What is the relationship between wavelength and frequency of a wave, if its velocity is constant?

Wavelength is directly proportional to the frequency.

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Wavelength is inversely proportional to the frequency.

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Wavelength is directly proportional to the square of the frequency.

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Wavelength is twice the frequency.

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Solution

The correct option is B
Wavelength is inversely proportional to the frequency.

We know that, Speed of a wave is the distance travelled by the wave in one second.

$V e l o c i t y = W a v e l e n g t h \times F r e q u e n c y$

If the velocity of the wave is constant, then

$\Rightarrow W a v e l e n g t h \propto \frac{1}{F r e q u e n c y}$

Or we can say that they are inversely proportional to each other.

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