The image shows two students modeling a light wave by continuously moving the ends of the rope up and down.

Question

Picture of a boy and girl shaking a rope up and down to model a transverse wave.
Source: Oxford Designers & Illustrators Ltd. Pearson Education Ltd

How would the waves change if the students continued moving the ends of the rope up and down the same distance but moved the ends faster?

(1 point)
Responses

The amplitude would increase and the frequency would decrease, but the wavelength would be unchanged.
The amplitude would increase and the frequency would decrease, but the wavelength would be unchanged.

The wavelength would increase and the amplitude would decrease, but the frequency would be unchanged.
The wavelength would increase and the amplitude would decrease, but the frequency would be unchanged.

The frequency would increase and the wavelength would decrease, but the amplitude would be unchanged.
The frequency would increase and the wavelength would decrease, but the amplitude would be unchanged.

The wavelength would increase and the frequency would decrease, but the amplitude would be unchanged.
The wavelength would increase and the frequency would decrease, but the amplitude would be unchanged.

Answer 1

If the students moved the ends of the rope up and down faster while keeping the distance they move the rope the same, the frequency of the waves created would increase because they are generating more wave cycles in the same amount of time. The wavelength, which is the distance between successive peaks of the wave, would decrease as a consequence of the increase in frequency (assuming the wave speed remains constant). The amplitude, which is how high the wave peaks are, would remain unchanged since the distance they are moving the ends of the rope is the same.

So, the correct response is:

The frequency would increase and the wavelength would decrease, but the amplitude would be unchanged.