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 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 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 frequency 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 amplitude would decrease, but the frequency would be unchanged.

Answer 1

The correct response is: The frequency would increase and the wavelength would decrease, but the amplitude would be unchanged.

When the students move the ends of the rope faster while maintaining the same distance of up-and-down movement, they create more waves in the same amount of time, which means the frequency is higher. As frequency increases, the wavelength decreases because the waves are packed closer together. The amplitude, which refers to how high the wave peaks are, remains unchanged if the students are moving the ends of the rope the same distance as before.