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Q.

A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from 440 Hz to 480 Hz, when it gets reflected from the wall. If the speed of sound in air is 345 m/s, then the speed of the car is:

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a

18 km/hr

b

36 km/hr

c

54 km/hr

d

24 km/hr

answer is C.

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Detailed Solution

Frequency of s1=cc−ufsNow frequency observed by driver of the car will be =  c+ucfs1=c+uc×cc−ufsAs per given data  480=345+u345−u×440⇒12345−u=11345+u​⇒23u=345​⇒u=34523m/s​∴u=34523×185kmph=54kmph
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