JEE Physics · Hard

Simple Harmonic Motion: SHM Equation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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SHM EquationHardQuestion 31169

Question

x₁ = A sinωt and x₂ = A sin(ωt + π/3). The resultant x = x₁ + x₂ has amplitude:
  1. A
    A
  2. B
    A√3
    Correct
  3. C
    2A
  4. D
    A√2

Correct answer

A√3

Explanation

Two SHM of same amplitude A with phase difference π/3. Resultant amplitude = 2A cos(π/6) = 2A × (√3/2) = A√3.