The equations of two waves are given by : y 1 = 5 sin 2 π x - v t cm y 2 = 3 sin 2 π x - v t + 1 . 5 cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

Step-by-step solution

Given equations can be written as, y 1 = 5 sin 2 π x - 2 π v t   cm and y 2 = 3 sin 2 π x - 2 π v t + 3 π   cm From the given equations we can conclude that the phase difference between the waves is 3 π i.e. odd multiple of π . Therefore, destructive interference will happen. A = A 1 - A 2 = 2   cm