In fact, Lénard found that this was not so. Rather, he found the energies of the emitted electrons to be independent of the intensity of the incident radiation.
So in classical physics, one would expect the current flow to be proportional to the total amount of light energy shone onto the metal - the strength of the beam of light and the time it was shining on the plate would both play a part. But this was NOT found to be the case. It was true that the more light intensity, the more electrons were liberated and the more current was produced. However, whether the current flowed at all depended on the wavelength of the light - there was a sharp 'cut-off' wavelength above which no current at all flowed no matter how strong the beam or how long it shone for!.