AIPMT MAIN2008Physics-Oscillations

AIPMT MAIN 2008 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin(ωt + π/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

A

T/12

B

T/8

C

T/6

D

T/3

Correct Answer

Option A

Detailed Explanation

The velocity of the point is given by v = ωa cos(ωt + π/6). Setting v = ωa/2, we solve for t to find that t = T/12.

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