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The composition of two simple harmonic motions of equal periods at the right angle to each other and with a phase difference of π results in the displacement of the particle along?

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The composition of two simple harmonic motions of equal periods at the right angle to each other and with a phase difference of π results in the displacement of the particle along?

(a) Circle

(b) Figure of eight

(c) Straight line

(d) Ellipse

I had been asked this question during an interview for a job.

Origin of the question is Wave Motion topic in chapter Waves of Engineering Physics I

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The correct answer is (c) Straight line

The explanation: Let x = asinωt

y=bsin(ωt+π)=-bsinωt

x/a=y/b

y=-b/a×x

This is the equation of a straight line.

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