Q.

The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed ω varies with time t is

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a

2a sin ωt

b

2a sinωt2

c

2a cos ωt

d

2a cosωt2

answer is B.

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Detailed Solution

In time t particle has rotated an angle θ = ωt. Displacements= PQ = QR2+PR2s = (a sin ωt)2+(a-a cos ωt)2s = 2a sin ωt2
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