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Q.

Two linear simple harmonic motions of equal amplitude and frequency are imposed on a particle along x and y  axis respectively. The initial phase difference between them is π2 The resultant path followed by the particle is

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a

a straight line

b

an ellipse

c

a parabola

d

a circle

answer is A.

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Detailed Solution

Let the two SHMs be x=Asinωt and y=Acosωt.

here, xA2+yA2=1

⇒x2+y2=A2, the body will move in a circle.

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