Oscillations · Physics · NEET
MCQ (Single Correct Answer)
1
A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement
NEET 2024 (Re-Examination)
2
The two-dimensional motion of a particle, described by $$\vec{r}=(\hat{i}+2 \hat{j}) A \cos \omega t$$ is a/an:
A. parabolic path
B. elliptical path
C. periodic motion
D. simple harmonic motion
Choose the correct answer from the options given below:
NEET 2024 (Re-Examination)
3
If $$x=5 \sin \left(\pi t+\frac{\pi}{3}\right) \mathrm{m}$$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are
NEET 2024
4
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 $$\frac{x}{2}$$ times its original time period. Then the value of $$x$$ is:
NEET 2024
5
A simple pendulum oscillating in air has a period of $$\sqrt{3} \mathrm{~s}$$. If it is completely immersed in non-viscous liquid, having density $$\left(\frac{1}{4}\right)^{\text {th }}$$ of the material of the bob, the new period will be :-
NEET 2023 Manipur
6
The $$x$$ - $$t$$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $$t=2 \mathrm{~s}$$ is :
NEET 2023
7
Match List-I with List-II
| List-I (x-y graphs) |
List-II (Situations) |
||
|---|---|---|---|
| (a) |  |
(i) | Total mechanical energy is conserved |
| (b) |  |
(ii) | Bob of a pendulum is oscillating under negligible air friction |
| (c) |  |
(iii) | Restoring force of a spring |
| (d) |  |
(iv) | Bob of a pendulum is oscillating along with air friction |
Choose the correct answer from the options given below
NEET 2022 Phase 2
8
Identify the function which represents a non-periodic motion.
NEET 2022 Phase 2
9
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 number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is :
NEET 2022 Phase 1
10
A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is :
NEET 2021
11
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 -
NEET 2021
12
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is :
NEET 2020 Phase 1
13
The radius of circle, the period of revolution, initial position and sense of revolution are indicated is the figure.
y- projection of the radius vector of rotating particle P is :
y- projection of the radius vector of rotating particle P is :
NEET 2019
14
Average velocity of a particle executing SHM in one complete vibration is :
NEET 2019
15
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 oscillation is given by :
y = A0 + A sin$$\omega $$t + B cos$$\omega $$t.
Then the amplitude of its oscillation is given by :
NEET 2019
16
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 s–2 at a distance of 5 m from the mean
position. The time period of oscillation is
NEET 2018
17
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
NEET 2017
18
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 second is
NEET 2017
19
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
NEET 2016 Phase 2
20
A particle is executing a simple harmonic motion. Its maximum acceleration is $$\alpha $$ and maximum velocity is $$\beta $$. Them, its time period of vibration will be
AIPMT 2015
21
When two displacements represented by y1 = a sin$${\left( {\omega t} \right)}$$ and y2 = b cos$${\left( {\omega t} \right)}$$ aresuperimposed the motion is
AIPMT 2015 Cancelled Paper
22
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
AIPMT 2015 Cancelled Paper
23
The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = A cos$$\left( {\omega t} \right)$$
where X = displacement at time t
$$\omega $$ = frequency of oscillation
Which one of the following graphs shows correctly the variation a with t?
Here a = acceleration at time t
T = time period
X = A cos$$\left( {\omega t} \right)$$
where X = displacement at time t
$$\omega $$ = frequency of oscillation
Which one of the following graphs shows correctly the variation a with t?
Here a = acceleration at time t
T = time period
AIPMT 2014
24
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 the particle is
NEET 2013 (Karnataka)
25
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
AIPMT 2011 Mains
26
Out of the following functions representing motion of a particle which represents SHM
(1) y = sin$$\omega $$t $$-$$ cos$$\omega $$t
(2) y = sin3$$\omega $$t
(3) y = 5cos$$\left( {{{3\pi } \over 4} - 3\omega t} \right)$$
(4) y = 1 + $$\omega $$t + $$\omega $$2t2
(1) y = sin$$\omega $$t $$-$$ cos$$\omega $$t
(2) y = sin3$$\omega $$t
(3) y = 5cos$$\left( {{{3\pi } \over 4} - 3\omega t} \right)$$
(4) y = 1 + $$\omega $$t + $$\omega $$2t2
AIPMT 2011 Prelims
27
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 of oscillation will now be
AIPMT 2010 Prelims
28
The displacement of a particle along the x-axis is given by x = asin2$$\omega $$t. The motion of the particle corresponds to
AIPMT 2010 Prelims
29
Which one of the following equations of motion represents simple harmonic motion ?
where k, k0, k1 and a are all positive.
where k, k0, k1 and a are all positive.
AIPMT 2009
30
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
AIPMT 2009
31
Two simple harmonic motions of angular frequency 100 and 1000 rad s$$-$$1 have the same displacement amplitude. The ratio of their maximum acceleration is
AIPMT 2008
32
The particle executing simple harmonic motion has a kinetic energy K0cos2$$\omega $$t. The maximum values of the potential energy and the total energy are respectively
AIPMT 2007
33
The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
AIPMT 2007
34
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).
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).
AIPMT 2007
35
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
AIPMT 2007
36
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 equilibrium it undergoes with a time period T, then
AIPMT 2006
37
The circular motion of a particle with constant speed is
AIPMT 2005
38
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is
AIPMT 2004
39
Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the combination is given by
AIPMT 2004
40
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
AIPMT 2003
41
In case of a forced vibration, the resonance peak becomes very sharp when the
AIPMT 2003
42
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
AIPMT 2003
43
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is
AIPMT 2003
44
Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion?
AIPMT 2003
45
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 spring as shown in figure then time period is t0 , the correct relation is
AIPMT 2002
46
Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is
AIPMT 2002
47
When an oscillator completes 100 oscillations its amplitude reduced to $${1 \over 3}$$ of initial value. What will be its amplitude, when it complettes 200 oscillations ?
AIPMT 2002
48
The total energy of particle performing SHM depend on
AIPMT 2001
49
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 = 2$$f$$B, then relation
AIPMT 2000
50
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, then velocity of bob at equilibrium position
AIPMT 2000