Off the top of my head, the equation to be used is KEmax = hf-(work function). So h(4.1 times 10^-15) times f(5.0 times 10^15) would equal 20.5 eV. The work function is simply 3.4.
Therefore the answer is 20.5-3.4= 17.1 eV.
The reason they used NOT is because you have to understand what is going on in the problem. The photon energy that is ABSORBED by the solution goes into creating a sound wave which is received by the microphone. As such when they say "the energy meter, based on the photoelectric effect" they are telling you that the sample is losing photons via the photoelectric effect and these are not absorbed by the solution. In the photoelectric effect, energy is used to knock off photons. They are registered by the energy meter and its particular equation must be known.
The reason you most likely missed this problem is because you may have skimmed the paragraph rather than understanding the setup of the experiment.