Q.

A source and an observer are situated on two perpendicular tracks as shown in the figure. The observer is at rest and source is moving with a speed 50 m/s. The source emits sound waves of frequency 90 Hz which travel in the medium with velocity 200 m/s. The frequency of sound heard by observer when the source crosses the origin O is

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a

84 Hz

b

88 Hz

c

90Hz

d

96 Hz

answer is D.

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Detailed Solution

When source is at origin, the observer receives the sound emitted by the source, when it was at P.           Such thatcosθ =50t200t =14ν' =VV-Vcosθν  = 200200-50490  = 96
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A source and an observer are situated on two perpendicular tracks as shown in the figure. The observer is at rest and source is moving with a speed 50 m/s. The source emits sound waves of frequency 90 Hz which travel in the medium with velocity 200 m/s. The frequency of sound heard by observer when the source crosses the origin O is