Transverse Waves Y₁ = A₁ Sin(k₁x - $\omega$ ₁t)and Y₂ = A₂ Sin(k₂x -

Multiple Choice

Transverse waves y₁ = A₁ sin(k₁x - $\omega$ ₁t) and y₂ = A₂ sin(k₂x - $\omega$ ₂t) ,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

A) A₁- A₂.
B) A₂- A₁.
C) A₁ + A₂.
D) $\left( A _ { 1 } - A _ { 2 } \right) \frac { k _ { 1 } } { k _ { 2 } }$ .
E) $\left( A _ { 2 } - A _ { 1 } \right) \frac { k _ { 2 } } { k _ { 1 } }$ .