JEE Questions for Physics Oscillations Quiz 2 - MCQExams.com

For a simple pendulum, the graph between T2 and Lis
  • a straight line passing through the origin
  • parabola
  • circle
  • ellipse
  • hyperbola
A spring of spring constant k is cut into two equal parts. A block of mass m is attached with one part of spring. What is the frequency of the system, if α is frequency of block with original spring?

  • Physics-Oscillations-83885.png
  • 2)
    Physics-Oscillations-83886.png

  • Physics-Oscillations-83887.png

  • Physics-Oscillations-83888.png
A spring (spring constant = k) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant ?
  • 4 k
  • 16 k
  • 8 k
  • 6 k
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 to in air. Neglecting frictional force of water and given that the density of the bob is (4 /× 1000 kg m-3 . What relationship between t and to is true?
  • t = t0
  • t = 2t0
  • t = t0 / 2
  • t = 4t0
A simple pendulum hanging from the ceiling of a stationary lift has 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
A simple pendulum has a time period T1when on the earth's surface and T2 when taken to a height 2R above the earth's surface, where R is the radius of the earth. The value of (T1 /T2) is
  • 1/9
  • 1/3
  • √3
  • 9
  • 3
Time period of a spring mass system is T. If this spring is cut into two parts whose lengths are in the ratio 1 : 3 and the same mass is attached to the longer part, the new time period will be

  • Physics-Oscillations-83893.png
  • 2)
    Physics-Oscillations-83894.png

  • Physics-Oscillations-83895.png

  • Physics-Oscillations-83896.png
What is time period of pendulum hanged in satellite? (T is time period on earth)
  • zero
  • T
  • Infinite
  • T/√6
Two simple pendulums of lengths 1.44 m and 1 m, start swinging together. After how many vibrations will they again start swinging together?
  • 5 oscillations of smaller pendulum
  • 6 oscillations of smaller pendulum
  • 4 oscillations of bigger pendulum
  • 6 oscillations of bigger pendulum
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-83900.png
  • 2)
    Physics-Oscillations-83901.png

  • Physics-Oscillations-83902.png

  • Physics-Oscillations-83903.png

Physics-Oscillations-83905.png
  • 1
  • 2
  • 3
  • 4
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5 s. In another 10 s, it will decrease to a times its original magnitude, where a equals to
  • 0.7
  • 0.81
  • 0.729
  • 0.6
The amplitude of a damped oscillator becomes 1/3rd in 2s. If its amplitude after 6 s is 1/n times the original amplitude, the value of n is
  • 32
  • 3√2
  • 3√3
  • 23
  • 33
The resultant of two rectangular single harmonic motion of the same frequency and unequal amplitudes but differing in phase by π/ 2 is
  • simple harmonic
  • circular
  • ellipse
  • parabolic
A particle is subjected simultaneously to two SHM's one along the x - axis and the other along the y - axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute
  • straight line motion
  • circular motion
  • elliptic motion
  • parabolic motion
If 1/4 of a spring having length l is cutoff, then what will be the spring constant of remaining part ?
  • k
  • 4k
  • 4k/3
  • 3k/4

Physics-Oscillations-83912.png
  • 1.5 cm
  • 2.5 cm
  • 3.0 cm
  • 3.5 cm
A particle executing a simple harmonic motion has a period of 6 s. The time taken by the particle to move from the mean position to half the amplitude, starting from the mean position is

  • Physics-Oscillations-83914.png
  • 2)
    Physics-Oscillations-83915.png

  • Physics-Oscillations-83916.png

  • Physics-Oscillations-83917.png

Physics-Oscillations-83919.png
  • 1 : 1
  • 2 : 1
  • 1 : 3
  • √3 : 1
The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is
Physics-Oscillations-83921.png

  • Physics-Oscillations-83922.png
  • 2)
    Physics-Oscillations-83923.png

  • Physics-Oscillations-83924.png

  • Physics-Oscillations-83925.png
If x,v and a denote the displacement, velocity and acceleration of a particle executing simple harmonic motion of time period T, then which of the following does not change with time?
  • a2T2 + 4π2v2
  • 2)
    Physics-Oscillations-83927.png
  • aT + 2πv

  • Physics-Oscillations-83928.png
The displacement equation of a simple harmonic oscillator is given by
y = A sin ωt – B cos ωt
The amplitude of the oscillator will be

  • Physics-Oscillations-83930.png
  • 2)
    Physics-Oscillations-83931.png

  • Physics-Oscillations-83932.png

  • Physics-Oscillations-83933.png

Physics-Oscillations-83935.png

  • Physics-Oscillations-83936.png
  • 2)
    Physics-Oscillations-83937.png

  • Physics-Oscillations-83938.png

  • Physics-Oscillations-83939.png
The displacement of a particle performing simple harmonic motion is given by, x = 8sin ωt + 6cos ωt, where distance is in cm and time is in sec. The amplitude of motion is
  • 10 cm
  • 2 cm
  • 14 cm
  • 3.5 cm

Physics-Oscillations-83942.png

  • Physics-Oscillations-83943.png
  • 2)
    Physics-Oscillations-83944.png

  • Physics-Oscillations-83945.png

  • Physics-Oscillations-83946.png
The displacement-time graph of a particle executing SHM is as shown in the figure. The corresponding force-time graph of the particle is
Physics-Oscillations-83948.png

  • Physics-Oscillations-83949.png
  • 2)
    Physics-Oscillations-83950.png

  • Physics-Oscillations-83951.png

  • Physics-Oscillations-83952.png

Physics-Oscillations-83953.png

  • Physics-Oscillations-83954.png
  • 2)
    Physics-Oscillations-83955.png

  • Physics-Oscillations-83956.png

  • Physics-Oscillations-83957.png
A small block is connected to one end of a massless spring of unstretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = O. Then, it executes simple harmonic motion with angular frequency ω=π⁄3 rad /s. Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45° as shown in the figure. Point P is at a horizontal distance of 10 m from point 0. If the pebble hits the block at t = 1 s, the value of v is (take, g = 10 m/s2)
Physics-Oscillations-83959.png
  • √50 m/s
  • √51 m/s
  • √52 m/s
  • √53 m/s
For a body performing SHM, at a distance A ⁄ √2, then correct relation between KE and PE will be
  • KE is equal to PE
  • KE is 2 times of PE
  • KE is 3 times of PE
  • KE is half of PE
The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at
Physics-Oscillations-83962.png

  • Physics-Oscillations-83963.png
  • 2)
    Physics-Oscillations-83964.png

  • Physics-Oscillations-83965.png

  • Physics-Oscillations-83966.png
A particle of mass m is executing oscillations about the origin on the X-axis with amplitude A. Its potential energy U(x) = ax4, where a is positive constant. The x-coordinate of mass where potential energy is one-third of the kinetic energy of particle is

  • Physics-Oscillations-83968.png
  • 2)
    Physics-Oscillations-83969.png

  • Physics-Oscillations-83970.png

  • Physics-Oscillations-83971.png
A particle starts oscillating simple harmonically from its equilibrium position with time period T. The ratio of ICE and PE of other particle at t = T/12 is
  • 1 : 4
  • 2 : 1
  • 3 : 1
  • 4 : 1
The average acceleration of a particle performing SHM over one complete oscillation is

  • Physics-Oscillations-83974.png
  • 2)
    Physics-Oscillations-83975.png
  • zero

  • Physics-Oscillations-83976.png
U is the PE of an oscillating particle and F is the force acting on it at a given instant. Which of the following is correct?

  • Physics-Oscillations-83977.png
  • 2)
    Physics-Oscillations-83978.png

  • Physics-Oscillations-83979.png

  • Physics-Oscillations-83980.png

Physics-Oscillations-83982.png
  • zero
  • 0.5 cm
  • 1 cm
  • 1.5 cm
A particle of amplitude A is executing simple harmonic motion. When the potential energy of particle is half of its maximum potential energy, then displacement from its equilibrium position is

  • Physics-Oscillations-83984.png
  • 2)
    Physics-Oscillations-83985.png

  • Physics-Oscillations-83986.png

  • Physics-Oscillations-83987.png
If a simple pendulum of length L has maximum angular displacement a , then the maximum kinetic energy of bob of mass M is

  • Physics-Oscillations-83989.png
  • 2)
    Physics-Oscillations-83990.png

  • Physics-Oscillations-83991.png

  • Physics-Oscillations-83992.png
A particle of mass m executes simple harmonic motion with amplitude a and frequency v. The average kinetic energy during its motion from the position of equilibrium to the end is

  • Physics-Oscillations-83994.png
  • 2)
    Physics-Oscillations-83995.png

  • Physics-Oscillations-83996.png

  • Physics-Oscillations-83997.png
A body executes simple harmonic motion. The potential energy (PE), kinetic energy (KE) and total energy (TE) are measured as function of displacement x. Which of the following statement is correct ?
  • KE is maximum, when x= 0
  • TE is zero, when x = 0
  • KE is maximum, when x is maximum
  • PE is maximum, when x = 0
Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?

  • Physics-Oscillations-84000.png
  • 2)
    Physics-Oscillations-84001.png

  • Physics-Oscillations-84002.png

  • Physics-Oscillations-84003.png

Physics-Oscillations-84005.png
  • – 3.0 m, 100 m/s2
  • + 2.54 m, 200 m/s2
  • – 3.54 m, 140 m/s2
  • + 3.55 m, 120 m/s2

Physics-Oscillations-84007.png
  • A = x0, δ = – π⁄4
  • A = x0ω2, δ = π⁄4
  • A = x0ω2, δ = – π⁄4
  • A = x0ω2, δ = 3π⁄4

Physics-Oscillations-84009.png

  • Physics-Oscillations-84010.png
  • 2)
    Physics-Oscillations-84011.png

  • Physics-Oscillations-84012.png

  • Physics-Oscillations-84013.png

Physics-Oscillations-84015.png
  • 300 m/s-1
  • 3π/6 m/s-1
  • 100 m/s-1
  • π/6 m/s-1

Physics-Oscillations-84017.png
  • 4/5
  • 6/5
  • 5/6
  • 1
What is the period of revolution of the earth satellite? Ignore the height of satellite above the surface of the earth. Given, (The value of gravitational acceleration, g = 10 m/s 2. (Radius of the earth, RE = 6400 km (take, π = 3.
  • 85 min
  • 156 min
  • 83.73 min
  • 90 min
A particle of mass m is placed in a potential field U(x) =U0 (1 – cos ax), where U0 and a are positive constants. The time period of small oscillations would be

  • Physics-Oscillations-84020.png
  • 2)
    Physics-Oscillations-84021.png

  • Physics-Oscillations-84022.png

  • Physics-Oscillations-84023.png
A wooden cube (density of wood d) of side l floats in a liquid of density p with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, its performs simple harmonics motion of period T, then T is equal

  • Physics-Oscillations-84025.png
  • 2)
    Physics-Oscillations-84026.png

  • Physics-Oscillations-84027.png

  • Physics-Oscillations-84028.png
A particle of mass m is located in a one dimensional potential field where potential energy is given by, V(x) = A (1 – cos px),where A and p are constants. The period of small oscillations of the particle is

  • Physics-Oscillations-84030.png
  • 2)
    Physics-Oscillations-84031.png

  • Physics-Oscillations-84032.png

  • Physics-Oscillations-84033.png
The periodic time of a particle doing simple harmonic motion is 4 s. The taken by it to go from its mean position to half the maximum displacement (amplitude) is
  • 2s
  • 1s

  • Physics-Oscillations-84035.png

  • Physics-Oscillations-84036.png
0:0:1


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