Transverse waves y₁ = A₁ sin(k₁x − ω₁t) and y₂ = A₂ sin(k₂x − ω₂t), with A₂ A₁, start at opposite ends of a long rope when t = 0. The magnitude of the maximum displacement, y, of the rope at any point is

Question

Transverse waves y₁ = A₁ sin(k₁x − ω₁t) and y₂ = A₂ sin(k₂x − ω₂t), with A₂ > A₁, start at opposite ends of a long rope when t = 0. The magnitude of the maximum displacement, y, of the rope at any point is

Quizplus · Accepted Answer

The magnitude of the maximum displacement is given by the sum of both waves' amplitudes because they are starting at opposite ends and interfering constructively. Therefore, the answer is A₁ + A₂.

Transverse Waves Y1 = A1 Sin(k1x − ω1t) and Y2

Transverse Waves Y₁ = A₁ Sin(k₁x − ω₁t) and Y₂