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A siren emitting a sound of frequency 10...

A siren emitting a sound of frequency `1000 H_(Z)` moves away from you towards a cliff at a speed of `10 m//s` .
(a) What is the frequency of the sounds, you hear coming directly from the sirven ?
(b) What is the frequency of sounds you hear reflected off the cliff . Speed of sound in air is `330 m//s` ?

Text Solution

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(a) sound heard directly
`f _(1) = f _(0) ((nu)/(nu + nu_(S))) rArr nu_(S) = 10 m//s`
`:. f_(1) = ((330)/(330 +10)) xx1000`
= `970.6 H_(Z)`
(b) The frequency of the reflected sound is given by
`f_(2) = f_(0) ((nu)/(nu - nu_(s)))`
`f_(2) = ((330)/(330 - 10))xx 1000`
=`1031.25 H_(Z)`
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