Question

The velocity of a given wave remains the same while the wavelength increases. What happens to the frequency of the wave?

A. It increases proportionally to the wavelength.

B. It decreases proportionally to the wavelength.

C. Because frequency is the reciprocal of time it increases.

D. None of the above.

Answer 1

B. It decreases proportionally to the wavelength

Step-by-step explanation:

The relationship between wavelength, velocity, and frequency of a wave is given as;

`f = (v)/(\lambda)`

where;

f is the frequency of the wave

v is the velocity of the wave

λ is the wavelength

From the equation above, the frequency of a wave is inversely proportional to its wavelength. As the wavelength increases, the frequency decreases and vice versa.

Therefore, the correct option is "B"

B. It decreases proportionally to the wavelength