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Oscillations Class 11 MCQs Questions with Answers
The displacement y of a particle executing periodic motion is given by y = 4 cos² (t/2) sin (1000t). This expression may be considered to be a result of superposition of the following number of harmonic motions.
(a) two
(b) three
(c) four
(d) five
Answer: (b) three
If the length of seconds pendulum is increased by 2%, how may seconds it will lose per day?
(a) 3427 sec
(b) 3727 sec
(c) 3927 sec
(d) 864 sec
Answer: (d) 864 sec
Length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time – period of the pendulum of increased length is
(a) 10%
(b) 1%
(c) 21%
(d) 42%
Answer: (a) 10%
The period of thin magnet is 4 sec. if it is divided into two equal halves then the time period of each part will be
(a) 4 sec
(b) 1 sec
(c) 2 sec
(d) 8 sec
Answer: (c) 2 sec
Spring is pulled down by 2 cm. What is amplitude of motion?
(a) 0 cm
(b) 6 cm
(c) 2 cm
(d) cm
Answer: (c) 2 cm
In damped oscillation the directions of the restoring force and the resistive force
(a) are the same
(b) are opposite
(c) may be same or opposite
(d) have no relation with each other
Answer: (c) may be same or opposite
The acceleration of particle executing S.H.M. when it is at mean position is
(a) Infinite
(b) Varies
(c) Maximum
(d) Zero
Answer: (d) Zero
When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude?
(a) 10 cm
(b) 5 cm
(c) 2.5 cm
(d) 20 cm
Answer: (a) 10 cm
In SHM, graph of which of the following is a straight line?
(a) T.E. against displacement
(b) P.E. against displacement
(c) Acceleration against time
(d) Velocity against displacement
Answer: (a) T.E. against displacement
One of the two clocks on the earth is controlled by a pendulum and other by a spring. If both the clocks are taken to the moon, then which clock will have the same time – period of the earth?
(a) spring clock
(b) pendulum clock
(c) both
(d) none
Answer: (a) spring clock
For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes.
(a) Half of initial value
(b) One fourth of initial value
(c) Double of initial value
(d) Four time initial value
Answer: (c) Double of initial value
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hall near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time -period of the oscillation would
(a) first decrease and then increase to the original value
(b) first increase and then decrease to the original value
(c) increase towards a saturation value
(d) remain unchanged
Answer: (b) first increase and then decrease to the original value
The period of a simple harmonic oscillator is 2 sec. The ratio of its maximum velocity and maximum acceleration is
(a) ∏
(b) 1/∏
(c) 2∏
(d) 4
Answer: (b) 1/∏
If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0 ms-2 at any time, the angular frequency of the oscillator is equal to
(a) 10 rad s-1
(b) 1 rad s-1
(c) 100 rad s-1
(d) 1 rad s–
Answer: (a) 10 rad s-1
The maximum velocity for particle in SHM is 0.16 m/s and maximum acceleration is 0.64 m/s2. The amplitude is
(a) 4 × 10-2 m
(b) 4 × 10-1 m
(c) 4 × 10 m
(d) 4 × 100 m
Answer: (a) 4 × 10-2 m
In the case of forced oscillations, which of the following statements is not true?
(a) frequency equals that of external periodic force
(b) amplitude depends upon the damping coefficient
(c) amplitude tends to infinity at resonance
(d) higher the damping coefficient, lower is the amplitude at resonance
Answer: (c) amplitude tends to infinity at resonance
Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,
(a) T
(b) 1.02 T
(c) 0.99 T
(d) 1.01 T
Answer: (c) 0.99 T
If a hole is bored along the diameter of the earth and a stone is dropped into the hole
(a) The stone reaches the centre of the earth and stops there
(b) The stone reaches the other side of the earth and stops there
(c) The stone executes simple harmonic motion about the centre of the earth
(d) The stone reaches the other side of the earth and escapes into space
Answer: (c) The stone executes simple harmonic motion about the centre of the earth
The graph plotted between the velocity and displacement from mean position of a particle executing SHM is
(a) ellipse
(b) straight line
(c) circle
(d) parabola
Answer: (a) ellipse
The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100p (t + 0.05), where X is in metres ant t in second. The time period in second is
(a) 0.001
(b) 0.02
(c) 0.1
(d) 0.2
Answer: (b) 0.02
Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel, the motion of the particle is
(a) oscillatory
(b) simple harmonic
(c) parabolic
(d) non-periodic
Answer: (a) oscillatory
A body executing linear simple harmonic motion has a velocity of 3 m/s when its displacement is 4 cm and a velocity of 4 m/s when its displacement is 3 cm. What is the amplitude of oscillation ?
(a) 5 cm
(b) 7.5 cm
(c) 10 cm
(d) 12.5 cm
Answer: (a) 5 cm
The displacement of a particle in simple harmonic motion in one time period is [A = amplitude]
(a) Zero
(b) 4 A
(c) 2 A
(d) A
Answer: (a) Zero
A system exhibiting SHM must possess
(a) elasticity as well as inertia
(b) elasticity, inertia and an external force
(c) elasticity only
(d) inertia only
Answer: (a) elasticity as well as inertia
Assertion : A particle executing simple harmonic motion comes to rest at the extreme positions .
Reason : The resultant force on the particle is zero at these positions
(a) Assertion is correct, reason is incorrect
(b) Assertion is incorrect, reason is correct
(c) Assertion is correct, reason is correct; reason is not a correct explanation for assertion
(d) Assertion is correct, reason is correct; reason is a correct explanation for assertion
Answer: (a) Assertion is correct, reason is incorrect
In the case of forced oscillations, which of the following statements is not true?
(a) frequency equals that of external periodic force
(b) amplitude depends upon the damping coefficient
(c) amplitude tends to infinity at resonance
(d) higher the damping coefficient, lower is the amplitude at resonance
Answer: (c) amplitude tends to infinity at resonance
A simple pendulum of length l and mass (bo(ii) m is suspended vertically. The string makes an angle q with the vertical. The restoring force acting on the pendulum, is
(a) mg tan θ
(b) mg sin θ
(c) -mg sinθ
(d) -mg cosθ
Answer: (c) -mg sinθ
A pendulum clock is in a lift falling freely. Then
(a) it runs slower.
(b) it runs faster.
(c) it keeps correct time.
(d) no oscillations occur and the clock does not operate at all.
Answer: (d) no oscillations occur and the clock does not operate at all.
The total energy of the particle executing simple harmonic motion of amplitude A is 100 J. At a distance of 0.707 A from the mean position, its kinetic energy is
(a) 50 J
(b) 100 J
(c) 12.5 J
(d) 25 J
Answer: (a) 50 J
In SHM, the acceleration is directly proportional to
(a) displacement
(b) time
(c) linear velocity
(d) frequency
Answer: (a) displacement
Select the incorrect statement(s) from the following.
I. A simple harmonic motion is necessarily periodic.
II. A simple harmonic motion may be oscillatory
III. An oscillatory motion is necessarily periodic
(a) II and III
(b) I and II
(c) I only
(d) I and III
Answer: (a) II and III
If an simple pendulum oscillates with an amplitude of 50 mm and time period of 2s, then its maximum velocity is
(a) 0.10 m/s
(b) 0.16 m/s
(c) 0.25 m/s
(d) 0.5 m/s
Answer: (b) 0.16 m/s
Resonant vibrations are a special case of:
(a) free vibrations
(b) natural vibrations
(c) forced vibrations
(d) damped vibrations
Answer: (c) forced vibrations
The motion which is not simple harmonic is
(a) motion of a planet around the Sun
(b) oscillation of liquid column in a U-tube
(c) motion of simple pendulum
(d) vertical oscillations of a spring
Answer: (a) motion of a planet around the Sun
A particle moves in a circular path with a uniform speed. Its motion is
(a) periodic
(b) oscillatory
(c) simple harmonic
(d) angular simple harmonic
Answer: (a) periodic
When the displacement of a particle executing simple harmonic motion is half of its amplitude, the ratio of its kinetic energy to potential energy is
(a) 3 : 1
(b) 1 : 2
(c) 2 : 1
(d) 1 : 3
Answer: (a) 3 : 1
Graph of potential energy vs. displacement of a S.H. Oscillator is
(a) parabolic
(b) hyperbolic
(c) elliptical
(d) linear
Answer: (a) parabolicc
A simple pendulum has time period T on the surface of earth. When it is taken to a height h, then its time period will be
(a) constant
(b) more than T
(c) less than
(d) None of the above
Answer: (b) more than T
A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration a, the time period of the pendulum will
(a) Increase
(b) Decrease
(c) Remain unaffected
(d) Become infinite
Answer: (b) Decrease
A ball is dropped in a tunnel dug along the diameter of earth. When it is at the centre of earth, then it has
(a) mass
(b) acceleration
(c) weight
(d) kinetic energy
Answer: (a) mass and (d) kinetic energy
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