1.

A stationary source emits sound of frequncy f_(0) = 492 Hz. The sound is reflected by a large car approaching the source with a speed of 2 ms^(-1). The reflected signal is received by the source and superposed with the original. What will be the beat frequency of the resulting signal in Hz ? (Given that the speed of sound in air is 330 ms^(-1) and the car reflects the sound at the frequency it has received.) {:(0,1,2,3,4,5,6,7,8,9),(,,,,,,,,,):}

Answer»


Solution :For reflected sound we can assume it to be a case of source and observer approaching towards each other. If U is speed of car and `UPSILON` is speed of sound then FREQUENCY received after reflection can be WRITTEN as follows :
`f = f_(0) ((upsilon + u)/(v - u))`
Beat frequency can be written as follows :
`Delta f = f_(0) ((upsilon + u)/(upsilon - u)) - f_(0)`
`rArr""Delta f = f_(0) (2u)/(upsilon - u)`
Substituting values we get the following :
`rArr""Delta f = 492 xx ((2 xx 2)/(330 - 2)) = 6`


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