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A wave travels at a constant speed. How does the frequency change if the wavelength increases by a factor of 2?

A.The frequency decreases by a factor of 2.Β B.The frequency increases by a factor of 4.Β C.The frequency increases by a factor of 2.Β D.The frequency does not change.

Respuesta :

A.The Frequency decreases by a factor of 2.

Answer : The frequency decreases by a factor of 2.

Explanation :

Given that the wave travels at a constant speed. The speed of the wave is given as :

[tex]v=\nu\times \lambda[/tex]

Where

Ο… is the frequency of the wave

and Ξ» is the wavelength of the wave.

In this case, the speed is constant. So, the relation between the frequency and the wavelength is inverse.

[tex]\nu\propto \dfrac{1}{\lambda}[/tex]

If the wavelength increases by a factor of 2, its frequency will decrease by a factor of 2.

Hence, the correct option is (A) " The frequency decreases by a factor of 2 ".