JEE Questions for Physics Oscillations Quiz 5 - MCQExams.com

A person standing in a stationary lift measures the periodic time of a simple pendulum inside the lift to be equal to T. Now, if the lift moves along the vertically upward direction with an acceleration of g/3, then the periodic time of the lift will now be .........

  • Physics-Oscillations-84326.png
  • 2)
    Physics-Oscillations-84327.png

  • Physics-Oscillations-84328.png

  • Physics-Oscillations-84329.png
If the equation for displacement of two particles executing S.H.M. is given by y1 = 2Sin(10t + è) and y2 = 3Cos10t respectively, then the phase difference between the velocity of two particles will be ...........
  • – è
  • è

  • Physics-Oscillations-84331.png

  • Physics-Oscillations-84332.png
When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be .........
Physics-Oscillations-84334.png

  • Physics-Oscillations-84335.png
  • 2)
    Physics-Oscillations-84336.png

  • Physics-Oscillations-84337.png
  • 2T
If the maximum velocity of two springs ( both has same mass ) executing S.H.M. and having force constants k1 and k2 respectively are same, then the ratio of their amplitudes will be ..........

  • Physics-Oscillations-84339.png
  • 2)
    Physics-Oscillations-84340.png

  • Physics-Oscillations-84341.png

  • Physics-Oscillations-84342.png
The bob of a simple pendulum having length ‘l’ is displaced from its equilibrium position by an angle of è and released. If the velocity of the bob, while passing through its equilibrium position is v, then v = ...........

  • Physics-Oscillations-84344.png
  • 2)
    Physics-Oscillations-84345.png

  • Physics-Oscillations-84346.png

  • Physics-Oscillations-84347.png
When an elastic spring is given a displacement of 10mm, it gains an potential energy equal to U. If this spring is given an additional displacement of 10 mm, then its potential energy will be ........
  • U
  • 2U
  • 4U
  • U/4
If a body having mass M is suspended from the free ends of two springs A and B, their periodic time are found to be T1 and T2 respectively. If both these springs are now connected in series and if the same mass is suspended from the free end, then the periodic time is found to be T. Therefore ..............

  • Physics-Oscillations-84350.png
  • 2)
    Physics-Oscillations-84351.png

  • Physics-Oscillations-84352.png

  • Physics-Oscillations-84353.png
The displacement of a S.H.O. is given by the equation x = A Cos ( ùt + π/8 ). At what time will it attain maximum velocity?

  • Physics-Oscillations-84355.png
  • 2)
    Physics-Oscillations-84356.png

  • Physics-Oscillations-84357.png

  • Physics-Oscillations-84358.png
For particles A and B executing S.H.M., the equation for displacement is given by y1 = 0.1Sin(100t+p/and y2 = 0.1Cospt respectively. The phase difference between velocity of particle A with respect to that of B is ............

  • Physics-Oscillations-84360.png
  • 2)
    Physics-Oscillations-84361.png

  • Physics-Oscillations-84362.png

  • Physics-Oscillations-84363.png

Physics-Oscillations-84365.png
  • 6/5
  • 5/6
  • 4/5
  • 1
A hollow sphere is filled with water. There is a hole at the bottom of this sphere. This sphere is suspended with a string from a rigid support and given an oscillation. During oscillation, the hole is opened up and the periodic time of this oscillating system is measured. The periodic time of the system.............
  • will remain constant
  • Will increase upto a certain time
  • Increases initially and then decreases to attain its initial periodic time
  • Initially decreases and then will attain the initial periodic time value.
A body having mass 5g is executing S.H.M. with an amplitude of 0.3 m. If the periodic time of the system is π/10 s, then the maximum force acting on body is ..........
  • 0.6 N
  • 0.3 N
  • 6 N
  • 3 N
As shown in figure, a body having mass m is attached with two springs having spring constants k1 and k2 . The frequency of oscillation is f. Now, if the springs constants of both the springs are increased 4 times, then the frequency of oscillation will be equal to .............
Physics-Oscillations-84369.png
  • 2f
  • f/2
  • f/4
  • 4f
The figure shows a graph of displacement versus time for a particle executing S.H.M. The acceleration of the S.H.O. at the end of time t = 4/3 second is ...........cm.s–2
Physics-Oscillations-84371.png

  • Physics-Oscillations-84372.png
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    Physics-Oscillations-84373.png

  • Physics-Oscillations-84374.png

  • Physics-Oscillations-84375.png
For a particle executing S.H.M., when the potential energy of the oscillator becomes 1/8 the maximum potential energy, the displacement of the oscillator in terms of amplitude A will be ..........

  • Physics-Oscillations-84377.png
  • 2)
    Physics-Oscillations-84378.png

  • Physics-Oscillations-84379.png

  • Physics-Oscillations-84380.png
The ratio of force constants of two springs is 1: 5. The equal mass suspended at the free ends of both springs are performing S.H.M. If the maximum acceleration for both springs are equal, the ratio of amplitudes for both springs is .........

  • Physics-Oscillations-84382.png
  • 2)
    Physics-Oscillations-84383.png

  • Physics-Oscillations-84384.png

  • Physics-Oscillations-84385.png
When a mass M is suspended from the free end of a spring, its periodic time is found to be T. Now, if the spring is divided into two equal parts and the same mass M is suspended and oscillated, the periodic time of oscillation is found to be T’. Then ...........
  • T < T’
  • T = T’
  • T > T’
  • Nothing can be said
A rectangular block having mass m and cross sectional area A is floating in a liquid having density r. If this block in its equilibrium position is given a small vertical displacement, its starts oscillating with periodic time T. Then in this case.....

  • Physics-Oscillations-84388.png
  • 2)
    Physics-Oscillations-84389.png

  • Physics-Oscillations-84390.png

  • Physics-Oscillations-84391.png
If the displacement of a particle executing S.H.M. is given by y = 0.30 sin (220t + 0.in metre, then the frequency and maximum velocity of the particle is
  • 35 Hz, 66 m/s
  • 45 Hz, 66 m/s
  • 58 Hz, 113 m/s
  • 35 Hz, 132 m/s
As shown in figure, a spring attached to the ground vertically has a horizontal massless plate with a 2 kg mass in it. When the spring ( massless ) is pressed slightly and released, the 2 kg mass, starts executing S.H.M. The force constant of the spring is 200 N m-1. For what minimum value of amplitude, will the mass loose contact with the plate? ( Take g = 10 ms–2 )
Physics-Oscillations-84393.png
  • 10.0 cm
  • 8.0 cm
  • 4.0 cm
  • For any value less than 12.0 cm
Which of the equation given below represents a S.H.M.?
{Here K, K0 and K1 are force constants and units of x and a is meter}
  • acceleration = - k ( x + a )
  • acceleration = k ( x + a )
  • acceleration = kx

  • Physics-Oscillations-84395.png
The displacement for a particle performing S.H.M. is given by x = A Cos( ùt + Ô). If the initial position of the particle is 1 cm and its initial velocity is p cm s-1 , then what will be its initial phase ? The angular frequency of the particle is ps-1

  • Physics-Oscillations-84396.png
  • 2)
    Physics-Oscillations-84397.png

  • Physics-Oscillations-84398.png

  • Physics-Oscillations-84399.png
A particle having mass 1 kg is executing S.H.M. with an amplitude of 0.01 m and a frequency of 60 hz. The maximum force acting on this particle is ........... N
  • 144p2
  • 288p2
  • 188p2
  • None of these
A simple pendulum having length l is given a small angular displacement at time t = 0 and released. After time t, the linear displacement of the bob of the pendulum is given by ..................

  • Physics-Oscillations-84401.png
  • 2)
    Physics-Oscillations-84402.png

  • Physics-Oscillations-84403.png

  • Physics-Oscillations-84404.png
Two masses m1 and m2 are attached to the two ends of a mass less spring having force constant k. When the system is in equilibrium, if the mass m1 is detached, then the angular frequency of mass m2 will be .............

  • Physics-Oscillations-84406.png
  • 2)
    Physics-Oscillations-84407.png

  • Physics-Oscillations-84408.png

  • Physics-Oscillations-84409.png
When the displacement of a S.H.O. is equal to A/2, what fraction of total energy will be equal to kinetic energy? { A is amplitude }
  • 2/7
  • 3/4
  • 2/9
  • 5/7
The speed of a particle executing motion changes with time according to the equation y = aSinùt + bCosùt, then ........
  • Motion is periodic but not a S.H.M.
  • It is a S.H.M. with amplitude equal to a + b
  • It is a S.H.M. with amplitude equal to a2 + b2
  • Motion is a S.H.M. with amplitude equal to
    Physics-Oscillations-84412.png
A body is placed on a horizontal plank executing S.H.M. along vertical direction. Its amplitude of oscillation is 3.92 x 10–3m. What should be the minimum periodic time so that the body does not loose contact with the plank ?
  • 0.1256 s
  • 0.1356 s
  • 0.1456 s
  • 0.1556 s
If the kinetic energy of a particle executing S.H.M. is given by K = K0Cos2ùt, then the displacement of the particle is given by ..........

  • Physics-Oscillations-84415.png
  • 2)
    Physics-Oscillations-84416.png

  • Physics-Oscillations-84417.png

  • Physics-Oscillations-84418.png
The equation for displacement of two identical particles performing S.H.M. is given by x1 = 4 Sin (20t+p/and x2 = 10 Sinùt. For what value of ù will both particles have same energy ?
  • 4 units
  • 8 units
  • 16 units
  • 20 units
A spring having length l and spring constant k is divided into two parts having lengths l1 and l2. If l1 = nl2 , the force constant of the spring having length l2 is ..........

  • Physics-Oscillations-84421.png
  • 2)
    Physics-Oscillations-84422.png
  • k

  • Physics-Oscillations-84423.png
When a mass m is suspended from the free end of a massless spring having force constant k, its oscillates with frequency f. Now if the spring is divided into two equal parts and a mass 2m is suspended from the end of anyone of them, it will oscillate with a frequency equal to ............
  • f
  • 2f

  • Physics-Oscillations-84425.png

  • Physics-Oscillations-84426.png
A mass m on an inclined smooth surface is attached to two springs as shown in figure. The other ends of both springs are attached to rigid surface. If the force constant of both spring is k, then the periodic time of oscillation for the system is .........
Physics-Oscillations-84428.png

  • Physics-Oscillations-84429.png
  • 2)
    Physics-Oscillations-84430.png

  • Physics-Oscillations-84431.png

  • Physics-Oscillations-84432.png
A body of mass 1 kg suspended from the free end of a spring having force constant 400 Nm-1 is executing S.H.M. When the total energy of the system is 2 joule, the maximum acceleration is .........ms-2 .
  • 8 ms-2
  • 10 ms-2
  • 40 ms-2
  • 40 cms-2
When a block of mass m is suspended from the free end of a massless spring having force constant k, its length increases by y. Now when the block is slightly pulled downwards and released, it starts executing S.H.M with amplitude A and angular frequency ù. The total energy of the system comprising of the block and spring is ..........

  • Physics-Oscillations-84435.png
  • 2)
    Physics-Oscillations-84436.png

  • Physics-Oscillations-84437.png

  • Physics-Oscillations-84438.png
A spring is attached to the center of a frictionless horizontal turn table and at the other end a body of mass 2 kg is attached. The length of the spring is 35 cm. Now when the turn table is rotated with an angular speed of 10 rad s-1 , the length of the spring becomes 40 cm then the force constant of the spring is ........... N/m.
  • 1.2 x 103
  • 1.6 x 103
  • 2.2 x 103
  • 2.6 x 103
The displacement of a particle executing S.H.M. is given by y = 4Cos2(t/2)Sin1000t. This displacement is due to superposition of ............ S.H.M.’s.
  • 2
  • 3
  • 4
  • 5
Statement – 1 : The periodic time of a S.H.O. depends on its amplitude and force constant.
Statement – 2 : The elasticity and inertia decides the frequency of S.H.O.
  • 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
Statement – 1: If the length of a simple pendulum is increased by 3%, then the periodic time changes by 1.5%.
Statement – 2: Periodic time of a simple pendulum is proportional to its length.
  • 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
Statement – 1 : The amplitude of an oscillator decreases with time.
Statement – 2 : The frequency of an oscillator decreases with time.
  • 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
Statement – 1 : For a particle executing SHM, the amplitude and phase is decided by its initial position and initial velocity.
Statement – 2 : In a SHM, the amplitude and phase is dependent on the restoring force.
  • 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
As shown in figure, two light springs having force constants k1 = 1.8 N m–1 and k2 = 3.2 N m–1 and a block having mass m = 200 g are placed on a frictionless horizontal surface. One end of both springs are attached to rigid supports. The distance between the free ends of the spring is 60 cm and the block is moving in this gap with a speed v = 120 cm s–1
When the block is moving towards k1, what will be the time taken for it to get maximum compressed from point C?
Physics-Oscillations-84443.png
  • p s
  • (2/s
  • (p/s
  • (p/s
The function sin2 (ωt) represents
  • A simple harmonic motion with a period 2π/ω
  • A simple harmonic motion with a period π/ω
  • A periodic but not simple harmonic motion with a period 2 π/ω
  • A periodic but not simple harmonic motion with a period π/ω
As shown in figure, two light springs having force constants k1 = 1.8 N m–1 and k2 = 3.2 N m–1 and a block having mass m = 200 g are placed on a frictionless horizontal surface. One end of both springs are attached to rigid supports. The distance between the free ends of the spring is 60 cm and the block is moving in this gap with a speed v = 120 cm s–1
What will be the periodic time of the block, between the two springs?
Physics-Oscillations-84445.png
  • 1+ (5p/s
  • 1+ (7p/s
  • 1+ (5p/s
  • 1+ (7p/s
A block having mass M is placed on a horizontal frictionless surface. This mass is attached to one end of a spring having force constant k. The other end of the spring is attached to a rigid wall. This system consisting of spring and mass M is executing SHM with amplitude A and frequency f. When the block is passing through the mid-point of its path of motion, a body of mass m is placed on top of it, as a result of which its amplitude and frequency changes to A’ and f’.
Physics-Oscillations-84446.png

  • Physics-Oscillations-84447.png
  • 2)
    Physics-Oscillations-84448.png

  • Physics-Oscillations-84449.png

  • Physics-Oscillations-84450.png
A block having mass M is placed on a horizontal frictionless surface. This mass is attached to one end of a spring having force constant k. The other end of the spring is attached to a rigid wall. This system consisting of spring and mass M is executing SHM with amplitude A and frequency f. When the block is passing through the mid-point of its path of motion, a body of mass m is placed on top of it, as a result of which its amplitude and frequency changes to A’ and f’.
Physics-Oscillations-84452.png

  • Physics-Oscillations-84453.png
  • 2)
    Physics-Oscillations-84454.png

  • Physics-Oscillations-84455.png

  • Physics-Oscillations-84456.png
The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The motion of the particle is .........
  • Damped motion
  • Periodic motion
  • Rotational motion
  • S.H.M.
The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The periodic time of oscillation is .........
  • 2 s
  • p s
  • (p/s
  • 2p s
The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The amplitude of oscillation is ......cm
  • 1
  • 3
  • 5
  • 7
The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The maximum acceleration of the particle is ........cm/s2
  • 4
  • 12
  • 20
  • 28
0:0:1


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