. Which organ pipe produces a better quality sound: a closed pipe or open pipe

 Which organ pipe produces a better quality sound: a closed pipe or open pipe?
Ans: The quality of sound depends upon the number of harmonics or overtones present in it. In an open organ pipe, the frequencies of the waves formed are given by fn=nf₁, where f₁ is the fundamental frequency and n = 1, 2, 3, 4….
But in case of a closed organ pipe, the frequencies of the waves formed are given by fn = (2n+1)f₁, where f₁ is the fundamental frequency and n=0, 1, 2, 3….
So, even if the fundamental frequencies are equal, the subsequent frequencies possible in open pipes have fewer intervals whereas the intervals are large in closed pipes. So, a person would feel that sound from opne pipe is better than from closed pipes.