The image shows two

Question

students modeling a light
wave by continuously
moving the ends of the rope
up and down.
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)
The amplitude would
increase and the
frequency would
decrease, but the
wavelength would be
unchanged.
The frequency would
increase and the
wavelength would
decrease, but the
amplitude would be
unchanged.
The wavelength
would increase and

Answer 1

If the students continued moving the ends of the rope up and down the same distance (which means the amplitude remains unchanged), but they moved the ends faster, the following changes would occur:

• The frequency of the waves would increase because the ends of the rope are moving up and down more times per second.
• The wavelength would decrease since the wave speed remains constant, and with an increase in frequency, a decrease in wavelength is required to maintain the relationship given by the formula:

\[ \text{Wave speed} = \text{Frequency} \times \text{Wavelength} \]

Given those points, the correct statement would be:

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