“Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their phase difference is 60.0°. What is the

Question

“Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their phase difference is 60.0°. What is the resultant amplitude?”

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Kiệt Gia 5 months 2021-08-09T20:07:26+00:00 1 Answers 54 views 0

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    2021-08-09T20:09:13+00:00

    Answer:

    The resultant amplitude of the two waves is 2.65.

    Explanation:

    Given;

    amplitude of the first wave, A₁ = 1

    amplitude of the second wave, A₂ = 2

    phase difference of the two amplitudes, θ = 60.0°.

    The resultant amplitude of two waves after interference is given by;

    A = \sqrt{A_1^2 + A_2^2 + 2A_1A_2Cos \theta} \\\\A = \sqrt{1^2 + 2^2 + 2(1)(2)Cos 60} \\\\A= 2.65

    Therefore, the resultant amplitude of the two waves is 2.65.

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