How does the wavelength of a light wave change if the frequency is increased by a factor of 4? assume the speed of the wave remains unchanged

The wavelength of light will decrease by a factor of 4 if the frequency of the light is increased by a factor of 4.

The velocity, frequency and wavelength of a wave are related according to the following equation:

Making frequency the subject of the above expression, we have:

 .... (2)

From equation 2,

Frequency is inversely proportional to the wavelength.

This implies that an increase in the frequency will lead to a decrease in the wavelength and also, a decrease in the frequency will lead to an increase in the wavelength.

With the above information in mind, we can conclude that if the frequency of a wave increased by a factor of 4, then, the wavelength of the wave will decrease by a factor of 4.

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