CBSE Questions for Class 11 Engineering Physics Oscillations Quiz 6 - MCQExams.com

A spring balance together with a suspended weight of $$2.5$$kg is dropped from a height of $$30$$ metres. The reading on the spring balance, while falling, will show a weight of.
  • $$2.5$$kg
  • $$1.25$$kg
  • $$0$$kg
  • $$25$$kg
The equation of a progressive wave can be given by $$y = 15 \sin (660 \pi t- 0.02 \pi x) cm$$. The frequency of the wave is :
  • $$330 Hz$$
  • $$342 Hz$$
  • $$365 Hz$$
  • $$660 Hz$$
If a simple harmonic motion is represented by $$\dfrac{d^2 x}{d t^2} + \alpha x = 0$$, its time period is then
  • $$2 \pi \sqrt{\alpha}$$.
  • $$2 \pi \alpha$$
  • $$\dfrac{2 \pi}{\sqrt{\alpha}}$$
  • $$\dfrac{2 \pi}{\alpha}$$
Motion of an oscillating liquid in a U tube is
  • periodic but not simple harmonic
  • non - periodic
  • simple harmonic and time period is independent of the density of the liquid.
  • simple harmonic and time period is directly proportional to the density of the liquid.

A Simple harmonic oscillator has a period of $$0.01{\text{ }}s$$ and an amplitude of $$0.2\,m.$$ The magnitude of the velocity in m $$se{c^{ - 1}}$$  at the mean position will be
  • $$20\,\pi $$
  • $$100$$
  • $$40\,\pi $$
  • $$100\,\pi $$

The amplitude of a particle in SHM is $${\text{5 }}cms$$ and its time period is $$\pi .$$ At a displacement of $$3\;cm$$ from its mean position the velocity in cm/sec will be:
  • 8
  • 12
  • 2
  • 16
The force on a particle of mass $$10\ g$$ is $$(10\hat{i}+5\hat{j})N$$. If it starts from rest, what would be its position at time $$t = 5 s$$?
  • $$(12500\hat{i}+6250\hat{j})m$$
  • $$(6250\hat{i}+12500\hat{j})m$$
  • $$(12500\hat{i}+12500\hat{j})m$$
  • $$(6250\hat{i}+6250\hat{j})m$$
Two particle P and Q are executing simple harmonic motion with equal amplitude and frequency. At a distance of half the amplitude one of them is moving away from the mean position while the other is observed at a distance half the amplitude to be moving towards mean position as shown in figure. The phase difference between them is:
992151_d4c4bb63a6e84856b0b62bec973d4d7d.png
  • $$\dfrac{\pi}{2}$$
  • $$\dfrac{\pi}{3}$$
  • $$\dfrac{4\pi}{3}$$
  • $$\dfrac{\pi}{6}$$
Figure shows three systems in which a block of mass m can execute S.H.M. What is ratio of frequency of oscillation?
993381_9f89fd8a37be4681930b8ac8c617da5b.png
  • 2: 1: 4
  • 1: 2: 4
  • 4: 2: 1
  • 3: 2: 1
Two blocks A and B of masses m and 2 m, respectively, are held at rest such that the spring is in natural length. Find out the accelerations of both the blocks just after release.
981471_0b4a658aa0db40d7bc76b7070fc2522d.png
  • $$g\downarrow ,g\downarrow $$
  • $$\dfrac { g }{ 3 } \downarrow ,\dfrac { g }{ 3 } \uparrow $$
  • $$0, 0$$
  • $$g\downarrow ,c$$
A particle executes SHM with an amplitude of $$2cm$$. When the particle is at $$1cm$$ from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
  • $$\cfrac { 1 }{ 2\pi \sqrt { 3 } } $$
  • $$2\pi \sqrt { 3 } $$
  • $$\cfrac { 2\pi }{ \sqrt { 3 } } $$
  • $$\cfrac { \sqrt { 3 } }{ 2\pi } $$
The maximum velocity of a particle executing simple harmonic motion is $$v$$. If the amplitude is doubled and the time period of oscillation decreased to $$1/3$$ of its original value, the maximum velocity becomes:
  • $$18v$$
  • $$12v$$
  • $$6v$$
  • $$3v$$
A particle executes simple harmonic motion between $$x=-A$$ and $$x=+A$$. The time taken for it to go from $$0$$ to $$A/2$$ is $$T_1$$ and to go from $$A/2$$ to A is $$T_2$$. Then.
  • $$T_1 < T_2$$
  • $$T_1 > T_2$$
  • $$T_1 = T_2$$
  • $$T_1 =2T_2$$
Two bodies M and N of equal mass are suspended from two separate massless spring of force constant $$k_1$$ and $$k_2$$ respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of M to that of N is?
  • $$\dfrac{k_1}{k_2}$$
  • $$\sqrt{\dfrac{k_1}{k_2}}$$
  • $$\dfrac{k_2}{k_1}$$
  • $$\sqrt{\dfrac{k_2}{k_1}}$$
"The motion of a particle with a restoring force gives oscillatory motion". Which of the following force can be a restoring force for the oscillatory motion.
  • Frictional force
  • A constant force F
  • A time varying force opposite to direction of motion
  • Force due to a spring
"A bird flapping its wings circles around a clock tower". Which part of the motion is periodic and oscillatory ?
  • Bird's motion is oscillatory while wing flapping was periodic
  • Both bird's motion and wing flapping were oscillatory
  • Bird's motion is periodic while wing flapping was oscillatory
  • Both bird's motion and wing flapping are non-oscillatory
The bye-bye gesture, we do using hands is an example of 
  • Periodic motion
  • Oscillatory motion
  • Linear motion
  • Circular motion
Simple harmonic motion of a particle can be described as the motion of a particle in which 
  • smaller oscillations takes place about the mean position
  • acceleration of the particle is proportional to displacement
  • velocity of the particle is proportional to instantaneous displacement
  • displacement of the particle is constant
A particle executes simple harmonic motion with a frequency $$'f'$$. The frequency with which its kinetic energy oscillates is?
  • $$\dfrac{f}{2}$$
  • $$f$$
  • $$2f$$
  • $$4f$$
Two masses $$m_1$$ and $$m_2$$ are suspended together by a massless spring of spring constant $$k$$ as shown in the figure. When the masses are in equilibrium, $$m_1$$ is removed without disturbing the system. Find the angular frequency and amplitude of oscillation of $$m_2$$.
1010254_e0f543a45f394ac7a475a0e283bd639f.png
  • $$\sqrt{\dfrac{k}{3m_2}}$$.
  • $$\sqrt{\dfrac{k}{m_2}}$$.
  • $$\sqrt{\dfrac{k}{2m_2}}$$.
  • $$\sqrt{\dfrac{k}4{m_2}}$$.
Which of the following equations represents a particle performing simple harmonic motion
  • x= 3t
  • x = 4 sin 2t
  • x = 1/t
  • x = 3 log 2t
In periodic motion, the displacement is
  • directly proportional to the restoring force
  • inversely proportional to the restoring force
  • independent of restoring force
  • independent of any force acting on the particle
A particle performing SHM has a period of 6s and amplitude of 8 cm. The particle starts from the mean position and moves towards the positive extremity. At what time will it have the maximum amplitude
  • 6s
  • 4.5s
  • 1.5 s
  • 3 s
What is the velocity of the particle executing SHM at x = A/2, if the angular frequency = 2 rads/s and amplitude is 5 cm:
  • $$5 $$cm/s
  • $$0 $$cm/s
  • $$5 \sqrt(3) $$cm/s
  • $$5 \sqrt(2) $$cm/s
The displacement of a particle performing linear S.H.M is given by $$x=6 sin(3 \pi t-5\pi/6) $$ metre. Find the time at which the particle reaches the extreme position towards the left:
  • 5/9 secs
  • 4/9 secs
  • 1/9 secs
  • 7/9 secs
A particle executes SHM along x axis and is at the mean position at t=What is its velocity at its mean position. The amplitude of SHM is 5 cm and angular frequency is 2 rad/s:
  • 5 cm/s
  • 10 cm/s
  • 7 cm/s
  • 0 cm/s
A particle executes SHM given by the equation $$x = 4 sin (2 \pi t +\pi/4)$$, what will be the velocity of the particle at t = (1/8)th sec; 
  • velocity = 0
  • velocity = maximum
  • velocity = minimum
  • The particle's speed cannot be determined
For what phase difference between two SHMs will the amplitude of the resultant SHM be zero
  • $$\pi/2$$
  • $$2\pi$$
  • $$\pi$$
  • $$0$$
A particle performs SHM given by the equation $$x = A sin \omega t$$. Where is the particle at t = 3T/8, 
  • The particle is at a distance of $$A/\sqrt(2)$$ moving away from the mean position to its extreme
  • The particle is at a distance of $$A/\sqrt(2)$$ moving towards the mean position to its extreme
  • The particle is at a distance of $$A(1-1/\sqrt(2))$$ moving away from the mean position to its extreme
  • None of these
If the phase difference between two sinusoidal waves is $$\pi/2$$, what is the corresponding path difference
  • $$2\lambda/4$$
  • $$\lambda$$
  • $$\lambda/4$$
  • $$\lambda/2$$
If two SHMs of different amplitudes are added together, the resultant SHM will be a maximum if the phase difference between them is 
  • $$\pi/2$$
  • $$\pi/4$$
  • $$\pi$$
  • $$2\pi$$
What type of curve do we get, if $$x^2$$ and $$v^2$$ are plotted for a particle executing SHM, x and v are the position and velocity of the particle:
  • Circle
  • Straight line
  • Ellipse
  • Rectangle
A particle executes SHM from its mean position at t=0 with an amplitude A, what will be its velocity at x=A/2, in its forward motion towards the extreme:
  • $$\sqrt(3)A \omega/2$$
  • $$\sqrt(3)A \omega/4$$
  • $$A \omega/2$$
  • $$A \omega$$
The time period of oscillation of magnet in a vibrating magnetometer is $$1.5$$ sec. The time period of oscillation of another magnet similar in size and mass but having one-fourth the magnetic moment than that of the first magnet oscillating at the same place will be 
  • $$0.75$$ sec
  • $$1.5$$ sec
  • $$3.0$$ sec
  • $$6.0$$ sec
 The amplitude of a simple pendulum, oscillating in air with a small spherical bob, decreases from $$10\ cm$$ to $$8\ cm$$ in $$40$$ seconds. Assuming that Stokes law is valid, and ratio of the coefficient of viscosity of air to that of carbon dioxide is $$1.3$$, the time In which amplitude of this pendulum will reduce from $$10\ cm$$ to $$5\ cm$$ in carbon dioxide will be close to (ln $$5=1.601, \ln { 2 }  2=0.693$$)
  • $$231\ s$$
  • $$208\ s$$
  • $$161\ s$$
  • $$142\ s$$
The maximum velocity of a particle, executing simple harmonic motion with an amplitude $$7$$ mm, is $$4.4$$ m/s. The period of oscillation is :
  • $$100$$ s
  • $$0.01$$ s
  • $$10$$ s
  • $$0.1$$ s
A particle is executing SHM with amplitude of 4 cm and has a maximum velocity of 10 cm/sec.
(a) At what displacement its velocity is 4 cm/sec?
(b) What is its velocity at displacement 2 cm?
  •  $$\pm$$3.66cm, 8.66 cm
  •  $$\pm$$4.66cm, 8.66 cm
  •  $$\pm$$3.66cm, 9.66 cm
  •  $$\pm$$5.66cm, 10.66 cm
The potential energy of a particle of mass 10g varies as its displacement from its mean position given by $$U = 3x^2 + 3$$, then, the particle performs a
  • SHM with time period $$T = \pi$$ s
  • Linear motion
  • SHM with time period $$T =\dfrac{ \pi}{5\sqrt{6}}$$ s
  • SHM with time period $$T = \pi/5$$ s
At what position along a straight line will the velocity be zero for a particle executing SHM
  • Mean position
  • $$x=A/2$$
  • Extremes
  • $$x= - A/2$$
The potential energy of a particle is directly proportional to its linear displacement from its mean position. Then, the particle performs a
  • Retarding straight line motion
  • Damped SHM
  • Linear SHM
  • Angular SHM
A particle moves along the $$X-$$axis as 
$$x=u(t-2)+a(t-2)^{2}$$
  • the initial velocity of the particle is $$u$$
  • the acceleration of the particle is $$\alpha$$
  • the acceleration of the particle is $$2\alpha$$
  • at $$t=2s$$ particle is at the origin.
A particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that is at a distance $$\dfrac{2A}{3}$$ from equilibrium position. The new amplitude of the motion is:
  • $$3A$$
  • $$A\sqrt3$$
  • $$\dfrac{7A}{3}$$
  • $$\dfrac{A}{3}\sqrt{41}$$
Two particles $$A$$ and $$B$$ of equal masses are suspended from two massless springs of spring constants $$k_1$$ and $$k_2$$ respectively. If the maximum velocities, during oscillations, are equal, the ratio of amplitudes of $$A$$ and $$B$$ is :
  • $$\sqrt{\dfrac{k_1}{k_2}}$$
  • $$\dfrac{k_2}{k_1}$$
  • $$\sqrt{\dfrac{k_2}{k_1}}$$
  • $$\dfrac{k_1}{k_2}$$
In SHM which of the following statement is/are correct?
  • Displacement and velocity may be in the same direction.
  • Displacement and velocity can never be in the same direction.
  • Velocity and acceleration may be in the same direction.
  • Displacement and acceleration can never be in the same direction.
A spring of force constant K is attached with a mass executes with S.H.M has a time period T. It is cut into three equal parts. If the springs are connected in parallel then the time period of the combination for the same mass is
  • T
  • T/3
  • T/9
  • 2T/3
A body executing $$S.H.M.$$ along a straight line has a velocity of $$3\ ms^{-1}$$ when it is at a distance of $$4\ m$$ from its mean position and $$4\ ms^{-1}$$ when it is at  a distance of $$3\ m$$ from its mean position. Its angular frequency and amplitude are:
  • $$2\ rad\ s^{-1}$$ & $$5\ m$$
  • $$1\ rad\ s^{-1}$$ & $$10\ m$$
  • $$2\ rad\ s^{-1}$$ & $$10\ m$$
  • $$1\ rad\ s^{-1}$$ & $$5\ m$$
 A particle executes SHM with an amplitude of 20 cm and time period of 12 sec. The minimum time required for it to move between two points 10 cm on either side of the mean position
  • 1 s
  • 2 s
  • 3 s
  • 4 s
A small solid cylinder of mass M attached to a horizontal massless spring can roll without slipping along a horizontal surface. find its time period.
  •  2$$\pi$$ $$\sqrt{M/2k}$$
  •  $$2\pi$$ $$\sqrt{3M/5k}$$
  •  2$$\pi$$ $$\sqrt{3M/2k}$$
  •  $$\pi$$ $$\sqrt{3M/2k}$$
A particle moves along the $$x-$$ axis according to the equation
$$x = 4 + 3 \sin(2\pi t)$$, here $$x$$ is in $$cm$$ and $$t$$ in second. Select the correct alternative(s)
  • The motion of the particle is simple harmonic with mean position at $$x = 0$$
  • The motion of the particle is simple harmonic with mean position at $$x = 4\ cm$$
  • The motion of the particle is simple harmonic with mean position at $$x = -4\ cm$$
  • Amplitude of oscillation is $$3\ cm$$
The elastic potential energy of a stretched spring is given by $$E=50{x}^{2}$$ where $$x$$ is the displacement in meter and $$E$$ is in joule, then the force constant of the spring is
  • $$100J{m}^{-1}$$
  • $$100Nm$$
  • $$100J/{m}^{2}$$
  • $$50Nm$$
0:0:1


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