intensity of incident radiation. Physics

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