STANDARDPhysics-Oscillations
STANDARD Physics Simple Harmonic Motion MCQ Question
Type: MCQ-conceptual-Medium-Class 11
The displacement of a particle varies with time according to the relation y = a sin ωt + b cos ωt.
A
The motion is oscillatory but not SHM.
B
The motion is SHM with amplitude a + b.
C
The motion is SHM with amplitude a² + b².
D
The motion is SHM with amplitude √(a² + b²).
Correct Answer
Option D
Detailed Explanation
Given y = a sin ωt + b cos ωt, let a = A cos φ and b = A sin φ. Then, y = A sin(ωt + φ), which is the equation of SHM with amplitude A = √(a² + b²).
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