Write Einstein's photoelectric equation and mention which important features in photoelectric effect can be explained with the help of this equation.
The maximum kinetic energy of the photoelectrons gets doubled when the wavelength of light incident on the surface changes from λ1 to λ2. Derive the expressions for the threshold wavelength λ0 and work function for the metal surface.
State two important features of Einstein's photoelectric equation.
Einstein's photoelectric equations is given by
Kmax = Maximum kinetic energy of the photoelectron
vmax = Maximum velocity of the emitted photoelectron
m = Mass of the photoelectron
ν = Frequency of the light radiation
ϕ0 = Work function
If ν0 is the threshold frequency, then the work function can be written as
ϕ0 = hν0
The above equations explains the following results:
1. If ν < ν0, then the maximum kinetic energy is negative, which is impossible. Hence, photoelectric emission does not take place for the incident radiation below the threshold frequency. Thus, the photoelectric emission can take place if ν > ν0.
2. The maximum kinetic energy of emitted photoelectrons is directly proportional to the frequency of the incident radiation. This means that maximum kinetic energy of photoelectron depends only on the frequency of incident light.
According to the photoelectric equation,
Let the maximum kinetic energy for the wavelength of the incident λ2 be K'max
Form (i) and (ii), we have