What phase difference between two identical traveling waves, moving in the same direction along a stretched string, results in the combined wave having an amplitude 1.703 times that of the common amplitude of the two combining waves? Express your answer in degrees (no need to write the unit).

Question

Karma Krueger

Physics

16 January, 08:05

What phase difference between two identical traveling waves, moving in the same direction along a stretched string, results in the combined wave having an amplitude 1.703 times that of the common amplitude of the two combining waves? Express your answer in degrees (no need to write the unit).

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Answers (1)

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Leroy Bowen · Answer 1

Let the amplitude of individual wave be I and resultant amplitude be 1.703 I. Let the phase difference be Ф in terms of degree

From the formula of resultant vector

(1.703I) ² = I² + I² + 2 I² cosФ

2.9 I² = 2I² + 2 I² cosФ

.9I² = 2 I² cosФ

cosФ =.9 / 2

=.45

Ф = 63.25.