Correct answer: 4000 Å
The energy of a photon is given by E = hc/λ. For a band gap of 2.5 eV, the maximum wavelength it can detect is λ = hc/E = (12400 Å·eV) / 2.5 eV = 4960 Å. Thus, the photodiode can detect wavelengths shorter than 4960 Å, and 4000 Å is within this range.