For a particle undergoing simple harmonic motion, the velocity is plotted against displacement. The curve will be

Options

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

Answer

D

Explanation

`v = omega sqrt(A^(2)) - (x^(2))`
`:. (v^(2))/(omega^(2)) + (x^(2))/(1)^(2) = A^(2)`
Hence, `v - x` graph is an ellipse.