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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

`195Hz`

B

`205Hz`

C

`190Hz`

D

`210Hz`

Text Solution

Verified by Experts

The correct Answer is:
B
`n_(1)=(V)/(2l)`, `n_(2)=(2V)/(2l)implies(n_(1))/(n_(2))=(1)/(2)impliesn_(2)=2n_(1)`
Given that , `n_(S_(2))implies2n_(s_(1))impliesn_(2)n_(S_(2))` & `n_(S_(1)) lt n_(1)`
`:.n_(1)-n_(S_(1))=5`
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