Two waves having equations x₁ = a sin (ωt + φ₁ ), x₂ = a sin (ωt + φ₂ ) If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is
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Question

Two waves having equations x₁ = a sin (ωt + φ₁ ), x₂ = a sin (ωt + φ₂ ) If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is

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G1 Physics · Accepted Answer

Step 1: The resultant of two equal-amplitude waves has amplitude 2a|cos(Δφ/2)|. Step 2: Given resultant amplitude = a, 2|cos(Δφ/2)| = 1, so Δφ/2 = π/3 and Δφ = 2π/3. Final: B.