Physics - Sound Wave Question with Solution | TestHub

For resonance to occur, the frequency must be an integral multiple of the fundamental frequency.

Given the fundamental frequency $n=288$ Hz.

The resonant frequencies will be:
$1n=288$ Hz
$2n=2\times 288=576$ Hz
$3n=3\times 288=864$ Hz

Since $844$ Hz is not an integral multiple of $288$ Hz, the tuning fork will not resonate with it.