Two waves travel simultaneously through the same medium. The first wave is described by y₁(x,t) = Acos(kx-ωt) and the second wave by y₂(x,t) = A cos(kx-ωt + φ). If the amplitude of the resulting superposition is A/2, what are the possible values of φ? A)π/6, -π/6 B)π/3, -π/3 C)π/8, -π/8 D)60°, -60° E)π/4, -π/4

Question

Quizplus · Accepted Answer

The amplitude of the resulting wave is given by the formula: 2Acos(φ/2) = A/2. Solving for φ gives φ = ±π/3.

Two Waves Travel Simultaneously Through the Same Medium