The equations in the options
represents Einstein photoelectric
equation EXCEPT
A. Emax = hf – Wo
B. hf = Emax + Wo
C. ½ mv2
= hf − Wo
D. Emax = hf + Wo
The equation that represents Einstein's photoelectric equation is D. Emax = hf + Wo.
To determine which equation represents Einstein's photoelectric equation, let's review the equation itself:
E = hf - φ
where:
E = energy of the photon
h = Planck's constant
f = frequency of the photon
φ = work function (minimum energy required to remove an electron from a material)
Looking at the options:
A. Emax = hf – Wo
This equation is not the same as the photoelectric equation, as it uses "Emax" instead of "E" and "Wo" instead of "φ". Therefore, option A is not correct.
B. hf = Emax + Wo
This equation is also not the photoelectric equation. It rearranges the terms, but the "hf" is on the left side of the equation instead of "E". Therefore, option B is not correct.
C. ½ mv^2
This is the equation for kinetic energy, which is not related to the photoelectric effect. Therefore, option C is not correct.
D. Emax = hf + Wo
This equation matches the form of Einstein's photoelectric equation, where "Emax" represents the maximum kinetic energy of the photoelectrons, "hf" is the energy of the photon, and "Wo" is the work function. Therefore, option D is the correct representation of Einstein's photoelectric equation.
So, the correct answer is D. Emax = hf + Wo.