JEE Physics · Hard

Simple Harmonic Motion: Superposition of SHM MCQ

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

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Superposition of SHMHardQuestion 31174

Question

Two perpendicular SHMs of same frequency and 90° phase difference produce:
  1. A
    Linear motion
  2. B
    Circular motion (if amplitudes equal)
  3. C
    Elliptical motion (if amplitudes unequal)
  4. D
    Both B and C
    Correct

Correct answer

Both B and C

Explanation

x = A sinωt, y = B sin(ωt+π/2) = B cosωt. If A = B: circle (x²+y²=A²). If A ≠ B: ellipse (x²/A²+y²/B²=1).