Question

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.

Answer 1

A.The Frequency decreases by a factor of 2.

Answer 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* \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 (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 ".