An Open pipe and a closed pipe have same length. The ratio o... | Physics | SolveeIt | Solveeit

Today, August 23

Question

An Open pipe and a closed pipe have same length. The ratio of $p^{th}$ overtones of two pipes is

A

$\frac{1}{p}$

B

p

C

$\frac{2(p+1)}{2p+1}$

D

$\frac{2p+1}{2(p+1)}$

Answer

$\frac{2(p+1)}{2p+1}$

Explanation

Solution

$n_{open} = \frac{(p + 1)V}{2L} ; n_{closed} = \frac{(2p + 1) V}{4L}$