A tuning fork, placed in a room, vibrates according to the equation: \(Y=(10^{-4}~\text m)\sin\Big({\large\frac{2\pi t}{0.01~\text s}}\Big) \) where \(Y\) is the displacement of the tip of a prong. The speed of sound in air is \(330~\text{m/s.}\) The amplitude of vibration of the prong is:
1. \(10^{-4}~\text{m}\)
2. \(2\times10^{-4}~\text{m}\)
3. \(10^{-6}~\text{m}\)
4. \(2\times10^{-6}~\text{m}\)