A particle is acted simultaneously by mutually perpendicular simple harmonic motion `x = a cos omega t` and `y= a sin omega t`. The frequency of motion of the particle will be

Options

A. an ellipse
B. a parabola
C. a circle
D. a straight line

Answer

C

Explanation

We have to find resultant-displacement by adding `x` and `y` components. According to variation of `x` and `y`, trajectory will be predicted
Given, `x = a cos omegat = a sin (omegat +(pi)/(2))` and `y =a sin omegat`
Here `a_(1) = a_(2) =a` and `phi =(pi)/(2)`
The trajectory of motion of the partcle will be circle of radius a.