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An open organ pipe of length L resonates...

An open organ pipe of length L resonates at fundamental frequency with closed organ pipe. Find the length of closed organ pipe.

A

`2L`

B

`L//2`

C

`Lsqrt2`

D

`Lsqrt3//2`

Text Solution

Verified by Experts

The correct Answer is:
B
`f_0=f_cimplies(v)/(2L)=(v)/(4L_c)impliesL_c=L//2`
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Knowledge Check

  • Assertion: An open organ pipe of certain length has the same fundamental frequency as closed organ pipe of half the length. Reason : In case of an open organ organ pipe, at both the ends antinodes are formed while in case of closed organ pipe, at one end antinode and at the other end node is formed.

    A
    Assertion is True, Reason is True, Reason is a correct explanation for Assertion
    B
    Assertion is True, Reason is True, Reason is not a correct explanation for Assertion
    C
    Assertion is True, Reason is False
    D
    Assertion is False but, Reason is True.

  • the fundamental frequency of a closed organ pipe is 50 Hz . The frequency of the second overtone is

    A
    `100 Hz`
    B
    `150 Hz`
    C
    `200 Hz`
    D
    `250 Hz`

  • The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

    A
    `13.2 cm`
    B
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    C
    `12.5 cm`
    D
    `16 cm`

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