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A whistle of frequency 500 Hz tied to th...

A whistle of frequency 500 Hz tied to the end of a string of length 1.2 m revolves at 400 rev / min . A listener standing some distance away in the plane of rotation of whistle hears frequencies in the range (speed of sound = 340 m / s )

A

436 to 574

B

426 to 586

C

426 to 574

D

. 436 to 586

Text Solution

Verified by Experts

The correct Answer is:
d
`v_(s)=romega=1.2xx2pif " " [because omega=2pif]`
`=1.2xx2xx3.14xx((400)/(60))=50m//s`
`v_("min")=(v)/(v+v_(s)).v`
`=(340)/(340+50)xx500`
`=436Hz`
`v_("max")=(v)/(v-v_(s)).v`
`=(340)/(340-50)xx500`
`=586Hz`
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