Final answer:
The peak frequency of emitted radiation is directly proportional to its absolute temperature due to Wien's displacement law. None of the provided statements about the relationship of frequency with other factors is accurate for electromagnetic radiation. Wavelength and frequency are inversely related, with frequency being inversely proportional to wavelength as the product of the two equates to the constant speed of light.
Step-by-step explanation:
The peak frequency of emitted radiation is directly proportional to the absolute temperature of the emitting body. This proportionality is known as Wien's displacement law, which indicates that the wavelength of the peak emission of a black body gets shorter as the temperature increases (inversely proportional), meaning the frequency increases because the speed of light is constant in vacuum.
As the wavelength of electromagnetic radiation increases, the energy does not increase; instead it decreases because energy is directly proportional to frequency and inversely proportional to wavelength. Therefore, none of the above statements in the reference information are true for this scenario.
The relationship between wavelength, frequency, and the speed of light is given by the equation c = λν, where c represents the speed of light, λ the wavelength, and ν the frequency. Thus, for waves traveling at a constant speed—like electromagnetic radiation in a vacuum—the product of wavelength and frequency will always be equal to the speed of light, making the frequency inversely proportional to the wavelength.