Q.

A car C blowing a horn of frequency 650 Hz is moving at a speed of 25 m/sec on a straight path CP. A person is standing at a point O at a distance of 40 m perpendicular to CP as shown in figure. When car is 30 m away from P, the apparent frequency of sound as heard by the person is  (Vsoud=345 m/sec)

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a

625 Hz

b

650 Hz

c

675 Hz

d

680 Hz

answer is D.

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Detailed Solution

Here the observer is at rest and source is in motion and observer will receive  sound at a component of source velocity.OC=302+402=50 m ucosθ=25cosθ=25×CPCO=25×3050=15 m/sec Apparent Frequency n1=nVV−ucosθ=650×345345−15=680 Hz
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A car C blowing a horn of frequency 650 Hz is moving at a speed of 25 m/sec on a straight path CP. A person is standing at a point O at a distance of 40 m perpendicular to CP as shown in figure. When car is 30 m away from P, the apparent frequency of sound as heard by the person is  (Vsoud=345 m/sec)