AIPMT PRELIMS2008Physics-Oscillations
AIPMT PRELIMS 2008 Physics Simple Harmonic Motion MCQ Question
Type: MCQ-numerical-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/3
B
T/12
C
T/8
D
T/6
Correct Answer
Option B
Detailed Explanation
The velocity in SHM is given by v = ωa cos(ωt + π/6). Solving for the time when v = vmax/2 gives the required fraction of the period.
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