Frequency and energy are directly related through Planck's equation:
E=h×fE=h\times fE=h×f
where EEE is the energy of the wave or photon, fff is its frequency, and hhh is Planck's constant (approximately 6.63×10−346.63\times 10^{-34}6.63×10−34 joule-seconds). This means that as the frequency of a wave increases, its energy increases proportionally
. Additionally, frequency and wavelength have an inverse relationship given by:
c=λ×fc=\lambda \times fc=λ×f
where ccc is the speed of light, λ\lambda λ is the wavelength, and fff is the frequency. Since the speed of light is constant, a higher frequency corresponds to a shorter wavelength. Consequently, energy is inversely proportional to wavelength:
E=h×cλE=h\times \frac{c}{\lambda}E=h×λc
So, energy increases when frequency increases or wavelength decreases, and energy decreases when frequency decreases or wavelength increases
. In summary:
- Energy is directly proportional to frequency.
- Energy is inversely proportional to wavelength.
- Higher frequency waves carry more energy.
- Lower frequency waves carry less energy
This relationship is fundamental in quantum mechanics and explains phenomena such as why ultraviolet light (high frequency) has more energy and potential to cause damage than visible light (lower frequency)
