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Question

What is the relation between wavelength, frequency, and velocity?


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Solution

Step 1: Definition

  1. The number of vibrations per second is known as frequency. It is denoted by f.
  2. The wavelength seems to be the shortest distance over which the wave may be repeated. It is denoted by λ.
  3. The velocity of a wave would be the distance it may travel in one second v.

Step 2: Finding the relation between wavelength, frequency, and velocity

According to the above definitions,

Wavelength=Distancetraveledbythewaveinonetimeperiod that is in Tsecond.

Or,

Wavelength=Wavevelocity×Timeperiod

Or,

λ=v×T

Or, we know T=1n

λ=v×1n

So,

v=

Therefore, the relation between wavelength, frequency, and velocity is v=.


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