Question

There are two open organ pipes of exactly the same length and material but different radii. The frequencies of their fundamental notes will be

• A. Wider pipe has lower frequency
• B. Narrower pipe has lower frequency
• C. Both the pipes have same frequency
• D. 2 and 3 are correct

Answer 1

The correct option is A Wider pipe has lower frequency

Frequency for close ended pipe is given as $f=(2n-1)v/4(L+D)$

And frequency of an open ended pipe is given as $f=nv/2(L+1.4D)$

where, n = integer, L = length of the pipe and D = diameter of the pipe.

From these two equations it is clear that if diameter of the pipe increases, the frequency will decrease.