Question

The equation for a wave travelling in x-direction along a string is \( y = (7\,\text{cm}) \sin[(\pi\, \text{cm}^{-1})x - (100\, \text{s}^{-1})t] \). The maximum velocity of a particle of the string is:

• A. \(7\pi \, \text{cm s}^{-1}\)
• B. \(22 \, \text{m s}^{-1}\)
• C. \(11 \, \text{m s}^{-1}\)
• D. \(100\pi \, \text{cm s}^{-1}\)

Hint:

In wave motion \(y = A\sin(kx - \omega t)\), particle speed is \(v_{\max} = A\omega\).

Answer 1

The Correct Option is B