Question

In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1m. When this length is changed to 0.35m, the same tuning fork resonates with the first overtone. Calculate the end correction.

Answer 1

The end correction is 0.025m

Length of air column = l1 = 0.1 (Given)

Change in length = 0.35m (Given)

Let the end correction of a closed organ pipe be = e.

Thus,

Fundamental mode = 4 ( l1+e) = 4 ( 0.1 + e)

Now, for first overtone = 3v/ 4 ( 0.35 +e)

According to the question -  

v/ 4 ( 0.1 + e) = 3v/ 4 ( 0.35 +e)

0.35 + e = 0.3 + 3e

e = 0.025

Therefore, the end correction is 0.025m