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Q.

The frequency of the sound of a car horn as perceived by an observer towards whom the car is moving differs from the frequency of the horn by 2.50/6. Assuming that the velocity of sound in air is 320 m/sec, the velocity of car is

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a

8 m/s

b

800 m/s

c

7.5 m/s

d

6 m/s

answer is A.

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Detailed Solution

n′=VV−Vsn given that n=102⋅5100n 102⋅5100n=320320−vsn or 320×100=320×102⋅5−102⋅5vs or 102⋅5vs=320[102⋅5−100]=320×2⋅5 vs=320×2⋅5102⋅5 ≈7.8m/s≈8m/s
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