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Hello, I have this question and I need your guys help. Q: What phase difference

ID: 1666473 • Letter: H

Question

Hello, I have this question and I need your guys help.
Q: What phase difference between two otherwise identicaltraveling waves, moving in the same direction along a stretchedstring, will result in the combined waves having an amplitude 1.5times that of the common amplitude of the two combining waves.Express your answer in (a) degrees, (b) radians, and (c)wavelengths.
Thanks.
Q: What phase difference between two otherwise identicaltraveling waves, moving in the same direction along a stretchedstring, will result in the combined waves having an amplitude 1.5times that of the common amplitude of the two combining waves.Express your answer in (a) degrees, (b) radians, and (c)wavelengths.
Thanks.

Explanation / Answer

A = amplitude of each wave A' = amplitude of combined wave = 1.5A use A' = 2A ¦cos(/2)¦ 1.5 A = 2A¦cos(/2)¦ ¦cos(/2)¦= 0.75 = 2*cos-1(0.75) a) 82.8o b) 1.446 rad c) 0.23

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