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The fundamental frequency of an air co...

The fundamental frequency of an air column in a pipe closed at one end is 100 Hz. If the same pipe is open at both the ends, the frequencies produced in Hz are

A

`100, 200, 300, 400, "….."`

B

`100, 300, 500, 700, "……"`

C

`200, 300, 400 , 500, "……"`

D

`200, 400, 600, 800, "….."`

Text Solution

Verified by Experts

The correct Answer is:
D
For a closed pipe fundamental frequency,
`v_(1) = v/(4L) = 100 Hz`
For an open pipe fundamental frequency,
`v_(1) = v/(2L) = 200 Hz`
In a pipe open at both ends, all multiples of the fundamental are produced.
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Knowledge Check

  • The fundamental frequency of a pipe closed at one end is 100Hz. If close end is open the fundamental frequency of same pipe wil be

    A
    100 Hz
    B
    200 Hz
    C
    50 Hz
    D
    400 Hz

  • The fundamental frequency of a pipe closed at one end is 20 Hz. What is the ratio of the frequencies of the third and fifth overtones ?

    A
    `3 : 5`
    B
    ` 7 : 11`
    C
    ` 11 : 7`
    D
    ` 5 : 3`

  • If the fundamental frequency of a pipe closed at one is 512 H_(Z) . The frequency of a pipe of the same dimension but open at both ends will be

    A
    `1024 h_(Z)`
    B
    `512 H_(Z)`
    C
    `256 H_(Z)`
    D
    `128 H_(Z)`

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