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The lengths of two organ pipes open at b...

The lengths of two organ pipes open at both ends are
`L and L + d`. If they are sounde together, then the
beat frequency will be

A

`(2 Vd)/(L(L + x)) `

B

`(Vd )/(L(L + d)) `

C

`(2L ( L + d))/(Vd) `

D

`(V d)/(2L (L + d)) `

Text Solution

Verified by Experts

The correct Answer is:
D
`n_(1) = V/(2L) " and " n_(2) = V/(2(L + d))`
` :. n_(1) - n_(2) = V/2 [ 1/L - 1/(L + d)] = (V d)/(2L(L + d)) `
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MARVEL PUBLICATION-STATIONARY WAVES-MULTIPLE CHOICE QUESTIONS (HIGHER LEVEL)
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  2. Tube A has both ends open while tube B has one end closed. Otherwise...

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  3. The lengths of two organ pipes open at both ends are L and L + d. If...

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  5. An open pipe is suddenly closed at one end with the result that the fr...

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  10. An open pipe of length 120 cm vibrates in its fundamental mode. At wha...

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  11. A source of sound placed at the open end of a resonance column sends a...

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  12. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

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  13. n(1) is the frequency of the pipe closed at one and n(2) is the freque...

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  14. An organ pipe P(1) open at one end vibrating in its first harmonic and...

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  15. A cylindrical tube open at both ends, has a fundamental frequency f in...

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  16. An open pipe is in resonance in 2nd harmonic with frequency f(1). Now ...

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  17. Two organ pipes having the same internal diameter ( d) but of differen...

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  19. In a pipe opened at both ends n(1) and n(2) be the frequencies corres...

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