MHT-CET : Physics Entrance Exam

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9.

Resonance Tube Experiment

With the help of this experiment, the velocity of the sound at room temperature or the unknown frequency of a tuning fork can be determined.
Construction: The resonance tube is a hollow tube, open at both ends. The tube is clamped vertically with its lower end immersed in water in a glass jar. The length of the air column can be changed.

Working:

• A vibrating tuning fork is held near the upper end of the tube. The length of the air column is slowly increased by gradually raising the tube.
• Resonance between the vibrating tuning fork and the vibrating air column is obtained for a particular length of the air column.
• This length (l) of the air column and the inner diameter of the tube is measured.

At resonance, l =

 l 4

Applying end correction

l + e =

 l 4

\ l = 4 (l + e) = 4 (l + 0.3 d)
If
n: frequency of the tuning fork, velocity of sound v = n l = 4n (l + 0.3 d)

Elimination of End Correction in a Resonance Tube Experiment

for 1st resonance l + e =

 l 4

for 2nd resonance l1 + e =

 3l 4

\ l = 2 (l1 - l)
\ V = 2n (l1 - l)
Hence, velocity of sound in air can be determined without finding the end correction.

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