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Pathshala Nepal
3 years ago Grade -12 (NEB) > Science Physics Acoustic Phenomena, Waves

A car traveling at 20m/s blows its horn which has a frequency of 600 H. A stationary observer notices that the frequency of the horn changes considerably as the car passes by him. Calculate the change in frequency heard by the observer as the car approaches and moves away from the observer.

A car traveling at 20m/s blows its horn which has a frequency of 600 H. A stationary observer notices that the frequency of the horn changes considerably as the car passes by him. Calculate the change in frequency heard by the observer as the car approaches and moves away from the observer. (Given the velocity of sound in air is 330 m/s).

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Pathshala Nepal
3 years ago Answer Link Tribhuvan University > Institute of Science and Technology > B.Sc. (CSIT)

Solution:

Given,
Speed of car (vs) = 20 m/s
Frequency of sound (f) = 600 Hz
Velocity of sound (v) = 330 m/s
Change in the frequency (Δf) = ?

When the car approaches towards stationary observer,

\(f'=\frac v{v-v_s}\cdot f=\frac{330}{330-20}\times600=638.7\) Hz

When the car passes the stationary observer,

\(f''=\frac v{v+v_s}\cdot f=\frac{330}{330+20}\times600=565.7\) Hz

Change in frequency heard by the observer as the car approaches and passes him is,

Δf = f' - f'' = 638.7 - 565.7 = 73 Hz

1

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