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A sound sourse S and observers O(1),O(2)...

A sound sourse S and observers `O_(1),O_(2)` are placed as shown S is always at rest and `O_(1),O_(2)` start moving with velocity `v_(0)` at t=0 at any later instant let `f_(1)` ans `f_(2)` represent apparent frequencies of sound received by `O_(1) and O_(2)` respectively the ratio `f_(1)//f_(2)` is

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A sound source S and observers O_1 O_2 are placed as shown. S is always at rest and O_1,O_2 start moving with velocity V_0 at t=0 . At t=5 sec, f_1 and f_2 represent apparent frequencies of sound received by O_1 and O_2 respectively . The ratio of f_1 and f_2 is

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(i) In a car race sound signals emitted by the two cars are detected by the detector on the straight track at the end point of the race. Frequency observed is 330 Hz and 360 Hz. The original frequency of horn is 300 Hz for both cars. Race ends with the separation of 1000 m between the cars. Assume both cars move with constant velocity and velocity of sound is 330 m/s. Find the time (in seconds) taken by the winning car to finish the race. (ii) A source of sound of frequency f is dropped from rest from a height h above the ground. An observer O_(1) is located on the ground and another observer O_(2) is inside water at a depth d from the ground. Both O_(1) and O_(2) are vertically below the source. The velocity of sound in water is 4V and that in air is V. Find (a) The frequency of the sound detected by O_(1) and O_(2) corresponding to the sound emitted the source initially. (b) The frequency detected by both O_(1) and O_(2) corresponding to the sound emitted by the source at height h//2 from the ground.

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