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 meter/s. 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 another liquid of the same cork floats in similar oscillation has time period 2T, then 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: