How to find the speed and wavelength

How to find the speed and wavelength

The distance between two points, fluctuating in identical phases, is called wavelength. Phase speed is called the speed of movement of a point with a constant phase of fluctuation. For the dispersing environments also the concept of group speed is entered. Concepts of phase speed and wavelength are its important characteristics.

It is required to you

  • wave number, speed and energy of a particle

Instruction

1. Wavelength is directly connected with its speed. During fluctuation T point with a constant phase will pass a certain distance. This distance can be considered wavelength. Wavelength is designated by a letter? also it is equal? = vT where v is its phase speed. Phase speed of a wave can also be expressed through its wave number k: v = w/k. Wavelength through wave number is expressed as? = 2*pi/k.

2. The period of a wave can be written down through its frequency as T = 1/f. Then? = v/f. It is possible to express wavelength and through circular frequency. By definition the circular frequency is equal to f = to w / (2*pi). From here? = 2*pi*v/w.

3. It agrees corpuscular wave to dualism, the wave called de Broil's wave is also connected with any microparticle. To Volni de Broil are inherent in electrons to protons, neutrons and other microparticles. This wave has a certain length. It is established that de Broil wavelength in inverse proportion to an impulse of a particle and is equal? = h/p where h is a constant Level. Frequency of a wave is directly proportional to energy of a particle:? = To E/h. Phase speed of a wave of de Broil will be equal to E/p

4. In the dispersing environments enter a concept of group speed. For one-dimensional waves it is equal to Vgr = to dw/dk where w is circular frequency, and k is wave number.

Author: «MirrorInfo» Dream Team


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