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A student is performing the experiment o...

A student is performing the experiment of resonance column. The diameter of the column tube is `4cm`. The frequency of the tuning fork is `512 Hz`. The air tempreture is `38@C` in which the speed of sound is `336 m//s`. The zero of the meter scale coincide with the top end of the resonance column tube. when the first resonance ocuurs, the reading of the water level in the column is

A

`14.0` cm

B

`15.2` cm

C

`16.4` cm

D

`17.6` cm

Text Solution

Verified by Experts

The correct Answer is:
B
For the first resonance in a pipe closed at one end.
`n = v/(4(l + x)) ` where x is the end correction.
and ` x = 0.3 D = 0.3 xx 4 = 1.2 ` cm
` :. L + x = v/(4n) `
`:. l + 1.2 = (336 xx 100)/(4 xx 512) = 16.4` cm
` :. l = 16.4 - 1.2 = 15.2` cm
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A student is performing the experiment of resonance column. The diameter of the column tube is 4 cm . The frequency of the tuning fork is 512 Hz The air temperature is 38.^(@) C in which the speed of sound is 336 m//s . The zero of the meter scale coincides with the top end of the resonance column tube. When the first resonance occurs, the reading of the water level in the column is. (a) 14.0 cm (b) 15.2 cm ( c) 6.4 cm (d) 17.6 cm .

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