JEE Questions for Physics Oscillations Quiz 9 - MCQExams.com

The S.H.M. of a particle is given by the equation y = 3 sin ωt + 4 cos ωt. The amplitude is
  • 7
  • 1
  • 5
  • 12
If the displacement equation of a particle be represented by y = A sin PT + B cos PT, the particle executes
  • A uniform circular motion
  • A uniform elliptical motion
  • A S.H.M.
  • A rectilinear motion
The motion of a particle varies with time according to the relation y = a (sin ωt + cos ωt), then
  • The motion is oscillatory but not S.H.M.
  • The motion is S.H.M. with amplitude a
  • The motion is S.H.M with amplitude a√2
  • The motion is S.H.M. with amplitude 2a
The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of π results in the displacement of the particle along
  • Straight line
  • Circle
  • Ellipse
  • Figure of eight
Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be
  • A circle
  • An ellipse
  • A straight line
  • A parabola
The displacement of a particle varies according to the relation x = 4(cos πt + sin πt). The amplitude of the particle is
  • 8
  • –4
  • 4

  • Physics-Oscillations-84840.png

Physics-Oscillations-84842.png
  • 10 cm
  • 20 cm

  • Physics-Oscillations-84843.png
  • 50 cm
Resonance is an example of
  • Tuning fork
  • Forced vibration
  • Free vibration
  • Damped vibration

Physics-Oscillations-84845.png
  • 7
  • 1

  • Physics-Oscillations-84846.png

  • Physics-Oscillations-84847.png
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 (where ω0 natural frequency of oscillation of particle)
  • ω1 = ω0 and ω2 ≠ ω0
  • ω1 = ω0 and ω2 = ω0
  • ω1 ≠ ω0 and ω2 = ω0
  • ω1 ≠ ω0 and ω2 ≠ ω0
In damped oscillations, the amplitude of oscillations is reduced to one-third of its initial value a0 at the end of 100 oscillations. When the oscillator completes 200 oscillations, its amplitude must be
  • a0/2
  • a0/4
  • a0/6
  • a0/9

Physics-Oscillations-84851.png
  • 1 : 1
  • 1 : 2
  • 2 : 1

  • Physics-Oscillations-84852.png
A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants k. The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle θ in one direction and released. The frequency of oscillation is
Physics-Oscillations-84854.png

  • Physics-Oscillations-84855.png
  • 2)
    Physics-Oscillations-84856.png

  • Physics-Oscillations-84857.png

  • Physics-Oscillations-84858.png

Physics-Oscillations-84860.png

  • Physics-Oscillations-84861.png
  • 2)
    Physics-Oscillations-84862.png

  • Physics-Oscillations-84863.png

  • Physics-Oscillations-84864.png
A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be
Physics-Oscillations-84866.png

  • Physics-Oscillations-84867.png
  • 2)
    Physics-Oscillations-84868.png

  • Physics-Oscillations-84869.png

  • Physics-Oscillations-84870.png
The amplitude of vibration of a particle is given by am = (a0) / (aω2 – bω + c); where a0, a, b and c are positive. The condition for a single resonant frequency is
  • b2 = 4ac
  • b2 > 4ac
  • b2 = 5ac
  • b2 = 7 ac
A particle is performing simple harmonic motion along x-axis with amplitude 4 cm and time period 1.2 s. The minimum time taken by the particle to move from x = 2 cm to x = + 4 cm and back again is given by
  • 0.6 s
  • 0.4 s
  • 0.3 s
  • 0.2 s
A large horizontal surface moves up and down in S.H.M. with an amplitude of 1 cm. If a mass of 10 kg (which is placed on the surface) is to remain continually in contact with it, the maximum frequency of S.H.M. will be
  • 0.5 Hz
  • 1.5 Hz
  • 5 Hz
  • 10 Hz
Due to some force F1 a body oscillates with period and 4/5 s and due to other force F2 oscillates with period 3/5 s. If both forces act simultaneously, the new period will be
  • 0.72 s
  • 0.64 s
  • 0.48 s
  • 0.36 s
A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92 × 10–3 m. What must be the least period of these oscillations, so that the object is not deteched from the platform
  • 0.1256 s
  • 0.1356 s
  • 0.1456 s
  • 0.1556 s
A particle executes simple harmonic motion (amplitude = A) 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 = 2 T2
The bob of a simple pendulum is displaced from its equilibrium position O to a position Q which is at height h above O and the bob is then released. Assuming the mass of the bob to be m and time period of oscillations to be 2.0 s, the tension in the string when the bob passes through O is
Physics-Oscillations-84878.png

  • Physics-Oscillations-84879.png
  • 2)
    Physics-Oscillations-84880.png

  • Physics-Oscillations-84881.png

  • Physics-Oscillations-84882.png
The metallic bob of a simple pendulum has the relative density ρ. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by

  • Physics-Oscillations-84884.png
  • 2)
    Physics-Oscillations-84885.png

  • Physics-Oscillations-84886.png

  • Physics-Oscillations-84887.png
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-84889.png
  • 2)
    Physics-Oscillations-84890.png

  • Physics-Oscillations-84891.png

  • Physics-Oscillations-84892.png
The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is t0 in air. Neglecting frictional force of water and given that the density of the bob is (4/× 1000 kg/m3. What relationship between t and t0 is true
  • t = t0
  • t = t0/2
  • t = 2t0
  • t = 4t0
A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of
  • (2/3)k
  • (3/2)k
  • 3k
  • 6k
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 equal to

  • Physics-Oscillations-84896.png
  • 2)
    Physics-Oscillations-84897.png

  • Physics-Oscillations-84898.png

  • Physics-Oscillations-84899.png
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 supports. If each spring has force constant K, the period of oscillation of the body (assuming the springs as massless) is
Physics-Oscillations-84901.png

  • Physics-Oscillations-84902.png
  • 2)
    Physics-Oscillations-84903.png

  • Physics-Oscillations-84904.png

  • Physics-Oscillations-84905.png
A particle of mass m is attached to a spring ( of spring constant k) and has a natural angular frequency ω0. An external force F (t) proportional to cos ωt(ω ≠ ω0) is applied to the oscillator. The time displacement of the oscillator will be proportional to

  • Physics-Oscillations-84907.png
  • 2)
    Physics-Oscillations-84908.png

  • Physics-Oscillations-84909.png

  • Physics-Oscillations-84910.png
An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is
  • 4 Mg/K
  • 2 Mg/K
  • Mg/K
  • Mg/2K
The displacement y of a particle executing periodic motion is given by y = 4 cos2 (t/sin (1000 t). This expression may be considered to be a result of the superposition of .... independent harmonic motions
  • Two
  • Three
  • Four
  • five
A brass cube of side a and density σ is floating in mercury of density ρ. If the cube is displaced a bit vertically, it executes S.H.M. Its time period will be

  • Physics-Oscillations-84919.png
  • 2)
    Physics-Oscillations-84920.png

  • Physics-Oscillations-84921.png

  • Physics-Oscillations-84922.png
Two identical balls A and B each of mass 0.1 kg are attached to two identical massless springs. The spring mass system is constrained to move inside a rigid smooth pipe bent in the form of a circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can move in a circle of radius 0.06 m. Each spring has a natural length of 0.06 π m and force constant 0.1 N/m. Initially both the balls are displaced by an angle θ = π/6 radian with respect to the diameter PQ of the circle and released from rest. the frequency of oscillation of the ball B is
Physics-Oscillations-84924.png

  • Physics-Oscillations-84925.png
  • 2)
    Physics-Oscillations-84926.png

  • Physics-Oscillations-84927.png

  • Physics-Oscillations-84928.png
A disc of radius R and mass M is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be

  • Physics-Oscillations-84930.png
  • 2)
    Physics-Oscillations-84931.png

  • Physics-Oscillations-84932.png

  • Physics-Oscillations-84933.png
One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance x0 from the block. The spring is then compressed by 2 x0 and released. The time taken to strike the wall is
Physics-Oscillations-84935.png

  • Physics-Oscillations-84936.png
  • 2)
    Physics-Oscillations-84937.png

  • Physics-Oscillations-84938.png

  • Physics-Oscillations-84939.png
Three masses 700 g, 500 g and 400 g are suspended at the end of a spring a shown and are in equilibrium. When the 700 g mass is removed, the system oscillates with a period of 3 seconds, when the 500 g mass is also removed, it will oscillate with a period of
Physics-Oscillations-84941.png
  • 1 s
  • 2 s
  • 3 s

  • Physics-Oscillations-84942.png
A particle of mass m is attached to three identical springs A, B and C each of force constant k as shown in figure. If the particle of mass m is pushed slightly against the spring A and released then the time period of oscillations is
Physics-Oscillations-84944.png

  • Physics-Oscillations-84945.png
  • 2)
    Physics-Oscillations-84946.png

  • Physics-Oscillations-84947.png

  • Physics-Oscillations-84948.png
A hollow sphere is filled with water through a small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flows out of the hole at the bottom, the period of oscillation will
  • Continuously decrease
  • Continuously increase
  • First decrease and then increase to original value
  • First increase and then decrease to original value

Physics-Oscillations-84951.png

  • Physics-Oscillations-84952.png
  • 2)
    Physics-Oscillations-84953.png

  • Physics-Oscillations-84954.png

  • Physics-Oscillations-84955.png
A particle is executing S.H.M. Then the graph of acceleration as a function of displacement is
  • A straight line
  • A circle
  • An ellipse
  • A hyperbola
The displacement time graph of a particle executing S.H.M. is as shown in the figure
The corresponding force-time graph of the particle is
Physics-Oscillations-84958.png

  • Physics-Oscillations-84959.png
  • 2)
    Physics-Oscillations-84960.png

  • Physics-Oscillations-84961.png

  • Physics-Oscillations-84962.png
The graph shown the variation of displacement of a particle executing S.H.M. with time. We infer from this graph that
Physics-Oscillations-84964.png
  • The force is zero at time 3T/4
  • The velocity is maximum at time T/2
  • The acceleration is maximum at time T
  • The P.E. is equal to total energy at time T/2
For a particle executing S.H.M. the displacement x is given by x = A cos ωt. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x
Physics-Oscillations-84966.png
  • I, III
  • II, IV
  • II, III
  • I, IV
The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is
Physics-Oscillations-84968.png
  • 25 Hz
  • 50 Hz
  • 12.25 Hz
  • 33.3 Hz
A body of mass 0.01 kg executives simple harmonic motion (S.H.M.) about x = 0 under the influence of a force shown below . The period of the S.H.M.is
Physics-Oscillations-84970.png
  • 1.05 s
  • 0.52 s
  • 0.25 s
  • 0.30 s
For a simple pendulum the graph between L and T will be
  • Hyperbola
  • Parabola
  • A curved line
  • A straight line
In case of a simple pendulum, time period versus length is depicted by

  • Physics-Oscillations-84973.png
  • 2)
    Physics-Oscillations-84974.png

  • Physics-Oscillations-84975.png

  • Physics-Oscillations-84976.png
The variation of the acceleration a of the particle executing S.H.M. with displacement y is as shown in the figure

  • Physics-Oscillations-84978.png
  • 2)
    Physics-Oscillations-84979.png

  • Physics-Oscillations-84980.png

  • Physics-Oscillations-84981.png
Acceleration A and time period T of a body in S.H.M. is given by a curve shown below. Then corresponding graph, between kinetic energy (K.E.) and time t is correctly represented by
Physics-Oscillations-84982.png

  • Physics-Oscillations-84983.png
  • 2)
    Physics-Oscillations-84984.png

  • Physics-Oscillations-84985.png

  • Physics-Oscillations-84986.png
The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is
Physics-Oscillations-84987.png
  • 1 × 102 N/m
  • 150 N/m
  • 0.667 × 102 N/m
  • 3 × 102 N/m
0:0:1


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