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A closed air column 32 cm long is in res...

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. The two forks produce 8 beats per second when sounded together .
The speed of sound in air

A

`33792 cm*s^(-1)`

B

`35790 cm*s^(-1)`

C

`31890 cm*s^(-1)`

D

`40980 cm *s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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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. The two forks produce 8 beats per second when sounded together . The frequencies of the forks

    A
    230 Hz, 290 Hz
    B
    250 Hz, 300 Hz
    C
    264 Hz, 256 Hz
    D
    150 Hz, 300 Hz

  • An air column in a pipe, which is closed at one end , will be in resonance with a tuning fork of frequency 264 Hz if the length of the column (in cm) is

    A
    31.25
    B
    `62.50`
    C
    93.75
    D
    125

  • A hollow metallic tube of length L closed at one end produces resonance with a tuning fork of frequency v. The tube is heated uniformly, so that the length changes by I. If the change in velocity of sound is v, the resonant frequency is (where v is the speed of sound)

    A
    `(v'+v)/((L-I))`
    B
    `((v'+v))/(4(L+I))`
    C
    `(v'+v)/(4(L+I))`
    D
    `(v'+v)/(2(L+I))`

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    A wire of length 25 cm and mass 2 . 5 g is stretched with a fixed tension. The length of a pipe closed at one end is 40 cm . During vibrations, the first overtone of the wire produces 8 beats per second with the fundamental emitted by the pipe . The number of beats reduces with the decrease in tension in the wire. If the velocity of sound in air is 320 m*s^(-1) , find the tension in the wire.

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