AIPMT-PRELIMS Physics Oscillations Class 11 Questions

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Out of the following functions representing motion of a particle which represents SHM?

The displacement of a particle along the x-axis is given by x = a sin²ωt. The motion of the particle corresponds to

The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be:

Which one of the following equations of motion represents simple harmonic motion?

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:

Two simple Harmonic Motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of their maximum accelerations is -

A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin (ωt + π/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity ?

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

The particle executing simple harmonic motion has a kinetic energy 2 K cos t ω . The maximum 0 values of the potential energy and the total energy are respectively

A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take g = 10 m/s²)?

A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ. If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then:

A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillations of frequency f. If L is doubled and C is changed to 4C, the frequency will be:

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is:

Which one of the following statements is true for the speed 'v' and the acceleration 'a' of a particle executing simple harmonic motion

Two springs of spring constants k₁ and k₂ are joined in series. The effective spring constant of the combination is given by -

The time period of a 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 x₁ and x₂, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph :

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

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is -

A mass is suspended separately by two different springs in successive order then time period is t₁ and t₂ respectively. If it is connected by both spring as shown in figure then time period is t₀, the correct relation is :-

When an oscillator completes 100 oscillation its amplitude reduced to 1/3 of initial value. What will be its amplitude, when it completes 200 oscillation :-

Displacement between max. P.E. position and max. K.E. position for a particle executing simple harmonic motion is :-

The total energy of particle performing SHM depend on : -

Two spherical bob of masses Mₐ and Mᵦ are hung vertically from two strings of length ℓₐ and ℓᵦ respectively. They are executing SHM with frequency relation fₐ = 2fᵦ. Then :