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A closed pipe 28 cm long is filled with ...

A closed pipe 28 cm long is filled with a gas and is in resonance with a tuning fork. If a 42 cm long open pipe filled with air is in unison with the same fork, find the velocity of sound in the gas. (Velocity of sound in air at the temperature `= 350 ms^(-1)`)

Text Solution

Verified by Experts

The correct Answer is:
`466.7 ms^(-1)`
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A pipe of length 1.5 m closed at one end is filled with a gas and it resonates at 30^(@)C in its fundamental with a tuning fork. Another pipe of the same length but open at both ends and filled with air and it resonates in its fundamental with the same tuning fork. Calculate the velocity of sound at 0^(@)C in the gas, given that the velocity of sound in air is 360 m s^(-1) at 30^(@) .

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Knowledge Check

  • A closed air column 32 cm long is in resonance with a tuning fork . Another open air column of length 66 cm is in resonance with another tuning fork . If the two forks produce 8 beats//s when sounded together , find the speed of sound in the air

    A
    `33792 cm//s`
    B
    `35790 cm//s`
    C
    `31890 cm//s`
    D
    `40980 cm//s`

  • Two open pipes of length 20cm and 20.1cm produces 10 beats/s. The velocity of sound in the gas is

    A
    `804ms^(-1)`
    B
    `402ms^(-1)`
    C
    `420ms^(-1)`
    D
    `330ms^(-1)`

  • A pipe of length 1.5m closed at one end is filled with gas and resonates in its fundamental mode with a tuning fork . Another pipe of same dimension filled with air resonates in its fundamental mode with same tuning fork. If experiment is performed at 30^@ C (speed of sound in air is 360 m/sec) the velocity of sound at 0^@C in gas is

    A
    580 m/sec
    B
    680 m/s
    C
    880 m/sec
    D
    none

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