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

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