Unless indicated otherwise,

Chapter 16, Problem 41E

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QUESTION:

Problem 41E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

Two organ pipes, open at one end but closed at the other, are each 1.14 m long. One is now lengthened by 2.00 cm. Find the beat frequency that they produce when playing together in their fundamentals.

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QUESTION:

Problem 41E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

Two organ pipes, open at one end but closed at the other, are each 1.14 m long. One is now lengthened by 2.00 cm. Find the beat frequency that they produce when playing together in their fundamentals.

ANSWER:

Solution 41E

The length of the organ pipes were 1.14 meters.

Among these two, one get lengthened by 2 cm.

So, it’s length is

The frequency in the original pipe can be calculated as,

         .

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