Question

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

• A. circle
• B. figure of eight
• C. straight line
• D. ellipse

Answer 1

Answer: (C)

straight line

Answer 2

$x = a \sin \omega t$ 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
Therefore, the correct option is (C) : straight line