As a domain expert in physics, I can explain the relationship between energy and frequency. The connection between these two concepts is described by the equation of Planck-Einstein relation, which states that the energy (E) of a photon is directly proportional to its frequency (ν). The mathematical expression is: \[ E = h \cdot \nu \] Where \( E \) is the energy of the photon, \( h \) is the Planck's constant (approximately \( 6.626 \times 10^{-34} \) joule-seconds), and \( \nu \) is the frequency of the photon. Now, let's address the relationship between frequency and wavelength. The speed of light (c) in a vacuum is a constant, and it is the product of the wavelength (\( \lambda \)) and the frequency (ν): \[ c = \lambda \cdot \nu \] Given that the speed of light is a constant (\( c \approx 3 \times 10^8 \) meters per second), if the frequency increases, the wavelength must decrease to maintain the equality, and vice versa. Therefore, higher frequencies correspond to shorter wavelengths and, according to the Planck-Einstein relation, higher energy. So, to summarize: - The energy of a photon is directly proportional to its frequency. - The wavelength is inversely proportional to the frequency. - Higher frequencies (shorter wavelengths) mean higher energy. read more >>

The greater the energy, the larger the frequency and the shorter (smaller) the wavelength. Given the relationship between wavelength and frequency �� the higher the frequency, the shorter the wavelength �� it follows that short wavelengths are more energetic than long wavelengths.read more >>