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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

Respuesta :

AL2006
The product of (wavelength) times (frequency) is always
the same number ... it's the speed of the wave.

So if the speed of the wave doesn't change, the product
of (wavelength) times (frequency) doesn't change.

That means that if the wavelength OR the frequency changes,
the OTHER one has to change by the same factor in the opposite
direction, in order to keep their product unchanged.

If the frequency in INcreased by a factor of 4,
the wavelength must DEcrease by a factor of 4.

If the frequency becomes 4 times as great as it was,
then the wavelength becomes 1/4 as long as it was.

(Please don't say "4 times shorter". That's meaningless and I hate it.)
Eduard22sly

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:

Velocity = wavelength x frequency ..... (1)

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

[tex]Frequency = \frac{Velocity}{wavelength}\\\\[/tex]  .... (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.

Learn more: https://brainly.com/question/14316836

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