The siren on an ambulance is emitting a sound whose frequency is 2150 Hz. The sp

Question

The siren on an ambulance is emitting a sound whose frequency is 2150 Hz. The speed of sound is 343 m/s.

(a) If the ambulance is stationary and you (the "observer") are sitting in a parked car, what are the wavelength and the frequency of the sound you hear?

(b) Suppose that the ambulance is moving toward you at a speed of 26.1 m/s. Determine the wavelength and the frequency of the sound you hear.

(c) If the ambulance is moving toward you at a speed of 26.1 m/s and you are moving toward it at a speed of 12.0 m/s, find the wavelength and frequency of the sound you hear.

Explanation / Answer

use the relation V = Lf

so L = V/f

here f f requency=2150Hz

then L = wavelength =343/2150

L =0.1595 m

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(b) using formula from Doppper effect

fnew = fo (V/V-Vs)

fnew = 343*2150/(343-26.1)

fnew = 2327.04 Hz

wavelength = 343/2327.04

L = 0.147 m

(c) here Fnew = fo * (V +Vs)/V

fnew = 2150 * (343+ 12)/(343 - 26.1)

fnew = 2408.488

Wavelength = L = V/f = 343/2408.488

L = 0.1424 m

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