Q. The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of $\ \pi$ result in the displacement of the particle along

A) circle
B) figure of eight
C) straight line
D) ellipse
Explanation

(c) $x = a\sin{\omega t}$
And $y = b\sin{(\omega t + \pi)} = - b\sin{\omega t}$
or $\frac{x}{a} = - \frac{y}{b}\ \ or\ \ \ y = - \frac{b}{a}x$
it is an equation of a straight line.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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