Standing Waves A hollow tube of length L, open at both ends as shown at right, i

Question

Standing Waves

A hollow tube of length L, open at both ends as shown at right, is held in midair. A tuning fork with a frequency f_0 vibrates at one end of the tube and causes the air in the tube to vibrate at its fundamental frequency.

The tube is submerged in a large, graduated cylinder filled with water. The tube is slowly raised out of the water and the same tuning fork, vibrating with frequency f_0, is held a fixed distance from the top of the tube.

Determine the height h of the tube above the water when the air column resonates for the first time. Express your answer in terms of L.

Explanation / Answer

l=lemda/2

v=lemda/f

v=2lfo

h=1/2l

h=lemda/4

lemda=2l

then,

h=2l/4=l/2 is answer.

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