NEET UG 2003 — Waves & Oscillations

The time period of mass suspended from a spring is $T$. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:

A particle of mass $m$ oscillates with simple harmonic motion between points $x_1$ and $x_2$, the equilibrium position being $\mathrm{O}$. Its potential energy is plotted. It will be as given below in the graph:

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is: where $E$ energy is the total energy

In case of a forced vibration, the resonance peak becomes very sharp when the: