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Q.

Two cars are moving towards each other with speeds of 20 m/s and 15 m/s relative to the ground. The first car sounds a horn of frequency 600 Hz, the frequency of the horn heard by a passenger in the second car before they meet is (the speed of sound in air is 340 m/s)

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a

600 Hz

b

585 Hz

c

645 Hz

d

666 Hz

answer is D.

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Detailed Solution

The perceived frequency f′ is related to the actual frequency fo and the relative speeds of the source vs of waves in the medium is given by f′=fov+v0v−vsGiven,v=340m/s, vo=15m/s,vs=20m/s∴f′=600×340+15340−20=355320×600=666Hz
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