Frequency of a wave is one of its major physical characteristics. Frequency of a wave is a number of the full waves or cycles of a wave made in unit of time. If the unit of time is a second, then the frequency of a wave is measured in Hertz (Hz).
It is required to you
- wavelength, wave number, phase speed, energy of a particle
Instruction
1. Let L - wavelength, V - its phase speed, and T period of fluctuations of a wave. Then, by definition, L = VT = V/f where f is wave frequency. Thus through the wavelength and its phase speed the frequency of a wave is expressed on a formula: f = V/L.
2. Through these sizes it is possible to express also the circular frequency of a wave of w. By definition, circular frequency is expressed through f frequency on formula w = 2*pi*f. Then w = 2*pi*V/L.
3. It is possible to find frequency, knowing wave number k = 2pi/L, the return wavelengths. Substituting the value L expressed through this formula in a formula for wave frequency, we will receive: f = k*V / (2pi). Respectively, w = k*V.
4. From the quantum theory it is known that the frequency of any electromagnetic radiation is proportional to energy of the photons making it. The waves connected with a microparticle and displaying its quantum nature are called, de Broil's waves. Frequency of a wave of de Broil is connected with its energy through Planck's constant: f = E/h where h is a constant Level.