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Question

What is the relation between frequency and wavelength?


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Solution

Step 1: Definition

  1. The distance between the crests as well as troughs of a wave motion has been specified as the wavelength of light. It is denoted by λ.
  2. A repeated event seems to be the number of observations per time interval is called frequency. It is denoted by f and measured in hertz(Hz)

Step 2: Finding the relation between frequency and wavelength

We know the formula of frequency,

f=1t

The distance traveled by a wave per unit of time would be described as its wave speed (v). If we suppose that perhaps the wave traverses one wavelength throughout one time.

then,

ν=λT

As we know that T=1f,

Hence we can express the above equation as,

V=

The wave speed is approximately equivalent to the product of its frequency as well as wavelength, implying the frequency-wavelength connection.

Therefore, the relation between frequency and wavelength is V=.


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