damped oscilation the directions of the restoring force and the resistive force
  • are the same
  • are opposite
  • may be same or opposite
  • have no relation with each other
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.
  • two
  • three
  • four
  • five
Spring is pulled down by 2 cm. What is amplitude of motion?
  • 0 cm
  • 6 cm
  • 2 cm
  • cm
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?
  • spring clock
  • pendulum clock
  • both
  • none
When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude?
  • 10 cm
  • 5 cm
  • 2.5 cm
  • 20 cm
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.
  • Half of initial value
  • One fourth of initial value
  • Double of initial value
  • Four time initial value
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,
  • T
  • 1.02 T
  • 0.99 T
  • 1.01 T
In the case of forced oscillations, which of the following statements is not true?
  • frequency equals that of external periodic force
  • amplitude depends upon the damping coefficient
  • amplitude tends to infinity at resonance
  • higher the damping coefficient, lower is the amplitude at resonance
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
  • 0.001
  • 0.02
  • 0.1
  • 0.2
In damped oscilation, the angular frequency of the oscillator
  • keeps on decreasing
  • keeps on increasing
  • emains the same
  • fluctuates
The acceleration of particle executing S.H.M. when it is at mean position is
  • Infinite
  • Varies
  • Maximum
  • Zero
In SHM, graph of which of the following is a straight line?
  • T.E. against displacement
  • P.E. against displacement
  • Acceleration against time
  • Velocity against displacement
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
  • 4 sec
  • 1 sec
  • 2 sec
  • 8 sec
If the length of seconds pendulum is increased by 2%, how may seconds it will lose per day?
  • 3427 sec
  • 3727 sec
  • 3927 sec
  • 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
  • 10%
  • 1%
  • 21%
  • 42%
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
  • 10 rad s-1
  • 1 rad s-1
  • 100 rad s-1
  • 1 rad s-1
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
  • first decrease and then increase to the original value
  • first increase and then decrease to the original value
  • increase towards a saturation value
  • remain unchanged
The maximum velocity for particle in SHM is 0.16 m/s and maximum acceleration is 0.64 m/s2. The amplitude is
  • 4 × 10-2 m
  • 4 × 10-1 m
  • 4 × 10 m
  • 4 × 100 m
The period of a simple harmonic oscillator is 2 sec. The ratio of its maximum velocity and maximum acceleration is
  • ∏
  • 1/∏
  • 2∏
  • 4
If a hole is bored along the diameter of the earth and a stone is dropped into the hole
  • The stone reaches the centre of the earth and stops there
  • The stone reaches the other side of the earth and stops there
  • The stone executes simple harmonic motion about the centre of the earth
  • The stone reaches the other side of the earth and escapes into space
0 h : 0 m : 1 s

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