JEE Questions for Physics Oscillations Quiz 3 - MCQExams.com

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then, its time period in sec is

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  • 2)
    Physics-Oscillations-84039.png

  • Physics-Oscillations-84040.png

  • Physics-Oscillations-84041.png

Physics-Oscillations-84043.png
  • 0.04
  • 0.01
  • 1
  • 5

Physics-Oscillations-84045.png

  • Physics-Oscillations-84046.png
  • 2)
    Physics-Oscillations-84047.png

  • Physics-Oscillations-84048.png

  • Physics-Oscillations-84049.png
A spring balance has a scale that reads from 0 to 60 kg. The length of the scale is 30 cm. A body suspended from this balance and when displaced are released, oscillates with a period of 0.8 s, what is the weight of the body when oscillating?
  • 350.67 N
  • 540.11 N
  • 311.24 N
  • 300.5 N
This question has Statement I and Statement H. Of the four choices given after the statements, choose the one that best describes the two statements.
If two springs S1 and S2 of force constants k1 and k2 , respectively are stretched by the same force, it is found that more work is done on the spring S1 than on spring S2 .
Statement I If stretched by the same amount, work done on S1, will be more than that on S2.
Statement II k1 < k2
  • Statement I is incorrect, Statement II is correct
  • Statement I correct, Statement II is incorrect
  • Statement I is correct, Statement II is correct, Statement II is the correct explanation for Statement I
  • Statement I is correct, Statement II is correct, Statement II is incorrect explanation of Statement I.
If a simple pendulum has significant amplitude (upto a factor of 1/ e of original) only in the period between t = 0 s to t = τ s, then τ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in sec

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  • 2)
    Physics-Oscillations-84054.png

  • Physics-Oscillations-84055.png

  • Physics-Oscillations-84056.png
If ks, and kp respectively are effective spring constant in series and parallel combination of springs as shown in figure,
Physics-Oscillations-84058.png

  • Physics-Oscillations-84059.png
  • 2)
    Physics-Oscillations-84060.png

  • Physics-Oscillations-84061.png

  • Physics-Oscillations-84062.png
A metal rod of length Land mass m is pivoted at one end. A thin disc of mass M and radius R (< L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached case A-the disc is not free to rotate about its centre and case B-the disc is free to rotate about its centre. The rod disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is /are correct?
  • 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

Physics-Oscillations-84065.png

  • Physics-Oscillations-84066.png
  • 2)
    Physics-Oscillations-84067.png

  • Physics-Oscillations-84068.png

  • Physics-Oscillations-84069.png
Two identical pendulums are oscillating with amplitudes 4 cm and 8 cm. The ratio of their energies of oscillation will be
  • 1/3
  • 1/4
  • 1/9
  • 1/2
The period of a simple pendulum inside a stationary lift is T. The lift accelerates upwards with an acceleration of g /3. The time period of pendulum will be

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  • 2)
    Physics-Oscillations-84073.png

  • Physics-Oscillations-84074.png

  • Physics-Oscillations-84075.png

  • Physics-Oscillations-84076.png
Two springs are joined and attached to a mass of 16 kg. This system is then suspended vertically from a rigid support. The spring constant of the two springs are k1 and k2, respectively. The period of vertical oscillations of the system will be

  • Physics-Oscillations-84078.png
  • 2)
    Physics-Oscillations-84079.png

  • Physics-Oscillations-84080.png

  • Physics-Oscillations-84081.png
Two springs of force constants k1 and k2 are connected as shown. The effective spring constant k is
Physics-Oscillations-84083.png
  • k1 + k2
  • 2)
    Physics-Oscillations-84084.png
  • k1k2
  • 2k1k2
The angular amplitude of a simple pendulum is θ0. The maximum tension in its string will be

  • Physics-Oscillations-84086.png
  • 2)
    Physics-Oscillations-84087.png

  • Physics-Oscillations-84088.png

  • Physics-Oscillations-84089.png
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 is small. Then, T1/T2 is

  • Physics-Oscillations-84091.png
  • 2)
    Physics-Oscillations-84092.png

  • Physics-Oscillations-84093.png

  • Physics-Oscillations-84094.png
Two springs of force constants k1 and k2, are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both k1 and k2 are made four times their original values, the frequency of oscillation becomes
Physics-Oscillations-84096.png
  • f/2
  • f/4
  • 4f
  • 2f

Physics-Oscillations-84098.png
  • 3/5
  • 25/9
  • 16/9
  • 5/3
A simple pendulum is released from A, as shown in the figure. If m and l represent the mass of the bob and length of the pendulum, the gain kinetic energy at B is
Physics-Oscillations-84100.png

  • Physics-Oscillations-84101.png
  • 2)
    Physics-Oscillations-84102.png

  • Physics-Oscillations-84103.png

  • Physics-Oscillations-84104.png
A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 Nm-1. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan? (take, g = 10ms-2)
Physics-Oscillations-84106.png
  • 8.0 cm
  • 10.0 cm
  • Any value less than 12.0 cm
  • 4.0 cm
A uniform spring of force constant k is cut into two pieces whose lengths are in the ratio of 1:2. What is the force constant of second piece in terms of k?

  • Physics-Oscillations-84108.png
  • 2)
    Physics-Oscillations-84109.png

  • Physics-Oscillations-84110.png

  • Physics-Oscillations-84111.png
A girl swings on cradle in a sitting position. If she stands what happens to the time period of girl and cradle?
  • Time period decreases
  • Time period increases
  • Remains constant
  • First increases and then remains constant
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 cm? (take, g = 9. 8 ms-2)
Physics-Oscillations-84114.png
  • 2.2 ms-1
  • 1.8 ms-1
  • 1.4 ms-1
  • 0.6 ms-1
The pendulum bob has a speed of 3 ms-1 at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of 60° to the vertical will be (take, g =10 ms-2)

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  • 2)
    Physics-Oscillations-84117.png

  • Physics-Oscillations-84118.png

  • Physics-Oscillations-84119.png

Physics-Oscillations-84121.png
  • 6/5
  • 5/6
  • 1
  • 4/5
A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle θ with the vertical. The restoring force acting on the pendulum is
  • mg tanθ
  • mg sinθ
  • –mg sinθ
  • –mg cosθ
A point mass m is suspended at the end of a massless wire of length L and cross-section area A. If Y is the Young's modulus for the wire, then the frequency of oscillations for the SHM along the vertical line is

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  • 2)
    Physics-Oscillations-84125.png

  • Physics-Oscillations-84126.png

  • Physics-Oscillations-84127.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. The amplitude of oscillations is

  • Physics-Oscillations-84129.png
  • 2)
    Physics-Oscillations-84130.png

  • Physics-Oscillations-84131.png

  • Physics-Oscillations-84132.png
The ratio of frequencies of two pendulums are 2 : 3, then their lengths are in ratio

  • Physics-Oscillations-84134.png
  • 2)
    Physics-Oscillations-84135.png
  • 4/9
  • 9/4
The length of the second's pendulum is decreased by 0.3 cm when it is shifted to Chennai from London. If the acceleration due to gravity at London is 981 cms-2, the acceleration due to gravity at Chennai is (assume, π2 =10 )
  • 981 cms-2
  • 978 cms-2
  • 984 cms-2
  • 975 cms-2
Which one of the following combination of Lissajous' figure will be like eight (8)?

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  • 2)
    Physics-Oscillations-84139.png

  • Physics-Oscillations-84140.png

  • Physics-Oscillations-84141.png

Physics-Oscillations-84143.png
  • free vibration
  • damped vibration
  • forced vibration
  • resonance
The spring constant from the adjoining combination of springs is
Physics-Oscillations-84144.png
  • K
  • 2K
  • 4K
  • 5K/2
In case of a forced vibrations, the resonance wave becomes very sharp when the
  • damping force is small
  • restoring force is small
  • applied periodic force is small
  • quality factor is small
If the equation for a particle performing S.H.M. is given by y = Sin2t + √3 Cos2t, its periodic time will be ...........s.
  • 21
  • p
  • 2p
  • 4p
The distance travelled by a particle performing S.H.M. during time interval equal to its periodic time is ........
  • A
  • 2A
  • 4A
  • zero
As shown in figure, two masses of 3.0 kg and 1.0 kg are attached at the two ends of a spring having force constant 300 N m-1 . The natural frequency of oscillation for the system will be ............hz. ( Ignore friction )
Physics-Oscillations-84147.png
  • 1/4
  • 1/3
  • 4
  • 3
The amplitude for a S.H.M. given by the equation x = 3Sin3pt + 4Cos3pt is .........m.
  • 5
  • 7
  • 4
  • 3
The increase in periodic time of a simple pendulum executing S.H.M. is .............when its length is increased by 21%.
  • 42 %
  • 10%
  • 11%
  • 21%.
A particle executing S.H.M. has an amplitude A and periodic time T. The minimum time required by the particle to get displaced by A/√2 from its equilibrium position is ........ s.
  • T
  • T/4
  • T/8
  • T/16
At what position will the potential energy of a S.H.O. become equal to one third its kinetic energy ?

  • Physics-Oscillations-84152.png
  • 2)
    Physics-Oscillations-84153.png

  • Physics-Oscillations-84154.png

  • Physics-Oscillations-84155.png
Three identical springs are shown in figure. When a 4 kg mass is suspended from spring A, its length increases by 1cm. Now if a 6 kg mass is suspended from the free end of spring C, then increase in its length is .........cm.
Physics-Oscillations-84157.png
  • 1.5
  • 3.0
  • 4.5
  • 6.0
The periodic time of a S.H.O. oscillating about a fixed point is 2 s. After what time will the kinetic energy of the oscillator become 25% of its total energy?
  • 1/12 s
  • 1/6 s
  • 1⁄4 s
  • 1/3 s
As shown in figure, the object having mass M is executing S.H.M. with an amplitude A. The amplitude of point P shown in figure will be .......
Physics-Oscillations-84160.png

  • Physics-Oscillations-84161.png
  • 2)
    Physics-Oscillations-84162.png

  • Physics-Oscillations-84163.png

  • Physics-Oscillations-84164.png
A particle is executing S.H.M. between x = - A and x = +A. If the time taken by the particle to travel from x = 0 to A/2 is T1 and that taken to travel from x = A/2 to x = A is T2 , then ..........
  • T1 < T2
  • T1 > T2
  • T1 = 2T2
  • T1 = T2
The average values of potential energy and kinetic energy over a cycle for a S.H.O. will be .................... respectively.

  • Physics-Oscillations-84167.png
  • 2)
    Physics-Oscillations-84168.png

  • Physics-Oscillations-84169.png

  • Physics-Oscillations-84170.png

Physics-Oscillations-84172.png
  • 90o
  • 112o
  • 72o
  • 45o
The maximum velocity and maximum acceleration of a particle executing S.H.M. are 1 m/s and 3.14 m/s2 respectively. The frequency of oscillation for this particle is ........
  • 0.5 s-1
  • 3.14 s-1
  • 0.25 s-1
  • 2 s-1
As shown in figure (a) and (b), a body of mass m is attached at the ends of the spring system. All springs have the same spring constant k. Now when both systems oscillates along vertical direction, the ratio of their periodic time is ........
Physics-Oscillations-84175.png
  • 1/4
  • 1/2
  • 2
  • 4
A simple pendulum is executing S.H.M. around point O between the end points B and C with a periodic time of 6 s. If the distance between B and C is 20 cm then in what time will the bob move from C to D ? Point D is at the mid-point of C and O.
  • 1s
  • 2s
  • 3s
  • 4s
Statement – 1: The periodic time of a stiff spring is less than that of a soft spring.
Statement – 2: The periodic time of a spring depends on its force constant value and for a stiff spring, it is more.
  • Statement – 1 is true, statement – 2 is true; statement – 2 is the correct explanation of statement – 1
  • Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation of statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 1 is false, statement – 2 is true
0:0:1


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