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)

$x=a\sin \omega t$
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