List of top Physics Questions on Oscillations

Two identical point masses P and Q, suspended from two separate massless springs of spring constants $k_1$ and $k_2$, respectively, oscillate vertically. If their maximum velocities are the same, the ratio of the amplitude of P to the amplitude of Q is :

In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency Ï‰(t) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly?

A simple pendulum has a length of $ L = 2 \, \text{m} $. What is the time period of the pendulum? (Assume $ g = 9.8 \, \text{m/s}^2 $)

A mass of 0.5 kg is attached to a spring of force constant 200 N/m. What is the time period of oscillation?

A damped harmonic oscillator has an amplitude that reduces to half in 10 seconds. What will be the amplitude after 30 seconds?

A particle of mass $ m $ moves in one dimension under the action of a conservative force whose potential energy has the form $ U(x) = \frac{\alpha x}{x^2 + \beta^2} $, where $ \alpha $ and $ \beta $ are dimensional parameters. The angular frequency $ \omega $ of the oscillation is proportional to:

A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be:

A pendulum having a negatively charged metal knob is oscillating on a positively charged surface. The time of the pendulum will be:

If a copper rod carries a direct current, the magnetic field associated with the current will be?

What is the fundamental frequency of an open organ pipe with length $ L $ and speed of sound $ v $?