Write Einstein's photoelectric equation. State clearly how this equation is obtained using the photon picture of electromagnetic radiation.
Write the three salient features observed in photoelectric effect which can be explained using this equation.
Answers
Einstein’s photoelectric equation,
- Kmax=hν−ϕ0 where
Kmax is the max kinetic energy of emitted electrons and ϕ0 is the work function.
According to Planck’s quantum theory, light radiations consist of small packets of energy. Einstein postulated that a photon of energy hv is absorbed by the electron of the metal surface, then the energy is used to liberate electron from the surface and rest of the energy becomes the kinetic energy of the electron.
Energy of photon is,
- E=hv
Where, h = Planck’s constant
- v = frequency of light
The minimum energy required by the electron of a material to escape out of it, is work function.
The additional energy acquired by the electron appears as the maximum kinetic energy ‘Kmax’ of the electron.
Einstein's photoelectric equation
Kmax=eVo
Salient features observed in photoelectric effect: —
The stopping potential and hence the maximum kinetic energy of emitted electrons varies linearly with the frequency of incident radiation.
There exists a minimum cut - off frequency , for which the stopping potential is zero.
Photoelectric emission is instantaneous.
Answer:
Three salient-features (Any three) :
(i) The cut-off potential of the emitted electrons is proportional to v. (ii) The maximum kinetic energy is independent of the intensity of incident radiations. (iii) photoelectric emission of electrons is possible only when, (iv) The emission of electrons is instantaneous.
Explanation:
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