In an organ pipe closed at one end produces a fundamental note of frequency ' '. The pipe is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are

Question

Quantrex Academy · Accepted Answer

Correct answer: C. 2 , 4

Let the length of the original closed organ pipe be L . The fundamental frequency of the closed organ pipe is given by = v 4L . When the pipe is cut into two equal halves, the length of each half becomes L' = L 2 . One of the halves will be a closed organ pipe (having the original closed end) and the other half will be an open organ pipe (having both ends open). For the closed half, the fundamental frequency is ₁ = v 4L' = v 4(L/2) = v 2L = 2 ( v 4L ) = 2 . For the open half, the fundamental frequency is ₂ = v 2L'

In an organ pipe closed at one end produces a fundamental note of frequency ' '. The pipe is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are

Options

Correct answer

Step-by-step solution

More from Waves and Sound