Question

An open organ pipe has a fundamental frequency of 300 Hz. The first overtone of a closed organ pipe has the same frequency as the first overtone of organ pipe. How long is each pipe?

• A. 41.25 cm
• B. 42.3 cm
• C. 49.5 cm
• D. 40.5 cm

Hint:

For open and closed pipes, remember that the harmonics differ. For the same frequency, the lengths of the pipes can be calculated using the relationship between frequency and harmonic number.

Answer 1

The Correct Option is A

For an open organ pipe, the fundamental frequency is the first harmonic, while for a closed organ pipe, the first overtone is the third harmonic. The frequencies are matched using the formula for harmonics in pipes, and the length of each pipe is calculated.