A wave having an amplitude of 3cm is to be superimposed with another wave of the same amplitude. What should be their phase difference if the net amplitude has to be 0?(a) π/2(b) π(c) 2π(d) 0This question was posed to me in quiz.This intriguing question comes from Principle of Superposition of Waves topic in section Waves of Physics – Class 11

A wave having an amplitude of 3cm is to be superimposed with another w

1.	A wave having an amplitude of 3cm is to be superimposed with another wave of the same amplitude. What should be their phase difference if the net amplitude has to be 0?(a) π/2(b) π(c) 2π(d) 0This question was posed to me in quiz.This intriguing question comes from Principle of Superposition of Waves topic in section Waves of Physics – Class 11
Answer» The correct answer is (B) π Explanation: The net amplitude is GIVEN by: A^2 = A1^2 + A2^2 + 2A1A2cosθ, where θ is the PHASE difference. For A to be ZERO 9 + 9 + 2(9)(9)cosθ = 0 ∴ θ = π.

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