Three Traveling Sinusoidal Waves Are on Identical Strings, with the Same

Multiple Choice

Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y₁(x,t) = y_msin(3x - 6t) , y₂(x,t) = y_msin(4x - 8t) , and y₃(x,t) = y_msin(6x - 12t) , where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below.

A) y₁: i, y₂: ii, y₃: iii
B) y₁: iii, y₂: ii, y₃: i
C) y₁:i, y₂: iii, y₃: ii
D) y₁: ii, y₂: i, y₃: iii
E) y₁: iii, y₂: i, y₃: ii