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In a resonance column method, resonance ...

In a resonance column method, resonance occurs at two successive level of `l_(1)=30.7cm` and `l_(2)=63.2cm` using a tuning fork of `f=512Hz`. What is the maximum error in measuring speed of sound using relations `v=flamda&lamda=2(l_(2)-l_(1))`

A

256 cm/sec

B

92 cm/sec

C

128 cm/sec

D

204.8 cm/sec

Text Solution

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The correct Answer is:
D
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In resonance tube experiment , the velocity of sound is given by v = 2 f_(0) ( l_(2) - l_(1)) . We found l_(1)=25.0 cm and l_(2)=75.0 cm . If there is no error in frequency, what will be the maximum permissible errror in the speed of sound ? (Take f_(0) = 325 Hz )

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Knowledge Check

  • In a resonance tube with tuning fork of frequency 512 Hz , first resonance occurs at water level equal to 30.3cm and second resonance ocuurs at 63.7cm . The maximum possible error in the speed of sound is

    A
    (a) `51.2cm//s`
    B
    (b) `102.4cm//s`
    C
    ( c ) 204.8cm//s`
    D
    (d) `153.6cm//s`

  • If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz , first resonance was observed at 30.7 cm and second was obtained at 63.2 cm , then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332m//s

    A
    `204cm//sec`
    B
    `110cm//sec`
    C
    `58cm//sec`
    D
    `80cm//sec`

  • If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s)

    A
    204 cm/s
    B
    110 cm/s
    C
    58 cm/s
    D
    80 cm/s

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