A stationary source produces a sound wave at a frequency of 100 Hz. The wave travels at 1125 feet per second. A car is moving toward the sound source at a speed of 200 feet per second.

What is the wavelength of the stationary sound source and the wavelength that a person in the car perceives?
(1 point)
wavelength of the stationary source: 9.25 ft; perceived wavelength:
11.25 f
wavelength of the stationary source: 11.25 ft; perceived wavelength:
13.25 ft
wavelength of the stationary source: 13.25 ft; perceived wavelength:
11.25 f
wavelength of the stationary source: 11.25 ft; perceived wavelength:
9.25 f

1 answer

The wavelength of the stationary sound source can be calculated using the formula: wavelength = speed of sound / frequency. Therefore, the wavelength of the stationary source is 1125 ft/s / 100 Hz = 11.25 ft.

The perceived wavelength by a person in the car can be calculated using the formula: perceived wavelength = (speed of sound + speed of the car) / frequency. Therefore, the perceived wavelength is (1125 ft/s + 200 ft/s) / 100 Hz = 13.25 ft.

Therefore, the correct answer is:
wavelength of the stationary source: 11.25 ft; perceived wavelength: 13.25 ft.