For a particle executing SHM, x = displacement from mean position, v = velocity and a = acceleration at any instant, then

Options

A. parabola
B. ellipse
C. circle
D. hyperbola

Answer

B

Explanation

Speed `v = omega sqrt(A^(2)-x^(2))`

`v^(2)+omega^(2)x^(2)=omega^(2)A^(2)rArr (v^(2))/(omega^(2)A^(2))+(x^(2))/(A^(2))=1" "("on solving")`
Which is an ellipse.