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Q.

Whistle of frequency 540 Hz rotates in a circle of radius 2m at linear speed of 30 m/s. What is the lowest and highest frequency heard by an observer a long distance away at rest with respect to the centre of  circle? Take speed at sound in air as 330 m/s.

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a

500 Hz, 600 Hz

b

450 Hz, 650 Hz     

c

495 Hz , 594 Hz

d

400 Hz, 500 Hz

answer is C.

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Detailed Solution

Apparent frequency will be minimum when the source is at N and moving away from observe
  Question Image

fmin=[VV+Vs]f              =[330330+30]540            =495Hz
 
Frequency will be maximum when source is at L and approaching the observer
 fmin=[VVVS]f=[33033030]540=594Hz
 

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