JEE Questions for Physics Oscillations Quiz 4 - MCQExams.com

Consider the mechanical vibrating systems shown in figure A, B, C and D. The vibrations are simple harmonic in
Physics-Oscillations-84178.png
  • A and C
  • A, B and C
  • B and D
  • A, B, C and D
The displacement-time graph of a particle executing SHM is shown below.
Physics-Oscillations-84179.png
  • I and II
  • I, II and III
  • I and IV
  • All of these
The period of oscillation of a simple pendulum of length l suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination a is given by

  • Physics-Oscillations-84181.png
  • 2)
    Physics-Oscillations-84182.png

  • Physics-Oscillations-84183.png

  • Physics-Oscillations-84184.png

Physics-Oscillations-84186.png
  • 1 : 2
  • 2 : 1
  • 1 : 3
  • 3 : 1
A simple pendulum has a length 1 and the mass of the bob is m . The bob is given a charge q coulomb. The pendulum is suspended between the vertical plates of a charged parallel plate capacitor. If E is the electric field strength between the plates, the time period of the pendulum is given by

  • Physics-Oscillations-84188.png
  • 2)
    Physics-Oscillations-84189.png

  • Physics-Oscillations-84190.png

  • Physics-Oscillations-84191.png
In the Fig. S1 and S2 are identical springs. The oscillation frequency of the mass m is f. If one spring is removed, the frequency will become
Physics-Oscillations-84193.png

  • Physics-Oscillations-84194.png
  • 2)
    Physics-Oscillations-84195.png

  • Physics-Oscillations-84196.png

  • Physics-Oscillations-84197.png
Two masses m1 and m2 are suspended together by a massless spring of constant K. When the masses are in equilibrium, m1 is removed without disturbing the system. Then the angular frequency of oscillation of m2 is
Physics-Oscillations-84199.png

  • Physics-Oscillations-84200.png
  • 2)
    Physics-Oscillations-84201.png

  • Physics-Oscillations-84202.png

  • Physics-Oscillations-84203.png
Two light springs of force constants k1 and k2 (each 3.2 N m–1) and a block of mass ‘m’ (=200 g) are in one line AB on a smooth horizontal table such that one end of each spring is fixed on a rigid support and the other end is free as shown in Fig. 10.16. The distance CD between the free ends of a spring is 60.0 cm. If block moves along AB with a velocity 120 cm in between the springs, the period of oscillations of the block is
Physics-Oscillations-84205.png
  • 2.57 s
  • 1.0 s
  • 1.57 s
  • 3.57 s
On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm support. If each spring has force constant k, the period of oscillation of he body (assuming the springs as massless) is
Physics-Oscillations-84206.png

  • Physics-Oscillations-84207.png
  • 2)
    Physics-Oscillations-84208.png

  • Physics-Oscillations-84209.png

  • Physics-Oscillations-84210.png
Masses m and 3 m are attached to the two ends of a spring of constant k. If the system vibrates freely, the period of oscillation will be

  • Physics-Oscillations-84212.png
  • 2)
    Physics-Oscillations-84213.png

  • Physics-Oscillations-84214.png

  • Physics-Oscillations-84215.png
If X, F and U denote the displacement, force acting on and potential energy of a particle, then
  • U = FX
    Physics-Oscillations-84217.png
  • 2)
    Physics-Oscillations-84218.png

  • Physics-Oscillations-84219.png

  • Physics-Oscillations-84220.png
For a particle executing simple harmonic motion, the kinetic energy K at an instant t is given by K = K0 cos2 wt
The maximum value of potential energy is
  • k0
  • zero
  • k0/2
  • Not obtainable
A body performs S.H.M. Its kinetic energy K, varies with time t, as indicated in graph

  • Physics-Oscillations-84221.png
  • 2)
    Physics-Oscillations-84222.png

  • Physics-Oscillations-84223.png

  • Physics-Oscillations-84224.png
The work done by the string of a simple pendulum during one complete oscillation is equal to
  • total energy of the pendulum
  • kinetic energy of the pendulum
  • potential energy of the pendulum
  • zero
A particle starts S.H.M. from the mean position. Its amplitude is a and total energy E. At one instant its kinetic energy is 3 E/4 its displacement at this instant is

  • Physics-Oscillations-84225.png
  • 2)
    Physics-Oscillations-84226.png

  • Physics-Oscillations-84227.png

  • Physics-Oscillations-84228.png
For a particle executing S.H.M., the kinetic energy k is given by k0 cos2wt. The maximum value of potential energy is
  • k0
  • 0
  • k0/2
  • not obtainable
The potential energy of a particle executing S.H.M. is 2.5 J, when its displacement is half of amplitude The total energy of the particle is
  • 2.5 J
  • 10 J
  • 12 J
  • 18 J
A mass 1 kg suspended from a spring whose force constant is 400Nm–1, executes simple harmonic oscillation. When the total energy of the oscillator is 2J, the maximum acceleration experienced by the mass will be
  • 2 ms–2
  • 4 ms–2
  • 40 ms–2
  • 400 ms–2
The value of g decrease by 0.1 % on a mountain as compared to sea level. To record proper time here by means of a simple pendulum, its length must be
  • increased by 0.1 %
  • decreased by 0.1 %
  • increased by 0.2 %
  • decreased by 0.2 %
The length of a second’s pendulum at the surface of earth is 1 m. The length of second’s pendulum at the surface of moon where g is 1/6th that at earth’s surface is
  • 1/6 m
  • 6 m
  • 1/36 m
  • 36 m
A particle moves such that its acceleration a is given by a = – bx, where x is displacement from equilibrium position and b is a constant. The period of oscillation is

  • Physics-Oscillations-84234.png
  • 2)
    Physics-Oscillations-84235.png

  • Physics-Oscillations-84236.png

  • Physics-Oscillations-84237.png
A simple pendulum with a bob of mass ‘m’ oscillates from A to C and back to A such that PB is H. if the acceleration due to gravity is ‘g’, then the velocity of the bob as it passes through B is
Physics-Oscillations-84239.png
  • Zero
  • 2 gH
  • mgH

  • Physics-Oscillations-84240.png
A particle starts S.H.M. from the mean position. Its amplitude is A and time period is T. At the time when its speed is half of the maximum speed. Its displacement y is

  • Physics-Oscillations-84241.png
  • 2)
    Physics-Oscillations-84242.png

  • Physics-Oscillations-84243.png

  • Physics-Oscillations-84244.png
Two simple harmonic motions act on a particle. these harmonic motions are X = A cos (ωt + δ) ; y = A cos (ωt + a) when δ = a + π/, 2 the resulting motion is
  • an ellipse and the actual motion is counter clockwise
  • an ellipse and the actual motion is clockwise
  • a circle and the actual motion is counter clockwise
  • a circle and the actual motion is clockwise
The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination α is given by

  • Physics-Oscillations-84247.png
  • 2)
    Physics-Oscillations-84248.png

  • Physics-Oscillations-84249.png

  • Physics-Oscillations-84250.png
The period of a simple pendulum is doubled when its length in increased by 0.9 m. The value of the original length is
  • 0.1 m
  • 0.3 m
  • 0.6 m
  • 1 m
A body of mass 1 kg when released from an inclined plane is stopped by compressing a spring of force constant k = 10 N/m. Its velocity when it reaches the spring is 10 m/s. Find its compression

  • Physics-Oscillations-84252.png
  • 2)
    Physics-Oscillations-84253.png
  • 10m
  • 5m
Two springs A and B having spring constant kA and kB (kA =2 kB) are stretched by applying force of equal magnitude. If energy stored in spring A is EA then energy stored in B will be
  • 2 EA
  • EA/4
  • EA/2
  • 4 EA

Physics-Oscillations-84256.png

  • Physics-Oscillations-84257.png
  • 2)
    Physics-Oscillations-84258.png

  • Physics-Oscillations-84259.png

  • Physics-Oscillations-84260.png
Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing SHM is

  • Physics-Oscillations-84262.png
  • + 1
  • ± a
  • – 1
A child swinging on a swing in a sitting position, stands up, then the time period of the swing will
  • increase
  • decrease
  • remain same
  • increase if the child is long and decrease if the child is short
Period of oscillation of mass attached to a spring and performing SHM is T. The spring is now cut in to four equal pieces and the same mass attached to one piece. Now the period of its simple harmonic oscillation is
  • 2 T
  • T
  • T/2
  • T/4
Four pendulums A, B, C and D are hanged from the same elastic support as shown in Fig. A and C are of the same length while B is smaller than A and D is larger than A. If A is given displacement, then at steady state
Physics-Oscillations-84265.png
  • D will vibrate with maximum amplitude
  • C will vibrate with maximum amplitude
  • B will vibrate with maximum amplitude
  • all the four will oscillate with equal amplitude
A body of mass 0.01 kg executes SHM about x = 0, under the influence of force shown in the Fig. The period of the SHM is
Physics-Oscillations-84266.png
  • 1.05 s
  • 0.52 s
  • 0.25 s
  • 0.03 s
The length of simple pendulum executing SHM is increased by 21%. The percentage increase in the time period of the pendulum of increased length is
  • 42%
  • 10%
  • 11%
  • 21%
A body executes SHM. The P.E., the K.E. and total energy (T.E.) are measured as a function of displacement x. Which of the following statement is true?
  • K.E. is maximum when x is maximum
  • P.E. is maximum when x = 0
  • K.E. is maximum when x = 0
  • T.E. is zero when x = 0
A particle of mass m oscillates with SHM between points x1 and x2, the equilibrium position being points O. Its P.E. is plotted. It will be as given below in the graph.

  • Physics-Oscillations-84269.png
  • 2)
    Physics-Oscillations-84270.png

  • Physics-Oscillations-84271.png

  • Physics-Oscillations-84272.png
The displacement time graph of a particle executing SHM is as shown in Fig. The corresponding force – time graph of the particle is
Physics-Oscillations-84274.png

  • Physics-Oscillations-84275.png
  • 2)
    Physics-Oscillations-84276.png

  • Physics-Oscillations-84277.png

  • Physics-Oscillations-84278.png
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes SHM of time period T. If the mass is increased by m, the time period becomes 5T/3. The ratio of m/M is

  • Physics-Oscillations-84279.png
  • 2)
    Physics-Oscillations-84280.png

  • Physics-Oscillations-84281.png

  • Physics-Oscillations-84282.png
For a particle executing SHM the displacement x is given by x = A sin ωt. Identify the graph which represents the variation of potential energy (PE) as a function of time and displacement x.
Physics-Oscillations-84284.png
  • I, III
  • II, III
  • I, IV
  • II, IV
Let T1 and T2 be the time period of spring A and B when mass M is suspended from one end of each spring. If both springs are taken in series and the same mass M is suspended from the series combination, the time period is T, then

  • Physics-Oscillations-84285.png
  • 2)
    Physics-Oscillations-84286.png

  • Physics-Oscillations-84287.png

  • Physics-Oscillations-84288.png
A particle of mass m is attached to a spring (of force constant k) and has a natural angular frequency ω0. An external force F (t) proportional to cos ω t (ω ≠ ω0) is applied to the oscillator. The time displacement of the oscillator will be proportional to

  • Physics-Oscillations-84290.png
  • 2)
    Physics-Oscillations-84291.png

  • Physics-Oscillations-84292.png

  • Physics-Oscillations-84293.png
Two springs are connected to a block of mass M placed on a frictionless surface as shown in Fig. If both the strings have a spring constant k, the frequency oscillation of the block is
Physics-Oscillations-84294.png

  • Physics-Oscillations-84295.png
  • 2)
    Physics-Oscillations-84296.png

  • Physics-Oscillations-84297.png

  • Physics-Oscillations-84298.png
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
  • increase towards a saturation value
  • remain unchanged
  • first decrease and then increase to the original value
  • first increase and then decrease to the original value
A piece of wood has dimensions a, b and c. Its relative density is d. It is floating in water such that the side c is vertical. It is now pushed down gently and released. The time period is

  • Physics-Oscillations-84301.png
  • 2)
    Physics-Oscillations-84302.png

  • Physics-Oscillations-84303.png

  • Physics-Oscillations-84304.png
A flexible tube of uniform cross section has one limb A fixed vertically and the other lime B, free to be at any angle with the vertical (Fig). A liquid is poured into the tube so as to fill half of each limb. The level in one is slightly depressed down and released. Then
Physics-Oscillations-84306.png
  • the periods of S.H.M. oscillations of the levels in the two
  • the amplitudes of their oscillations are not equal
  • the amplitudes of S.H. oscillations of the liquid in the two limbs are equal
  • the velocities of the two levels at any instant, along the tube will be equal in magnitude
Two pendulum of lengths 1m and 1.21 m respectively start swinging together with same amplitude. The number of vibrations that will be executed by the longer pendulum before the two will swing together again are
  • 9
  • 10
  • 11
  • 12
A system consists of two cubes of masses m1 and m2 respectively connected by a spring of force constant k. The force (F) that should be applied to the upper cube for which the lower one just lifts after the force is removed is
Physics-Oscillations-84309.png

  • Physics-Oscillations-84310.png
  • 2)
    Physics-Oscillations-84311.png

  • Physics-Oscillations-84312.png

  • Physics-Oscillations-84313.png
A weightless rigid rod with a small ball, at the end is hinged at point A to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible thread of length l, fixed at its mid – point. The ball receives a momentum in the direction perpendicular to the plane of the Fig. The period of small oscillations of the system is
Physics-Oscillations-84315.png

  • Physics-Oscillations-84316.png
  • 2)
    Physics-Oscillations-84317.png

  • Physics-Oscillations-84318.png

  • Physics-Oscillations-84319.png
A solid cylinder of mass M, radius R is attached to a horizontal mass less spring of spring constant k, so that it can roll without slipping along a horizontal surface. If the cylinder is slightly displaced and released, the time period of the SHM it executes is
Physics-Oscillations-84321.png

  • Physics-Oscillations-84322.png
  • 2)
    Physics-Oscillations-84323.png

  • Physics-Oscillations-84324.png

  • Physics-Oscillations-84325.png
0:0:1


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