Question

204.The equation of a plane progressive wave y=0.9 sin4pie(t-x/2) when it is reflected at a rigid support, its amplitude becomes 2/3 of its previous value.The equation of the reflected wave is

Answer 1

$$\begin{gathered} Thegiveneqnisy=0.9\sin \left(4\pi t-2\pi x\right) \\ Whenitisreflectedatarigidsupport,itsamplitude=a=\frac{2}{3}\times 0.9=0.6 \\ and\left(4\pi t-2\pi x\right)isreplacedas\left(4\pi t+2\pi x\right)afterreflection,soeqnofthereflectedwaveis \\ y=0.6sin\left(4\pi t+2\pi x\right) \end{gathered}$$