NEET2017Physics-Oscillations

NEET 2017 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-numerical-Hard-Class 11

A particle executes linear simple harmonic motion with amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

A

√3/π

B

√3/2π

C

4π/√5

D

√5/3

Correct Answer

Option C

Detailed Explanation

Using the equations of SHM, v = ω√(A² - x²) and a = ω²x, equating the magnitudes gives the time period T = 2π/ω = √3/π.

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