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A police car with a siren of frequency 8kHz is moving with...

A police car with a siren of frequency 8kHz is moving with uniform velocity 36 km/h towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren heard by the car driver is

8.50kHz

8.25kHz

7.75kHz

7.50kHz
Solution:


Apparent frequency of sound heard by car driver (observer) reflected from the building will be

f′=f(v+v0v−vs)=8(320+10320−10)=8.5kHz

∴ Correct option is (a).
Analysis of Question
(i) Question is simple.
(ii) Driver will listen two sounds, direct and reflected. Direct sound will be of 8kHz as driver has no relative motion with the car. But reflected sound is of increased frequency because driver and image of car both are approaching towards each other.