Question

Two sound waves, A and B, are traveling at the same speed. Wave A has a wavelength of 50 cm and a frequency of 7000 Hz. Wave B has a frequency of 3500 Hz—half the frequency of Wave A. What is Wave B’s wavelength?

14,000 cm
25 cm
100 cm
3500 cm

Answer 1

We know that the speed of both waves is the same, so we can use the formula:

speed = wavelength x frequency

For Wave A:
speed = 50 cm x 7000 Hz
speed = 350 000 cm/s

For Wave B:
3500 Hz = frequency
350 000 cm/s = speed

Now we can rearrange the formula to solve for the wavelength of Wave B:

wavelength = speed / frequency
wavelength = 350 000 cm/s / 3500 Hz
wavelength = 100 cm

Therefore, the wavelength of Wave B is 100 cm.