If the energy of a photon is doubled, which property is also doubled?

• A. Amplitude
• B. Wavelength
• C. Frequency
• D. Intensity

Answer: (C)

When the energy of a photon is doubled, the frequency of that photon also doubles, which is why the choice indicating frequency is correct. This relationship is derived from the equation that relates the energy of a photon to its frequency, given by (E = hf), where (E) is the energy, (h) is Planck's constant, and (f) is the frequency. According to this equation, if the energy (E) increases, the frequency (f) must also increase proportionally. Therefore, when the energy is doubled, the frequency doubles as well.

In contrast, the amplitude of the wave, which corresponds to the intensity of the light, is not directly related to the energy of a single photon in this context. The wavelength, which is related to frequency through the equation (c = \lambda f) (where (c) is the speed of light), inversely changes with frequency, meaning that if frequency increases, wavelength decreases. Intensity relates to the power per unit area and depends on the number of photons and their energy but does not necessarily double with the energy of each individual photon. Thus, frequency is uniquely tied to the changes in energy of a photon, reinforcing the correctness