Give anythree differences between progressive waves and stationary waves. A stationary wave is yn - 12 sin 300 t cos 2 x . What is the distance between two nearest nodes ?

Give anythree differences between progressive waves and stationary wav

1.	Give anythree differences between progressive waves and stationary waves. A stationary wave is yn - 12 sin 300 t cos 2 x . What is the distance between two nearest nodes ?
Answer» Solution :2nd part : Given stationary waveis y = 12 sin 300 t COS 2 X . Comparingthis equation with the stationary wave equation , `y = 2 A sin omega t cos k x `we have , k = 2 . So, distance between two consecutive nodes ` = (lambda)/(2)`, where `lambda`isthe WAVELENGTH . So, ` k = (2pi)/(lambda)"or", (2 pi)/(lambda) = 2 "or", (pi)/((lambda//2)) = 2 ` `:. (lambda)/(2) = (pi)/(2)` so the distance between two nearest nodes is `(pi)/(2) ` .