A beam of white light of a certain frequency is incident on a metal surface. If the work function of this surface is 2.20 eV, what frequency of light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? A) 2.05 × 10¹⁴ Hz B) 1.02 × 10¹⁴ Hz C) 2.50 × 10¹⁴ Hz D) 3.53 × 10¹⁴ Hz E) 5.92 × 10¹⁴ Hz

Question

Quizplus · Accepted Answer

The energy of the incident light must be equal to the work function plus the maximum kinetic energy of the photoelectrons. Using the equation E = hf, where h is Planck's constant (4.135667696 × 10^-15 eV·s), we find the frequency: f = (2.20 eV + 0.25 eV) / (4.135667696 × 10^-15 eV·s) = 5.92 × 10^14 Hz.

A Beam of White Light of a Certain Frequency Is