A transverse wave Y =2 (0.01 x +30 t ) moves on a stretched string from one end to another end in 0.5 second. If x and y are in cm and t in second, then the length of the string is

Step-by-step solution

Given Y=2 (0.01 x +30 t ) Comparing with standard equation, aligned Y & = A ( kx + t ), k & =0.01 / cm & =30 rad / s aligned aligned Velocity v & = k = 30 0.01 =3000 ~cm / s Length L & = v t =30 0.5 & =15 ~m aligned