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Two organ pipes of lengths 65cm and70 c...

Two organ pipes of lengths 65cm and70 cm respectively , are sounded simultaneosly. How many beats per second will be produced between the fundamental of the two pipes ? ( Velocity of sound ` = 330 m //s ) `

Text Solution

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`l_(1) =65cm= 0.65m`
`l_(2) = 70 cm = 0.7 m `
`v = 330 m //s `
No. of beats per second `Delta v = v_(1) - v_(2)`
`= ( v)/(2l_(1))- (v)/(2l_(2)) = ( 330 )/( 2 xx 0.65) - ( 330)/( 2 xx 0.7)`
`:. Delta v = 253.8 - 235 .8 = 18 Hz`
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