Consider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is m kg and the spring constant is k Nm^-1. At a given…

Consider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is $\displaystyle m \mathrm{~kg}$ and the spring constant is $\displaystyle k \mathrm{Nm}^{-1}$. At a given instant, the extension of the spring is $\displaystyle x$ meter and the speed of the particle is $\displaystyle v \mathrm{~ms}^{-1}$. On the $\displaystyle x-v$ plane, if the graph of $\displaystyle v$ as a function of $\displaystyle x$ is a circle, then the correct option is :