7.3.1 Einstein’s Photoelectric Theory

The behaviour of photoelectrons in the photoelectric effect can be explained by Einsteịn’s photoelectric equation:
$h f=W+\frac{1}{2} m v_{\max }^2$
$h=$ Planck’s constant
$f=$ frequency of incident light wave (photon)
$W=$ work function
$m=$ mass of photoelectrons
$v_{\max }=$ maximum velocity of photoelectrons
Assuming that one photon emits one photoelectron, Einstein’s equation is consistent with the principle of conservation of energy:
$E = W +K_{\max }$
$E =$ energy of incident photon
$W =$ work function
$K_{\max } =$ maximum kinetic energy of photoelectron
In the graph in Diagram below, gradient of the graph = Planck’s constant, $h$ .
Thus, the maximum kinetic energy of photoelectron increases linearly with the frequency of the incident photon.