Physics - Sound Wave Question with Solution | TestHub

For an open pipe, the resonant frequencies are all integral multiples of the fundamental frequency.

$f_n=n{f}_1$ where $n=1,2,3,\dots$

Given $f_1=256$ Hz.

The possible resonant frequencies are:

$f_1=256$ Hz

$f_2=2\times 256=512$ Hz

$f_3=3\times 256=768$ Hz

Since $754$ Hz is not an integral multiple of $256$ Hz, the open pipe will not resonate with a tuning fork of frequency $754$ Hz.

Answer: 754 Hz