RE-NEET Physics Oscillations Class 11 Questions

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 instant, the extension of the spring is x meter and the speed of the particle is v m s⁻¹. On the x - v plane, if the graph of v as a function of x is a circle, then the correct option is:

A cylindrical cork of uniform density floats in a liquid of density ρ₁. If the cork is depressed slightly and released, it oscillates harmonically with time period T. If the same cork floats in another liquid of density ρ₂, then the similar oscillation has time period 2T. The value of ρ₂/ρ₁ is:

A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement

The two-dimensional motion of a particle, described by $\vec{r} = (\hat{i} + 2\hat{j}) A \cos t$ is a/an: