An observer and a source emitting sound of frequency \(120 \mathrm{~Hz}\) are on the \(X\)-axis. The observer is stationary while the source of sound is in motion given by the equation \(x=3 \sin \omega t\) ( \(x\) is in metres and \(t\) is in seconds). If the difference between the maximum and minimum frequencies of the sound observed by the observers is \(22 \mathrm{~Hz}\), then the value of \(\omega\) is ( ppeed of sound in air \(=330 \mathrm{~ms}^{-1}\) )

1. A \(33 \mathrm{rad} \mathrm{s}^{-1}\)
2. B \(36 \mathrm{rad} \mathrm{s}^{-1}\)
3. C \(20 \mathrm{rad} \mathrm{s}^{-1}\)
4. D \(10 \mathrm{rad} \mathrm{s}^{-1}\)