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Two Waves Are Traveling Through a Medium Simultaneously

Question 74

Multiple Choice

Two waves are traveling through a medium simultaneously. The first wave is described by y1(x,t) = Acos(kx-ωt) and the second wave is described by y2(x,t) = 2A sin(kx-ωt) . If the result of the superposition is written in the form y(x,t) = B cos(kx-ωt + φ) , determine B in terms of A.


A) 3A
B) Two waves are traveling through a medium simultaneously. The first wave is described by y<sub>1</sub>(x,t) = Acos(kx-ωt) and the second wave is described by y<sub>2</sub>(x,t) = 2A sin(kx-ωt) . If the result of the superposition is written in the form y(x,t) = B cos(kx-ωt + φ) , determine B in terms of A. A) 3A B) A C) A/3 D) A E) A A
C) A/3
D) Two waves are traveling through a medium simultaneously. The first wave is described by y<sub>1</sub>(x,t) = Acos(kx-ωt) and the second wave is described by y<sub>2</sub>(x,t) = 2A sin(kx-ωt) . If the result of the superposition is written in the form y(x,t) = B cos(kx-ωt + φ) , determine B in terms of A. A) 3A B) A C) A/3 D) A E) A A
E) A

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