STANDARDPhysics-Oscillations

STANDARD Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A simple harmonic motion is represented by y = 5(sin3πt + √3 cos3πt) cm. The amplitude and time period of the motion are

A

5 cm, 3/2 s

B

10 cm, 2/3 s

C

5 cm, 2/3 s

D

10 cm, 3/2 s

Correct Answer

Option B

Detailed Explanation

The given equation can be rewritten as y = 10 sin(3πt + π/3), indicating an amplitude A = 10 cm. The angular frequency ω = 3π, so the time period T = 2π/ω = 2/3 s.

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