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Question

The horn of a car emits sound with a dominant frequency of 2400 Hz. What will be the apparent dominant frequency heard by a person standing on the road in front of the car if the car is approaching at 18.0 km h−1? Speed of sound in air = 340 m s−1.

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Solution

Given:
Frequency of sound emitted by horn f0 = 2400 Hz
Speed of sound in air v = 340 ms−1
Velocity of car vs = 18 kmh−1 = 18×518 m/s = 5 m/s

Apparent frequency of sound f is given by:

f=vv-vs×f0

On substituting the values, we get:

f=340340-5×2400 =2436 Hz

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