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The equation of a standing wave in a string fixed at both ends is given as \( y=2 A \sin k x \cos \omega t \). The
\( \mathrm{P} \) amplitude and frequency of a particle vibrating at

W the mid of an antinode and a node are respectively
(1) \( A, \frac{\omega}{2 \pi} \)
(2) \( \frac{A}{\sqrt{2}}, \frac{\omega}{2 \pi} \)
(3) \( A, \frac{\omega}{\pi} \)
(4) \( \sqrt{2} A, \frac{\omega}{2 \pi} \)
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