Question

It we study the vibration of a pipe open at both ends, then the following statement is not true -

• A. Open end will be an antinode
• B. Odd harmonics of the fundamental frequency will be generated
• C. All harmonics of the fundamental frequency will be generated
• D. Pressure change will be maximum at both ends

Answer 1

The correct option is D Pressure change will be maximum at both ends

When pipe is open at both ends then ratio of frequency
(i) v : 2 v : 3 v : 4 v : 5 v
where $v=\frac{v}{2L}$
odd and even both harmonics will present
So, option (a) (b) and (c) are correct.
$\therefore$ pressure variation is minimum at antinode
$\therefore$ (4) is wrong option.