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Question

If the wavelength of a wave in a medium decreases, it's frequency

A
remains unchanged.
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B
also decreases.
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C
increases.
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Solution

The correct option is C increases.

In a medium, the velocity of a sound wave is fixed if the medium's properties are not changed

We know, v = λ f

Where, v = wave velocity

λ = wavelength

f = wave frequency

So, if v is constant and wavelength is decreased you don't need physics to tell you what will happen to its frequency.

v = λf

The frequency will have to increase to keep the velocity constant.


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