Two Waves Travel Simultaneously Through the Same Medium

question 48

Multiple Choice

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

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