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

Verified Answer :

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 :

\(v= u\times \lambda\)

Where

υ is the frequency of the wave

and λ is the wavelength of the wave.

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

\(u\propto \dfrac{1}{\lambda}\)

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 ".