JEE Questions for Physics Oscillations Quiz 6 - MCQExams.com

The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
If the mass of the particle is 5 gm, then the total energy of the particle is ......erg.
  • 250
  • 125
  • 500
  • 375
The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The frequency of the particle is .........s–1
  • (1/p)
  • p
  • (1/2p)
  • (p/2)
The phase of a particle executing simple harmonic motion is π/2 when it has
  • Maximum velocity
  • Maximum acceleration
  • Maximum energy
  • Maximum displacement
A particle starts S.H.M. from the mean position. Its amplitude is A and time period is T. At the time when its speed is half of the maximum speed, its displacement y is

  • Physics-Oscillations-84464.png
  • 2)
    Physics-Oscillations-84465.png

  • Physics-Oscillations-84466.png

  • Physics-Oscillations-84467.png
Two equations of two S.H.M. are y = a sin(ωt – α) and y = b cos (ωt – α). The phase difference between the two is
  • 0°
  • a°
  • 90°
  • 180°
The equation of a simple harmonic wave is given by y = 6 sin 2π (2t – 0.1x), where x and y are in mm and t is in seconds. The phase difference between two particles 2 mm a part at any instant is
  • 54°
  • 72°
  • 18°
  • 36°
A particle is oscillating according to the equation X =7 cos 0.5 πt, where t is in second. The point moves from the position of equilibrium to maximum displacement in time
  • 4.0 s
  • 2.0 s
  • 1.0 s
  • 0.5 s
A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x= a to x = a/2 is
  • T/6
  • T/4
  • T/3
  • T/2
A 1.00 × 10–20 kg particle is vibrating with simple harmonic motion with a period of 1.00 × 10–5 s and a maximum speed of 1.00 × 103 m/s. The maximum displacement of the particle is
  • 1.59 mm
  • 1.00 m
  • 10 m
  • None of these
The phase (at a time t) of a particle in simple harmonic motion tells
  • Only the position of the particle at time t
  • Only the direction of motion of the particle at time t
  • Both the position and direction of motion of the particle at time t
  • Neither the position of the particle nor its direction of motion at time t
A particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true
  • The particle so moving executes S.H.M.
  • The projection of the particle on any one of the diameters executes S.H.M.
  • The projection of the particle on any of the diameters executes S.H.M.
  • None of the above
In the figure, the vertical sections of the string are long. A is released from rest from the position shown. Then
Physics-Oscillations-84474.png
  • The system will remain in equilibrium
  • The central block will move down continuously
  • The central block will undergo simple harmonic motion
  • The central block will undergo periodic motion but not simple harmonic motion
A particle executing simple harmonic motion along y-axis has its motion described by the equation y = A sin (ωt) + B. The amplitude of the simple harmonic motion is
  • A
  • B
  • A + B

  • Physics-Oscillations-84475.png
A particle executing S.H.M. of amplitude 4 cm and T = 4 s. The time taken by it to move from positive extreme position to half the amplitude is
  • 1 s
  • 1/3 s
  • 2/3 s

  • Physics-Oscillations-84476.png
Which one of the following is a simple harmonic motion
  • Wave moving through a string fixed at both ends
  • Earth spinning about its own axis
  • Ball bouncing between two rigid vertical walls
  • Particle moving in a circle with uniform speed

Physics-Oscillations-84478.png

  • Physics-Oscillations-84479.png
  • 2)
    Physics-Oscillations-84480.png

  • Physics-Oscillations-84481.png

  • Physics-Oscillations-84482.png
A system exhibiting S.H.M. must possess
  • Inertia only
  • Elasticity as well as inertia
  • Elasticity, inertia and an external force
  • Elasticity only
Two particles are executing simple harmonic motion of the same amplitude A and frequency ω) along the x-axis. Their mean position is separated by distance X0(X0 > A). If the maximum separation between them is (X0 + A), the phase difference between their motion is

  • Physics-Oscillations-84484.png
  • 2)
    Physics-Oscillations-84485.png

  • Physics-Oscillations-84486.png

  • Physics-Oscillations-84487.png
The displacement equation of a particle is x = 3 sin 2t + 4 cos 2t. The amplitude and maximum velocity will be respectively
  • 5, 10
  • 3, 2
  • 4, 2
  • 3, 4
A simple harmonic oscillator has a period of 0.01 s and an amplitude of 0.2 m. The magnitude of the velocity in m sec–1 at the centre of oscillation is
  • 20 π
  • 100
  • 40 π
  • 100 π
A particle executes S.H.M. with a period of 6 second and amplitude of 3 cm. Its maximum speed in cm/s is
  • π /2
  • π
  • 2 π
  • 3 π

Physics-Oscillations-84492.png
  • 300
  • 2)
    Physics-Oscillations-84493.png
  • 100

  • Physics-Oscillations-84494.png
A S.H.M. has amplitude \'a\' and time period T. The maximum velocity will be

  • Physics-Oscillations-84496.png
  • 2)
    Physics-Oscillations-84497.png

  • Physics-Oscillations-84498.png

  • Physics-Oscillations-84499.png

Physics-Oscillations-84501.png

  • Physics-Oscillations-84502.png
  • 2)
    Physics-Oscillations-84503.png
  • 20
  • 16
A particle executes simple harmonic motion with a time period of 16 s. At time t = 2 s, the particle crosses the mean position while at t = 4s, its velocity is 4 ms–1. The amplitude of motion in metre is

  • Physics-Oscillations-84506.png
  • 2)
    Physics-Oscillations-84507.png

  • Physics-Oscillations-84508.png

  • Physics-Oscillations-84509.png
The amplitude of a particle executing S.H.M. is 4 cm. At the mean position the speed of the particle is 16 cm/s. The distance of the particle from the mean, position at which the speed of the particle becomes 8√3 cm/s, will be

  • Physics-Oscillations-84511.png
  • 2)
    Physics-Oscillations-84512.png
  • 1 cm
  • 2 cm
The maximum velocity of a particle executing S.H.M. is V. If the amplitude is doubled and the time period of oscillation decreased to 1/3 of its original value, the maximum velocity becomes
  • 18 V
  • 12 V
  • 6 V
  • 3 V
The angular velocities of three bodies in simple harmonic motion are ω1, ω2, ω3 with their respective amplitudes as A1, A2, A3. If all the three bodies have same mass and velocity, then

  • Physics-Oscillations-84515.png
  • 2)
    Physics-Oscillations-84516.png

  • Physics-Oscillations-84517.png

  • Physics-Oscillations-84518.png
The x- t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 4/3 s is
Physics-Oscillations-84520.png

  • Physics-Oscillations-84521.png
  • 2)
    Physics-Oscillations-84522.png

  • Physics-Oscillations-84523.png

  • Physics-Oscillations-84524.png
If x, ν and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then which of the following does not change with time

  • Physics-Oscillations-84526.png
  • 2)
    Physics-Oscillations-84527.png

  • Physics-Oscillations-84528.png

  • Physics-Oscillations-84529.png
The acceleration of a particle in S.H.M. is
  • Always zero
  • Always constant
  • Maximum at the extreme position
  • Maximum at the equilibrium position
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T/2 (g is acceleration due to gravity)
  • 4 g
  • 5 g
  • 2 g
  • 3 g
A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by
Where A and K are positive constants
  • –A Kx
  • A cos (Kx)
  • A exp – (Kx)
  • A Kx
A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is
  • 5.65 m/s and 5.32 × 102 m/s2
  • 6.82 m/s and 7.62 × 102 m/s2
  • 8.91 m/s and 8.21 × 102 m/s2
  • 9.82 m/s and 9.03 × 102 m/s2
A particle executes harmonic motion with an angular velocity and maximum acceleration of 3.5 rad/s and 7.5 m/s2 respectively. The amplitude of oscillation is
  • 0.28 m
  • 0.36 m
  • 0.53 m
  • 0.61 m
A 0.10 kg block oscillates back and forth along a horizontal surface. Its displacement from the origin is given by x = (10 cm) cos [(10 rad/s)t + π /2rad]. What is the maximum acceleration experienced by the block

  • Physics-Oscillations-84536.png
  • 2)
    Physics-Oscillations-84537.png

  • Physics-Oscillations-84538.png

  • Physics-Oscillations-84539.png
In S.H.M. maximum acceleration is at
  • Amplitude
  • Equilibrium
  • Acceleration is constant
  • None of the above
A particle executing simple harmonic motion with amplitude of 0.1 m. At a certain instant when its displacement is 0.02 m, its acceleration is 0.5 m/s2. The maximum velocity of the particle is (in m/s)
  • 0.01
  • 0.05
  • 0.5
  • 0.25

Physics-Oscillations-84543.png

  • Physics-Oscillations-84544.png
  • 2)
    Physics-Oscillations-84545.png

  • Physics-Oscillations-84546.png

  • Physics-Oscillations-84547.png
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 seconds is

  • Physics-Oscillations-84549.png
  • 2)
    Physics-Oscillations-84550.png

  • Physics-Oscillations-84551.png

  • Physics-Oscillations-84552.png
In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
  • Spring constant
  • Angular frequency
  • (Angular frequency)2
  • Restoring force
The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are 2 m/s and 4 m/s2. Then angular velocity will be
  • 3 rad/s
  • 0.5 rad/s
  • 1 rad/s
  • 2 rad/s

Physics-Oscillations-84556.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
If a simple pendulum has significant amplitude (up to a factor or 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

  • Physics-Oscillations-84558.png
  • b

  • Physics-Oscillations-84559.png

  • Physics-Oscillations-84560.png
A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic
  • 1 cm
  • √2 cm
  • 3 cm
  • 2√2 cm
The potential energy of a particle with displacement X is U(X). The motion is simple harmonic, when (K is a positive constant)

  • Physics-Oscillations-84563.png
  • 2)
    Physics-Oscillations-84564.png

  • Physics-Oscillations-84565.png

  • Physics-Oscillations-84566.png
A particle of mass 10 g is describing S.H.M. along a straight line with period of 2 s and amplitude of 10 cm. Its kinetic energy when it is at 5 cm from its equilibrium position is
  • 37.57 π2 ergs
  • 3.757 π2 ergs
  • 375 π2 ergs
  • 0.375 π2 ergs
The P.E. of a particle executing S.H.M. at a distance x from its equilibrium position is

  • Physics-Oscillations-84569.png
  • 2)
    Physics-Oscillations-84570.png

  • Physics-Oscillations-84571.png
  • Zero
A vertical mass-spring system executes simple harmonic oscillations with a period of 2 s. A quantity of this system which exhibits simple harmonic variation with a period of 1 s is
  • Velocity
  • Potential energy
  • Phase difference between acceleration and displacement
  • Difference between kinetic energy and potential energy
For any S.H.M., amplitude is 6 cm. If instantaneous potential energy is half the total energy then distance of particle from its mean position is
  • 3 cm
  • 4.2 cm
  • 5.8 cm
  • 6 cm
0:0:1


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