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An organ pipe, open from both end produc...

An organ pipe, open from both end produces 5 beats per second when vibrated with a source of frequency 200 Hz . The second harmonic of the same pipes produces 10 beats per second with a source of frequency 420 Hz . The frequency of source is

A

195 Hz

B

205Hz

C

190Hz

D

210Hz

Text Solution

Verified by Experts

The correct Answer is:
B
Let the fundamental frequency of organ pipe be f
Case I: `f=200 pm 5=205 Hz or 195 Hz`
case II: frequency of 2nd harmonic of organ pipe =2f
`2f=420 pm 10 or f =210 pm 5 or f=205 or 215`
Hence fundamental frequency of organ pipe =205 Hz
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