JEE Questions for Physics Oscillations Quiz 8 - MCQExams.com

The amplitude of an oscillating simple pendulum is 10 cm and its period is 4 s. Its speed after 1 s after it passes its equilibrium position, is
  • Zero
  • 0.57 m/s
  • 0.212 m/s
  • 0.32 m/s
A pendulum of length 2 m lift at P. When it reaches Q, it losses 10% of its total energy due to air resistance. The velocity at Q is
Physics-Oscillations-84686.png
  • 6 m/s
  • 1 m/s
  • 2 m/s
  • 8 m/s
The periodic time of a simple pendulum of length 1 m and amplitude 2 cm is 5 seconds. If the amplitude is made 4 cm, its periodic time in seconds will be
  • 2.5
  • 5
  • 10

  • Physics-Oscillations-84688.png
The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratio

  • Physics-Oscillations-84689.png
  • 2)
    Physics-Oscillations-84690.png
  • 4/9
  • 9/4
A simple pendulum hanging from the ceiling of a stationary lift has a time period T1. When the lift moves downward with constant velocity, the time period is T2, then
  • T2 is infinity
  • T2 > T1
  • T2 < T1
  • T2 = T1
If the length of a pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes
  • 3T
  • 3/2T
  • 4T
  • 2T
A simple pendulum is suspended from the ceiling of a stationary elevator and its period of oscillation is T. The elevator is then set into motion and the new time period is found to be longer. Then the elevator is
  • Accelerated upward
  • Accelerated downward
  • Moving downward with non-uniform speed
  • Moving downward with uniform speed
A pendulum bob of mass m is hanging from a fixed point by a light thread of length l. A horizontal speed v0 is imparted to the bob so that it takes up horizontal position. If g is the acceleration due to gravity, then v0 is
  • mgl
  • 2)
    Physics-Oscillations-84694.png

  • Physics-Oscillations-84695.png
  • gl
If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τs, 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 seconds
  • 0.693/b
  • b
  • 1/b
  • 2/b
Two springs of spring constants k1 and k2 are connected as shown. The effective spring constant ke =
Physics-Oscillations-84698.png

  • Physics-Oscillations-84699.png
  • 2)
    Physics-Oscillations-84700.png

  • Physics-Oscillations-84701.png

  • Physics-Oscillations-84702.png
The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is
Physics-Oscillations-84704.png

  • Physics-Oscillations-84705.png
  • 2)
    Physics-Oscillations-84706.png

  • Physics-Oscillations-84707.png

  • Physics-Oscillations-84708.png
Two identical springs of constant K are connected in series and parallel as shown in figure. A mass m is suspended from them. The ratio of their frequencies of vertical oscillations will be
Physics-Oscillations-84710.png
  • 2 : 1
  • 1 : 1
  • 1 : 2
  • 4 : 1
A mass m is suspended from the two coupled springs connected in series. The force constant for springs are K1. and K2. The time period of the suspended mass will be

  • Physics-Oscillations-84712.png
  • 2)
    Physics-Oscillations-84713.png

  • Physics-Oscillations-84714.png

  • Physics-Oscillations-84715.png

Physics-Oscillations-84717.png
  • 9/16
  • 25/16
  • 4/5
  • 5/4
A weightless spring which has a force constant oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2 m is suspended from it. The frequency of oscillation will now become
  • n
  • 2n

  • Physics-Oscillations-84719.png

  • Physics-Oscillations-84720.png
A mass M is suspended from a light spring. An additional mass m added displaces the spring further by a distance x. Now the combined mass will oscillate on the spring with period

  • Physics-Oscillations-84722.png
  • 2)
    Physics-Oscillations-84723.png

  • Physics-Oscillations-84724.png

  • Physics-Oscillations-84725.png
A particle of mass 200 gm executes S.H.M. The restoring force is provided by a spring of force constant 80 N/m. The time period of oscillations is
  • 0.31 s
  • 0.15 s
  • 0.05 s
  • 0.02 s
The length of a spring is l and its force constant is k. When a weight W is suspended from it, its length increases by x. If the spring is cut into two equal parts and put in parallel and the same weight W is suspended from them, then the extension will be

  • Physics-Oscillations-84728.png
  • 2)
    Physics-Oscillations-84729.png

  • Physics-Oscillations-84730.png

  • Physics-Oscillations-84731.png
A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants K1. and K2. If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be

  • Physics-Oscillations-84733.png
  • 2)
    Physics-Oscillations-84734.png

  • Physics-Oscillations-84735.png

  • Physics-Oscillations-84736.png
A mass m = 100 g is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to 0.16 metre and time period equal to 2 sec. Initially the mass is released from rest at t = 0 and displacement x = – 0.16 metre. The expression for the displacement of the mass at any time t is
  • x = 0.16 cos (πt )
  • x = – 0.16 cos (πt)
  • x = 0.16 sin (πt + π)
  • x = – 0.16 sin (πt + π)
A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then

  • Physics-Oscillations-84739.png
  • 2)
    Physics-Oscillations-84740.png

  • Physics-Oscillations-84741.png

  • Physics-Oscillations-84742.png
The force constants of two springs are K1 and K2. Both are stretched till their elastic energies are equal. If the stretching forces are F1 and F2, then F1 : F2 is

  • Physics-Oscillations-84744.png
  • 2)
    Physics-Oscillations-84745.png

  • Physics-Oscillations-84746.png

  • Physics-Oscillations-84747.png
A mass m is vertically suspended from a spring of negligible mass, the system oscillates with a frequency n. What will be the frequency of the system if a mass 4 m is suspended from the same spring
  • n/4
  • 4n
  • n/2
  • 2n
Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configuration (i), (ii) and (iii) are in the ratio
Physics-Oscillations-84750.png

  • Physics-Oscillations-84751.png
  • 2)
    Physics-Oscillations-84752.png

  • Physics-Oscillations-84753.png

  • Physics-Oscillations-84754.png
If a watch with a wound spring is taken on to the moon, it
  • Runs faster
  • Runs slower
  • Does not work
  • Shows no change
Two springs have spring constants KA and KB and KA > KB. The work required to stretch them by same extension will be
  • More in spring A
  • More in spring B
  • Equal in both
  • Nothing can be said
The effective spring constant of two spring system as shown in figure will be
Physics-Oscillations-84757.png
  • K1 + K2
  • K1K2/ K1 + K2
  • K1 – K2
  • K1K2 / K1 – K2
The scale of a spring balance reading from 0 to 10 kg is 0.25 m long. A body suspended from the balance oscillates vertically with a period of π/10 second. The mass suspended is (neglect the mass of the spring)
  • 10 kg
  • 0.98 kg
  • 5 kg
  • 20 kg
If a spring has time period T, and is cut into n equal parts, then the time period of each part will be

  • Physics-Oscillations-84760.png
  • 2)
    Physics-Oscillations-84761.png

  • Physics-Oscillations-84762.png

  • Physics-Oscillations-84763.png
Two springs of force constants K and 2K are connected to a mass as shown below. The frequency of oscillation
Physics-Oscillations-84765.png

  • Physics-Oscillations-84766.png
  • 2)
    Physics-Oscillations-84767.png

  • Physics-Oscillations-84768.png

  • Physics-Oscillations-84769.png
A particle at the end of a spring executes simple harmonic motion with a period t1, while the corresponding period for another spring is t2. If the period of oscillation with the two springs in series is T, then

  • Physics-Oscillations-84771.png
  • 2)
    Physics-Oscillations-84772.png

  • Physics-Oscillations-84773.png

  • Physics-Oscillations-84774.png
Infinite springs with force constant k, 2k, 4k and 8k... respectively are connected in series. The effective force constant of the spring will be
  • 2k
  • k
  • k/2
  • 2048
The springs shown are identical. When A = 4 kg, the elongation of spring is 1 cm. If B = 6 kg, the elongation produced by it is
Physics-Oscillations-84777.png
  • 4 cm
  • 3 cm
  • 2 cm
  • 1 cm
Two springs with spring constants K1 = 1500 N/m and K2 = 3000 N/m are stretched by the same force. The ratio of potential energy stored in spring will be
  • 2 : 1
  • 1 : 2
  • 4 : 1
  • 1 : 4
A weightless spring of length 60 cm and force constant 200 N/m is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is

  • Physics-Oscillations-84780.png
  • 2)
    Physics-Oscillations-84781.png

  • Physics-Oscillations-84782.png

  • Physics-Oscillations-84783.png
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of time period T. If the mass is increased by m, the time period becomes 5T/3. Then the ratio of m/M is
  • 5/3
  • 3/5
  • 25/9
  • 16/9
When a mass m is attached to a spring, it normally extends by 0.2 m. The mass m is given a slight addition extension and released, then its time period will be

  • Physics-Oscillations-84786.png
  • 2)
    Physics-Oscillations-84787.png

  • Physics-Oscillations-84788.png

  • Physics-Oscillations-84789.png
A mass m is suspended from a spring of length l and force constant K. The frequency of vibration of the mass is f1. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is f2. Which of the following relations between the frequencies is correct

  • Physics-Oscillations-84791.png
  • 2)
    Physics-Oscillations-84792.png

  • Physics-Oscillations-84793.png

  • Physics-Oscillations-84794.png
A block (B) is attached to two unstretched springs S1, and S2 with spring constants k and 4 k, respectively (see figure I). The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacement x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is
Physics-Oscillations-84796.png
  • 4
  • 2

  • Physics-Oscillations-84797.png

  • Physics-Oscillations-84798.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-84800.png

  • Physics-Oscillations-84801.png
  • 2)
    Physics-Oscillations-84802.png

  • Physics-Oscillations-84803.png

  • Physics-Oscillations-84804.png
A body of mass 20 g connected to spring of constant K executes simple harmonic motion with a frequency of (5/π)Hz. The value of spring constant is
  • 4 Nrn–1
  • 3 Nm–1
  • 2 Nm–1
  • 5 Nm–1
A mass of 10 kg is suspended from a spring balance. It is pulled aside by a horizontal string so that it makes an angle of 60° with the vertical. The new reading of the balance is

  • Physics-Oscillations-84807.png
  • 2)
    Physics-Oscillations-84808.png

  • Physics-Oscillations-84809.png

  • Physics-Oscillations-84810.png
An electric motor of mass 40 kg is mounted on four vertical spring each having constant of 4000 Nm–1. The period with which the motor vibrates vertically is
  • 0.314 s
  • 3.14 s
  • 0.078 s
  • 0.56 s
A mass of 4 kg suspended from a spring of force constant 800 Nm–1 executes simple harmonic oscillations. If the total energy of the oscillator is 4 J, the maximum acceleration (in ms–2) of the mass is
  • 5
  • 15
  • 45
  • 20

Physics-Oscillations-84814.png
  • Of the same frequency and with shifted mean position
  • Of the same frequency and with the same mean position
  • Of changed frequency and with shifted mean position
  • Of changed frequency and with the same mean position
A body of mass 4.9 kg hangs from a spring and oscillates with a period 0.5 s. On the removal of the body, the spring is shortened by (Take g = 10 ms–2 , π2 = 10)
  • 6.3 m
  • 0.63 m
  • 6.25 m
  • 63 cm
If two springs A and B with spring constants 2k 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
Time period of a mass m suspended by a spring is T. If the spring is cut to one-half and made to oscillate by suspending double mass, the time period of the mass will be

  • Physics-Oscillations-84818.png
  • 2)
    Physics-Oscillations-84819.png

  • Physics-Oscillations-84820.png

  • Physics-Oscillations-84821.png

Physics-Oscillations-84823.png

  • Physics-Oscillations-84824.png
  • 2)
    Physics-Oscillations-84825.png

  • Physics-Oscillations-84826.png

  • Physics-Oscillations-84827.png
Two blocks each of mass m are connected to a spring of spring constant k. If both are given velocity v in opposite directions, then the maximum elongation of the spring is
Physics-Oscillations-84829.png

  • Physics-Oscillations-84830.png
  • 2)
    Physics-Oscillations-84831.png

  • Physics-Oscillations-84832.png

  • Physics-Oscillations-84833.png
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