The displacement of a particle varies with time according to the relation x = asin ω t + bcos ω t (a) The motion is simple harmonic motion with an amplitude √[3]a² + b² (b) The motion is simple harmonic motion with an amplitude √(a² + b²) (c) The motion is periodic but not simple harmonic motion (d) The motion is simple harmonic with an amplitude (a² + b²)

Answer: (b). Write a = Rcos δ, b = Rsin δ: x = Rsin (ω t + δ). This is SHM with R = √(a² + b²). So the answer is (b).

The displacement of a particle varies with time according to the… | MHT CET 2026 (20 Apr, Shift 2)

Q8MHT CET 2026 · 20 APR · SHIFT 2Medium

Periodic Motion & SHM Basics

The displacement of a particle varies with time according to the relation

$x = a\sin \omega t + b\cos \omega t$

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Answer: (b)

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