A progressive wave in a medium is represented by the equation $y = 0.1 \sin \left(10\pi t - \frac{5}{11}\pi…
A progressive wave in a medium is represented by the equation $y = 0.1 \sin \left(10\pi t - \frac{5}{11}\pi x\right)$ where, $y$ and $x$ are in cm and $t$ is in second. The maximum speed of a particle of the medium due to the wave is
1 cms$^{-1}$
10 cms$^{-1}$
$\pi$ cms$^{-1}$
10 $\pi$ cms$^{-1}$
Solution
Maximum particle speed,
$(v_P)_{\text{max}} = \omega A = (10\pi) (0.1) = \pi\text{ cm s}^{-1}$