31 Year NEET Previous Questions: Oscillations - 1 Free MCQ Practice Test

In an oscillating spring mass system, a spring is connected to a box filled with the sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency ω (t) and average amplitude A (t) of the system changes with time t. Which of the following options systemically depicts these changes correctly?    [2025]

Two identical point masses P and Q, suspended from two separate massless springs of spring constant k₁ and k₂, respectively, oscillate vertically. If their maximum speeds are the same, the ratio (A_Q/A_P) of the amplitude A_Q of mass Q to the amplitude A_P of mass P is:    [2025]

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is x / 2 times its original time period. Then the value of x is:    [2024]

If  represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are    [2024]

The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t = 2 s is     [2023]

Match List-I with List-II       [2022]

Choose the correct answer from the options given below:

Identify the function which represents a non-periodic motion.     [2022]

A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is:    [2021]

A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is:     [2021]

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is :     [2020]

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig.

y - projection of the radius vector of rotating particle P is:    [2019]
(a) y(t) = –3 cos2πt, where y in m

The displacement of a particle executing simple harmonic motion is given by y = A₀+ Asinωt + Bcosωt
Then the amplitude of its oscillation is given by :    [2019]

The displacement of a particle executing simple harmonic motion is given by y = A₀+ Asinωt + Bcosωt
Then the amplitude of its oscillation is given by :    [2019]

Average velocity of a particle executing SHM in one complete vibration is:    [2019]

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s² at a distance of 5 m from the mean position. The time period of oscillation is:- [2018]

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:-    [2017]

A spring of force constant k is cut into lengths of ratio 1 : 2 : 3. They are connected in series and the new force constant is K'. Then they are connected in parallel and force constant is k''. Then k' : k'' is     [2017]

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is      [2016]

A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Them, its time period of vibration will be       [NEET / AIPMT 2015]

A particle is executing SHM along a straight line. Its velocities at distances x₁ and x₂ from the mean position are V₁ and V₂, respectively. Its time period is:    [NEET /AIPMT Cancelled Paper 2015]

When two displacements represented by y₁ = a sin(ωt) and y₂ = b cos(ωt) are superimposed the motion is:    [NEET /AIPMT Cancelled Paper 2015]

A particle of mass m oscillates along x-axis according to equation x = a sinωt. The nature of the graph between momentum and displacement of the particle is [NEET Kar. 2013]

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are : [2012]

The equation of a simple harmonic wave is given by

Where x and y are in meters and t is in seconds.The ratio of maximum particle velocity to the wave velocity is [2012M]

Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is [2011M]