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At t = 0, a source of sonic oscillations...

At `t = 0`, a source of sonic oscillations `S` and on observer `O` start moving along `x` and `y` axes with `5 m//s` and `10 m//s`. The figure shows their positions at `t = 0`. If frequency of source is `1000 Hz`. Find the frequency of singals received after `5` second. `V_(sound) = 330 m//sec`.

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Verified by Experts

The correct Answer is:
`(33sqrt(13)+12)/(33sqrt(13)-1.5) equiv 1030 Hz`
There apparent frequency is
`f' = ((v + v_(0)cosbeta)/(v - v_(S) cosalpha))f`

`[(330+(10xx(50)/(25sqrt(13))))/(330-(5xx(75)/(25sqrt(13))))]xx1000`
`= 1030 Hz`
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