JEE Questions for Physics Oscillations Quiz 11 - MCQExams.com

A force of 6.4 N stretches a vertical spring by 0.1 m. The mass that must be suspended from the spring so that it oscillates with a period of π/4 s. is

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  • 1 kg

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  • 10 kg
Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of oscillation of the system is
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  • 2)
    Physics-Oscillations-85104.png

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Values of the acceleration A of a particle moving in simple harmonic motion as a function of its displacement x are given in the table below
The period of the motion is
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  • 2)
    Physics-Oscillations-85110.png

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Two pendulums have time periods T and 5T/4 . They start S.H.M. at the same time from the mean position. What will be the phase difference between them after the bigger pendulum has completed one oscillation
  • 45°
  • 90°
  • 60°
  • 30°
The periodic time of a particle doing simple harmonic motion is 4 second. The time taken by it to go from its mean position to half the maximum displacement (amplitude) is
  • 2 s
  • 1 s

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A mass M is suspended by two springs which are connected in series as shown in the Figure. If the spring constants are k1 and k2, then time period of vertical vibration is
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  • 2)
    Physics-Oscillations-85122.png

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An object suspended from a spring exhibits oscillations of period T. Now the spring is cut in two halves and the same object is suspended with two halves as shown in fig. The new time period of oscillation will become
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  • 2)
    Physics-Oscillations-85128.png

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Two blocks with masses m1 = 1 kg and m2 = 2 kg are connected by a spring of spring constant k = 24 N/m and placed on a frictionless horizontal surface. The block m1 is imparted an initial velocity v0 = 12 cm/s to the right, the amplitude of oscillation is
Physics-Oscillations-85132.png
  • 1 cm
  • 2 cm
  • 3 cm
  • 4 cm
Particle of mass m is executing oscillations about the origin on the x – axis with amplitude A. its P.E. is given as U(x) = a x4, where α is positive constant. The x – coordinate of mass where potential energy is one third of the K.E. of particle, is

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  • 2)
    Physics-Oscillations-85135.png

  • Physics-Oscillations-85136.png

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For a simple pendulum the graph between g and T2 will be
  • hyperbola
  • parabola
  • a curved line
  • a straight line
If a simple pendulum is taken to a place where g decrease by 2%, then the time period
  • increases by 0.5 %
  • increases by 1 %
  • increases by 2.0 %
  • decreases by 0.5 %

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  • 2)
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  • It will not oscillate at all
A tunnel is made across the earth of radius R, passing through its centre. A ball is dropped from a height h in the tunnel. The motion will be periodic with time period.
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    Physics-Oscillations-85147.png

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A and B are fixed points and the mass M is tied by straight at A and B. If the mass M is displaced slightly out of this plane and released, it will execute oscillation with period
(Given AM = BM = L, AB = 2d)
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  • 2)
    Physics-Oscillations-85153.png

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Time period of a simple pendulum of length l is T1 and time period of a uniform rod of the same length l pivoted about one end and oscillating in a vertical plane is T2. Amplitude of oscillations in both the cases in small. Then T1/T2 is

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  • 1

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What will be the force constant of the spring system shown in fig.
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  • 2)
    Physics-Oscillations-85162.png

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Two simple harmonic motions with the same frequency act on a particle at right angles i.e., along x and y. axis. if the two amplitudes are equal and the phase difference is π/2, the resultant motion will be
  • a straight line inclined at 45o to the x – axis
  • an ellipse with the major axis along x – axis
  • an ellipse with the major axis along y – axis
  • a circle
A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force F sin ωt. If the amplitude of the particle is maximum for ω = ω1 and the energy of the particle is maximum for ω = ω2 then
  • ω1 = ω0 and ω2 ≠ ω0
  • ω1 = ω0 and ω2 = ω0
  • ω1 ≠ ω0 and ω2 = ω0
  • ω1 ≠ ω0 and ω2 ≠ ω0
A uniform circular disc of mass 12 kg is held by two identical springs as shown in the figure. When the disc pressed down slightly and released, it executes SHM with a time period of 2s. The force constant of each spring is
Physics-Oscillations-85165.png
  • 236 N m–1
  • 118.3 N m–1
  • 59.15 N m–1
  • None of these
A particle executes simple harmonic motion with an angular velocity and maximum acceleration of 3.5 rad/sec and 7.5 m/s2 respectively. Amplitude of the oscillation is
  • 0.28 m
  • 0.36 m
  • 0.53 m
  • 0.61 m
A coin is placed on a horizontal platform, which undergoes vertical S.H.M. of angular frequency ω. The amplitude of oscillations is gradually increased. The coin will have contact with the platform for the first time. (i) at the higher position of the platform (ii) at the mean position of the platform (iii) for an amplitude of g/ω2 (iv) for an amplitude of √2/ω
  • only (i) is correct
  • (i) and(iv) are correct
  • (i), (ii) and(iii) are correct
  • only (iii) is correct
a simple pendulum of length I has a bob of mass m, with a charge q on it.A vertical sheet of charge with surface charge density σ passes through the point of suspension. At equilibrium, the spring makes an angle θ with the vertical. Its time period of oscillations T in this position. Then

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  • 2)
    Physics-Oscillations-85170.png

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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 T1 and to go from A/2 to A is T2. Then
  • T1 < T2
  • T1 > T2
  • T1 = T2
  • T1 = 2T2
A mass is suspended separately by two different springs in successive order then time periods is t1 and t2 respectively. If t is connected by both springs as shown in Fig., then time period is t0, the correct relation is
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    Physics-Oscillations-85176.png

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  • 2)
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  • 6/5
  • 5/6
  • 1
  • 4/5
A mass M is attached to a horizontal spring of force constant k fixed one side to a rigid support as shown in Fig. The mass oscillates on a frictionless surface with time period T and amplitude A. when the mass is in equilibrium position, another mass m is gently placed on it. What will be the new amplitude of oscillations?
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One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant k. A mass m hangs freely from the free end of the spring. The area of cross – section and Young’s modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T

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    Physics-Oscillations-85195.png

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A simple pendulum has a length l cm. Mass of the bob is m gram. The bob is given a charge of + q stat coulomb. The pendulum is suspended between the plates of a charged parallel plates capacitor. If E is the electric intensity between the plates as shown in the Fig. the time period T of the vibration is
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A simple pendulum has a bob suspended by an unextensible thread of length 1 metre from a point P. As he bob reaches one extreme position, the thread is caught by a peg at a point Q distant 0.25 m from P, and the bob begins to oscillate in the new position. The change in frequency of oscillation of the pendulum in Hz is nearly (take g = 10 m/s2)

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    Physics-Oscillations-85205.png

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The bob of a pendulum, is attached to a horizontal spring of spring constant k. the pendulum will undergo SHM with period
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    Physics-Oscillations-85211.png

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In a spring block system length of the spring is reduced by 2%, the time period will
  • increase by 2%
  • increase by 1%
  • decrease by 2%
  • decrease by 1%
Density of a liquid varies with depth as ρ = αh. A small ball of density ρ0 is released from the free surface of the liquid. Then
  • the ball will sink to a maximum depth of 3ρ0/α
  • the ball execute SHM of amplitude ρ0/α
  • the mean position of the ball will be at depth p0/2α from the free surface
  • all of the above.

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    Physics-Oscillations-85219.png

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A 2kg block is connected with two springs of force constant k1 = 100 N/m and k2 = 300 N/m, as shown in Fig. The block is released from rest with he springs unstretched. The acceleration of the block in its lowest position is (g = 10 m/s2)
Physics-Oscillations-85223.png
  • Zero
  • 5 m/s2 upwards
  • 10 m/s2 downwards
  • 10 m/s2 upwards
A mass m on the end of light spring of force constant k stretches the spring to a length l when at rest Fig. (a). The mass is now set into motion so it executes up and down vibrations while swinging back and forth as a pendulum. The mass moves in a figure – eight pattern in a vertical plane as shown in the Fig.(b). The force constant in terms
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  • 2)
    Physics-Oscillations-85227.png

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A uniform ring of radius π is suspended from its one point on the circumference about which it can rotate freely. If this ring is rotated slightly and then released, its time period of oscillation
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  • 2)
    Physics-Oscillations-85233.png

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Two simple pendulums having lengths 144 cm and 121 cm starts executing oscillations. At some time, both bobs of the pendulum are at the equilibrium positions and in same phase. After how many oscillations of the shorter pendulum will both the bob’s pass through the equilibrium position and will have same phase ?
  • 11
  • 12
  • 21
  • 20
A small spherical steel ball is placed at a distance slightly away from the center of a concave mirror having radius of curvature 250 cm. If the ball is released, it will now move on the curved surface. What will be the periodic time of this motion? Ignore frictional force and take g = 10 m/s2.

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  • 2)
    Physics-Oscillations-85239.png

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Two identical springs are attached at the opposite ends of a rod having length l and mass m. The rod could rotate about its mid-point O as shown in figure. Now, if the point A of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of this motion is .........
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A simple pendulum having length l is suspended at the roof of a train moving with constant acceleration ‘a’ along horizontal direction. The periodic time of this pendulum is....

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  • 2)
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  • 2)
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One end of a massless spring having force constant k and length 50 cm is attached at the upper end of a plane inclined at an angle è = 300 .When a body of mass m = 1.5 kg is attached at the lower end of the spring, the length of the spring increases by 2.5 cm. Now, if the mass is displaced by a small amount and released, the amplitude of the resultant oscillation is

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  • 2)
    Physics-Oscillations-85261.png

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  • Physics-Oscillations-85263.png
Two blocks A and B are attached to the two ends of a spring having length L and force constant k on a horizontal surface. Initially the system is in equilibrium. Now a third block having same mass m, moving with velocity v collides with block A. In this situation.........
Physics-Oscillations-85265.png
  • During maximum contraction of the spring, the kinetic energy of the system A–B will be zero
  • During maximum contraction of the spring, the kinetic energy of the system A–B will be mv2/4

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  • Physics-Oscillations-85267.png
The displacement of a particle is given by x = ACosωt. Which of the following graph represents variation in potential energy as a function of time t and displacement x.
Physics-Oscillations-85269.png
  • I, III
  • II, IV
  • II, III
  • I, IV
A system is executing S.H.M. The potential energy of the system for displacement x is E1 and for a displacement of y, the potential energy of the system is E2. The potential energy for a displacement of (x+y) is .........

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  • 2)
    Physics-Oscillations-85272.png

  • Physics-Oscillations-85273.png

  • Physics-Oscillations-85274.png
A system is executing S.H.M. with a periodic time of 4/5 s under the influence of force F1. When a force F2 is applied, the periodic time is (2/s. Now if F1 and F2 are applied simultaneously along the same direction, the periodic time will be .........

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  • 2)
    Physics-Oscillations-85277.png

  • Physics-Oscillations-85278.png

  • Physics-Oscillations-85279.png
The periodic time of a simple pendulum is 3.3 s. Now if the point of support of the pendulum starts moving along the vertically upward direction with a velocity v = kt ( where k = 2.1 m/s2), then the new periodic time is ............... s. { Take g = 10 m/s2}
  • 3
  • 2.5
  • 3.33
  • 2.33
A block is placed on a horizontal table. The table executes S.H.M. along the horizontal plane with a period T. The coefficient of static friction between the table and block is μ. The maximum amplitude of oscillation should be .........so that the block does not slide off the table.

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    Physics-Oscillations-85283.png

  • Physics-Oscillations-85284.png

  • Physics-Oscillations-85285.png
As shown in figure, a block A having mass M is attached to one end of a massless spring. The block is on a frictionless horizontal surface and the free end of the spring is attached to a wall. Another block B having mass ‘m’ is placed on top of block A. Now on displacing this system horizontally and released, it executes S.H.M. What should be the maximum amplitude of oscillation so that B does not slide off A? Coefficient of static friction between the surfaces of the block’s is μ.
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