## MCQ (Single Correct Answer)

Match List-I with List-II
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Identify the function which represents a non-periodic motion.

Two pendulums of length 121 cm and 100 cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum...

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

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 -

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

The radius of circle, the period of revolution, initial position and sense of revolution are indicated is the figure.
y- projection of the radius ve...

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

The displacement of a particle executing simple harmonic motion is given by
y = A0 + A sin$$\omega $$t + B cos$$\omega $$t.
Then the amplitude of its ...

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 o...

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 conn...

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...

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...

A particle is executing a simple harmonic motion. Its maximum acceleration is $$\alpha $$ and maximum velocity is $$\beta $$. Them, its time period of...

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 p...

When two displacements represented by y1 = a sin$${\left( {\omega t} \right)}$$ and y2 = b cos$${\left( {\omega t} \right)}$$ aresuperimposed the moti...

The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = A cos$$\left( {\omega t} \right)$$
where X = displacemen...

A particle of mass m oscillates along x-axis according to equation x = asin$$\omega $$t. The nature of the graph between momentum and displacement of ...

Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, movi...

Out of the following functions representing motion of a particle which represents SHM
(1) y = sin$$\omega $$t $$-$$ cos$$\omega $$t
(2)&nbs...

The displacement of a particle along the x-axis is given by x = asin2$$\omega $$t. The motion of the particle corresponds to

The period of oscillation of a mass M suspended from a strong of negligible mass is T. If along with it another mass M is also suspended, the period o...

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 ?
where k, k0, k1 and a are all positive. ...

Two simple harmonic motions of angular frequency 100 and 1000 rad s$$-$$1 have the same displacement amplitude. The ratio of their maximum acceleratio...

A particle executes simple harmonic oscillation with an amplitude $$a$$. The period of oscillation is T. The minimum time taken by the particle to tra...

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 ...

The particle executing simple harmonic motion has a kinetic energy K0cos2$$\omega $$t. The maximum values of the potential energy and the total energy...

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

A rectangular block of mass m and area of cross-section A floats in a liquid of density $$\rho $$. If it is given a small vertical displacement from e...

The circular motion of a particle with constant speed is

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

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?

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

A particle of mass m oscillates with simple harmonic motion between points x1 and x2, the equilibrium position being O. Its potential energy is plotte...

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

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,...

Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is

When an oscillator completes 100 oscillations its amplitude reduced to $${1 \over 3}$$ of initial value. What will be its amplitude, when it complette...

A mass is suspended separately by two different springs in (successive order then time periods is t1 and t2 respectively, If it is connected by both s...

The total energy of particle performing SHM depend on

Two masses $$M$$A and $$M$$B are hung from two strings of length $$l$$A and $$l$$B respectively. They are executing SHM with frequency relation $$f$$A...

The bob of simple pendulum having length $$l$$, is displaced from mean position to an angular position q with respect to vertical. If it is released, ...