Answer :
Final answer:
If a wavelength is short, the energy and frequency are high (option A) due to the inverse relationship between wavelength and frequency, and the direct proportional relationship between energy and frequency.
Explanation:
In general, if a wavelength is short, the correct answer is A- the energy and frequency are high. This is due to the inverse relationship between wavelength and frequency as described by the wave equation, where frequency is inversely proportional to the wavelength.
Consequently, higher frequencies correspond with shorter wavelengths. Moreover, using the Planck relation, we know that the energy of a photon is directly proportional to its frequency; therefore, a higher frequency means higher energy.
Examples can be seen in types of electromagnetic radiation such as X-rays, which have much shorter wavelengths and higher frequencies compared to visible light, indicating that they also carry more energy. This relationship is crucial for understanding various physical phenomena, including the behavior of light, sound, and other waves.
