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
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.