JEE Questions for Physics Oscillations Quiz 1 - MCQExams.com

If a simple pendulum is taken to place where g decrease by 2%, then the time period
  • Decreases by 1%
  • Decreases by 2%
  • Increases by 2%
  • Increases by 1%
If a simple pendulum oscillates with an amplitude of 50 mm and time period of 2 s, then its maximum velocity is
  • 0.10 ms-1
  • 0.15 ms-1
  • 0.8 ms-1
  • 0.26 ms-1
Ratio of kinetic energy at mean position to potential energy at A/2 of a particle performing SHM
  • 2 : 1
  • 4 : 1
  • 8 : 1
  • 1 : 1
Two particles executes SHM of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions. Each time their displacement is half of their amplitude. The phase difference between them is
  • 30°
  • 60°
  • 90°
  • 120°
The displacement of a particle in SHM various according to the relation x = 4 (cosπt + sinπt). The amplitude of the particle is
  • –4
  • 4
  • 4√2
  • 8
The circular motion of a particle with constant speed is
  • simple harmonic but not periodic
  • periodic and simple harmonic
  • neither periodic nor simple harmonic
  • periodic but not simple harmonic
A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particle after 2T period from its initial position is
  • A
  • 4A
  • 8A
  • zero
Two particles A and B execute simple harmonic motion of period T and 5T/4. They start from mean position. The phase difference between them when the particle A complete an oscillation will be
  • π/2
  • zero
  • 2π/5
  • π/4

Physics-Oscillations-83796.png

  • Physics-Oscillations-83797.png
  • 2)
    Physics-Oscillations-83798.png

  • Physics-Oscillations-83799.png

  • Physics-Oscillations-83800.png
A particle executes simple harmonic motion with a time period of 16 s. At time t = 2 s, the particle crosses the mean position while at t = 4 s, velocity is 4 ms-1. The amplitude of motion in metre is

  • Physics-Oscillations-83802.png
  • 2)
    Physics-Oscillations-83803.png

  • Physics-Oscillations-83804.png

  • Physics-Oscillations-83805.png

  • Physics-Oscillations-83806.png
Two particles execute SHM of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite directions, each time their displacement is half their amplitude, the phase difference between them is

  • Physics-Oscillations-83808.png
  • 2)
    Physics-Oscillations-83809.png

  • Physics-Oscillations-83810.png

  • Physics-Oscillations-83811.png
The motion of a particle varies with time according to the relation, y = a (sin ωt + cos ωt) .
  • The motion is oscillatory but not SHM
  • The motion is SHM with amplitude a
  • The motion is SHM with amplitude a√2
  • The motion is SHM with amplitude 2a
A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T is

  • Physics-Oscillations-83814.png
  • independent of a

  • Physics-Oscillations-83815.png

  • Physics-Oscillations-83816.png
A 10 kg metal block is attached to a spring of spring constant 1000 Nm-1. A block is displaced from equilibrium position by 10 cm and released. The maximum acceleration of the block is
  • 10 ms-2
  • 100 ms-2
  • 200 ms-2
  • 0.1 ms-2
When a particle executing SHM oscillates with a frequency v, then the kinetic energy of the particle
  • changes periodically with a frequency of v
  • changes periodically with a frequency of 2v
  • changes periodically with a frequency of v/2
  • remains constant
When a spring is stretched by 10 cm, the potential energy stored is E. When the spring is stretched by 10 cm more, the potential energy stored in the spring becomes
  • 2E
  • 4E
  • 6E
  • 10E
Two particles are executing simple harmonic motion of the same amplitude A and frequency to along the X-axis. Their mean position is separated by distance x0 (x0 > A). If the maximum separation between them is (x0 + A), the phase difference between their motions is

  • Physics-Oscillations-83821.png
  • 2)
    Physics-Oscillations-83822.png

  • Physics-Oscillations-83823.png

  • Physics-Oscillations-83824.png
For a particle in SHM, if the amplitude of the displacement is a and the amplitude of velocity is v, the amplitude of acceleration is
  • va
  • 2)
    Physics-Oscillations-83826.png

  • Physics-Oscillations-83827.png

  • Physics-Oscillations-83828.png
A body is vibrating in simple harmonic motion. If its acceleration is 12 cms -2 at a displacement 3 cm, then time period is
  • 6.28 s
  • 3.14 s
  • 1.57 s
  • 2.57 s
Two simple harmonic motions of angular frequency 100 rad/s and 1000 rad/s have the same displacement amplitude. The ratio of their maximum accelerations is
  • 1 : 10
  • 1 : 102
  • 1 : 103
  • 1 : 104
The total energy of a simple harmonic oscillator is proportional to
  • square root of displacement
  • velocity
  • frequency
  • amplitude
  • square of the amplitude
A particle is oscillating in SHM. What fraction of total energy is kinetic when the particle is at A /2 from the mean position? (A is the amplitude of oscillation)

  • Physics-Oscillations-83835.png
  • 2)
    Physics-Oscillations-83836.png

  • Physics-Oscillations-83837.png
  • 3E
If a body is executing simple harmonic motion, then
  • at extreme positions, the total energy is zero
  • at equilibrium position, the total energy is in the form of potential energy
  • at equilibrium position, the total energy is in the form of kinetic energy
  • at extreme position, the total energy is infmite
In SHM restoring force is F = –k x, where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon
  • k , A and M
  • k , x and M
  • k and A
  • k and x
The KE and PE of a particle executing SHM of amplitude a will be equal when displacement'is

  • Physics-Oscillations-83840.png
  • 2)
    Physics-Oscillations-83841.png
  • 2a

  • Physics-Oscillations-83842.png
When the amplitude of a body executing SHM become twice, what happens ?
  • Maximum potential energy is doubled
  • Maximum kinetic energy is doubled
  • Total energy is doubled
  • Maximum velocity is doubled
A particle is executing SHM at mid-point of mean position and extremely. What is the potential energy in terms of total energy (E)?

  • Physics-Oscillations-83845.png
  • 2)
    Physics-Oscillations-83846.png

  • Physics-Oscillations-83847.png

  • Physics-Oscillations-83848.png
The function x = Asin2 wt + B cos2 wt + C sin wt coswt represent SHM for which of the option(s)
  • for all value of A, B and C (C ≠ 0)
  • A = B, C = 2B
  • A = –B, C = 2B
  • A = B, C = 0
A particle executes SHM with a period of 8 s and amplitude 4 cm. Its maximum speed in cms -1, is
  • π
  • 2)
    Physics-Oscillations-83851.png

  • Physics-Oscillations-83852.png

  • Physics-Oscillations-83853.png
The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y = 3sin (0.2t) in SI units. The KE of the particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position is
  • 12 × 10-3 J
  • 25 × 10-3 J
  • 0.48 × 10-3 J
  • 0.24 × 10-3 J
Consider the following statements The total energy of a particle executing simple harmonic motion depends on its
I. amplitude
II. period
III. displacement
of these statements
  • I and II are correct
  • II and III are correct
  • I and III are correct
  • I, II and III are correct
A particle moves with simple harmonic motion in a straight line. In first t sec, after starting from rest it travels a distance a and in next τ sec, it travels 2a, in same direction, then
  • amplitude of motion is 3a
  • time period of oscillations is 8π
  • amplitude of motion is 4a
  • time period of oscillations is 6π
For a damped harmonic oscillator of mass 250 g, the value of spring constant (k) and damping (b) are 85 Nm-1, and 70 g s -1, respectively. What is the period of motion?
  • 0.34 s
  • 5.0 s
  • 6.25 s
  • 7.2 s
A particle of mass 200 g is making SHM under the influence of a spring of force constant, k = 90 N/m and a damping constant, b = 40 g /s. Calculate the time elapsed for the amplitude to drop to half its initial value (given, In (1/= 0.
  • 11 s
  • 7 s
  • 9 s
  • 4 s
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is
  • 3 HZ
  • 2 HZ
  • 4 HZ
  • 1 HZ
The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2x 10-2 cos πt metre. The time at which the maximum speed first occurs is
  • 0.5 s
  • 0.6 s
  • 0.125 s
  • 0.25 s

Physics-Oscillations-83862.png
  • Restoring torque in case A = Restoring torque in case B
  • restoring torque in case A < Restoring torque in case B
  • Angular frequency for case A > angular frequency for case B.
  • Angular frequency for case A < Angular frequency for case B.
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
The function sin 2(ωt ) represents
Physics-Oscillations-83864.png
  • a periodic, but not simple harmonic motion with a period 2π/ω
  • a periodic, but not simple harmonic motion with a period π/ω
  • a simple harmonic motion with a period 2π/ω
  • a simple harmonic motion with a period π/ω
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
  • first increase and then decrease to the original value
  • first decrease and then increase to the original value
  • remain unchanged
  • increase towards a saturation value
If two springs A and B with spring constants 2 k and k, are stretched separately by same suspended weight, then the ratio between the work done in stretching A and B is
  • 1 : 2
  • 1 : 4
  • 1 : 3
  • 4 : 1
A body of mass 4 kg hangs from a spring and oscillates with a period of 0.5 son the removal of the body, the spring is shortened by
  • 6.2 cm
  • 0.63 cm
  • 6.25 cm
  • 6.3 cm
  • 0.625 cm
Two identical springs are connected to mass m as shown, (k = spring constant). If the period of the configuration in (i) is 2 s, the period of the configuration in (ii) is
Physics-Oscillations-83869.png
  • 2√2 s
  • 1 s

  • Physics-Oscillations-83870.png
  • √2s
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T/2? (g is acceleration due to gravity)
  • 2 g
  • 3 g
  • 4 g
  • g
The graph between the time period and the length of a simple pendulum is
  • straight line
  • curve
  • ellipse
  • parabola
A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to oscillate. As, the water slowly flow out of the hole at the bottom, the period of oscillation will
  • continuously decrease
  • continuously increase
  • first decrease then increase
  • first increase then decrease
How does time period of a pendulum vary with length?

  • Physics-Oscillations-83875.png
  • 2)
    Physics-Oscillations-83876.png

  • Physics-Oscillations-83877.png

  • Physics-Oscillations-83878.png
A pendulum of length 1 m is released from 0 = 60°. The rate of change of speed of the bob at 0 =30° is (take, g =10 ms-2 )
  • 10 ms-2
  • 7.5 ms-2
  • 5 ms-2
  • 5√3 ms-2

Physics-Oscillations-83881.png
  • 4 Nm-1
  • 3 Nm-1
  • 2 Nm-1
  • 5 Nm-1
The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is
  • 11%
  • 21%
  • 42%
  • 10.5%
0:0:1


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