The formula vw=f⋅λ

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 is increased to 10m but the speed of the wave remains the same, the frequency of the wave will decrease, following the inverse relationship between frequency and wavelength in the formula vw=f⋅λ.

Answer 2

A student performs an experiment by ringing a bell in the air and in a pool and measuring the time it takes for a friend to hear the bell. In one or two sentences, make and justify a hypothesis on which medium the friend would hear the bell the fastest.(2 points)

Answer 3

The formula vw=f⋅λ

If the wavelength is increased to 10m but the speed of the wave remains the same, the frequency of the wave will decrease, following the inverse relationship between frequency and wavelength in the formula vw=f⋅λ.

A student performs an experiment by ringing a bell in the air and in a pool and measuring the time it takes for a friend to hear the bell. In one or two sentences, make and justify a hypothesis on which medium the friend would hear the bell the fastest.(2 points)

The friend would hear the bell faster in the air than in the pool because sound waves travel faster in air compared to water.