Question

The formula vw=f⋅λ describes the relationship between the speed of a wave (vw), and its frequency (f) and wavelength (λ). For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s. In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s.

Answer 1

If the wavelength of the wave is increased to 10 m, the frequency of the wave will be 60 Hz

Data obtained from the question

• Wavelength (λ) = 10 m
• Velocity (v) = 600 m/s

• Frequency (f) =?

How to determine the frequency of the wave

The frequency, wavelength and velocity of a wave are related according to the following equation:

Frequency (f) = velocity (v) / wavelength (λ)

f = v / λ

With the above formula, we can obtain the frequency of the wave as follow

f = v / λ

f = 600 / 10

f = 60 Hz

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