Question

Five organ pipes are described below. Which one has the highest frequency fundamental?

• A. A 2.3 m pipe with one end open and the other closed
• B. A 3.3 m pipe with one end open and the other closed
• C. A 1.6 m pipe with both ends open
• D. A 3.0 m pipe with both ends open

Hint:

The frequency of a pipe is inversely proportional to its length. A shorter pipe produces a higher fundamental frequency.

Answer 1

The Correct Option is C

The fundamental frequency of a pipe is inversely proportional to its length. For a pipe with both ends open, the fundamental frequency is given by: \[ f = \frac{v}{2L} \] where \( v \) is the velocity of sound and \( L \) is the length of the pipe. The shorter the pipe, the higher the frequency. Among the options, the 1.6 m pipe will have the highest fundamental frequency. Hence, the correct answer is (c).