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

Question

Accepted Answer

1. **Displacement at Open Ends:** In an open organ pipe, the air particles at the open ends are free to vibrate with maximum amplitude. Therefore, displacement antinodes are formed at both open ends.
2. **Pressure at Open Ends:** Since the open ends are exposed to the atmosphere, the pressure there remains constant (equal to the atmospheric pressure). This means the pressure variation ($\Delta P$) is zero, making the open ends **pressure nodes**, not pressure antinodes. Thus, the statement that pressure change is maximum at both ends is completely false.
3. **Harmonics Generated:** For a pipe open at both ends, the resonant frequencies are given by $f_n = n\frac{v}{2L}$, where $n = 1, 2, 3, \dots$ . This indicates that all harmonics (both odd and even) of the fundamental frequency are generated.

Step-by-Step Solution

Practice All PHYSICS Questions