Final answer:
The wavelength of visible light is directly related to its hue, which is the color we perceive. The range of visible light wavelengths for humans is approximately 380 nm to 740 nm, influencing the perceived color from red to violet. Hence, the correct option for what wavelength determines is 'd. hue'.
Step-by-step explanation:
The wavelength of visible light is a critical aspect in determining its color, which is also known as its hue. Visible light is a form of electromagnetic radiation, and the color we perceive is dependent on the light's wavelength. Light at the red end of the visible spectrum has longer wavelengths, while light at the violet end has shorter wavelengths. The wavelength of visible light can range between approximately 380 nm and 740 nm, with different wavelengths corresponding to different hues.
Red, for instance, corresponds to longer wavelengths, while blues and violets correspond to shorter wavelengths. On the other hand, the amplitude of a light wave affects the luminous intensity or brightness, but not the hue.
In the context of the question being asked, hue is the correct option, as it is directly determined by the wavelength of the light. Thus, the answer to the student's question is: The wavelength of visible light determines its d. hue.