Step 1: Understanding the photoelectric effect.
The photoelectric effect describes how electrons are emitted from a metal surface when light of sufficient frequency strikes it. The maximum kinetic energy of the emitted photoelectrons is given by the equation:
\[
K_{\text{max}} = h \nu - \phi
\]
where \( h \) is Planck's constant, \( \nu \) is the frequency of the incident light, and \( \phi \) is the work function of the material.
Step 2: Dependence on frequency.
The equation shows that the maximum kinetic energy of the photoelectrons depends directly on the frequency of the incident light. The higher the frequency, the greater the energy of the emitted photoelectrons.
Step 3: Conclusion.
Thus, the maximum kinetic energy of the photoelectrons depends only on the frequency of the incident light, corresponding to option (B).