GRE GR 1777, Problem 010 Solution

Physics GRE GR 1777
10. Quantum Mechanics (Photoelectric effect)
Solution)
The maximum kinetic energy of the emitted electrons is
E_{max} = h\nu -w,
where E_{max} is the maximum kinetic energy of the emitted electrons from the metal surface, \nu is the frequency of light, and w is the work function of the metal.
Also, if we want to stop the emitted electrons, we should put some potential difference onto them. Thus, the previous equation becomes
E_{max} = h\nu -w = qV,
where q is the electric charge, in this problem, should be e. In this equation, we can prove that the potential difference is a linear function of the frequency.
Therefore, the answer is (D).
Reference)
https://en.wikipedia.org/wiki/Photoelectric_effect

Leave a Reply