Oscillations CBSE Questions & Answers

Oscillations

This is Physics Class 11 Oscillations CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The time period of a simple pendulum is given by ( l is length of pendulum and g the acceleration due to gravity)
  • A
    T = \(\pi \) \(\sqrt {{l \over g}} \)
  • B
    T = 4 \(\pi \) \(\sqrt {{l \over g}} \)
  • C
    T = 2 \(\pi \) \(\sqrt {{l \over g}} \)
    Correct
  • D
    T = 2\(\sqrt {{l \over g}} \)
2
The time period of a physical pendulum of mass m and moment of inertia I is given by ( l is length of pendulum and g the acceleration due to gravity)
  • A
    T = \(\pi \) \(\sqrt {{I \over {mgl}}} \)
  • B
    T = 2 \(\sqrt {{I \over {mgl}}} \)
  • C
    T = 4\(\pi \) \(\sqrt {{I \over {mgl}}} \)
  • D
    T = 2\(\pi \)\(\sqrt {{I \over {mgl}}} \)
    Correct
3
In a simple pendulum the restoring force is due to
  • A
    The radial component of the gravitational force
  • B
    The tangential component of the tension in string
  • C
    The radial component of the tension in string
  • D
    The tangential component of the gravitational force
    Correct
4
In a damped system
  • A
    energy of the system never decreases
  • B
    energy of the system is continuously refreshed
  • C
    energy of the system continuously increases
  • D
    energy of the system is continuously dissipated
    Correct
5
Damping is due to
  • A
    reaction forces
  • B
    conservative forces like gravity
  • C
    electrostatic forces
  • D
    resistive forces like air drag, friction etc.
    Correct
6
In simple models damping force is
  • A
    inversely proportional to acceleration
  • B
    directly proportional to velocity
    Correct
  • C
    inversely proportional to velocity
  • D
    directly proportional to acceleration
7
The damped system differential equation is
  • A
    \(m{{{d^2}x} \over {{d^2}t}} + b{{dx} \over {dt}} = 0\)
  • B
    \(m{{{d^2}x} \over {{d^2}t}} + {{dx} \over {dt}} + kx = 0\)
  • C
    \(m{{{d^2}x} \over {{d^2}t}} + b + kx = 0\)
  • D
    \(m{{{d^2}x} \over {{d^2}t}} + b{{dx} \over {dt}} + kx = 0\)
    Correct
8
Damped natural frequency is
  • A
    lower than natural frequency
    Correct
  • B
    higher than natural frequency
  • C
    same as natural frequency
  • D
    none of the above
9
In forced oscillations apart from acceleration forces, damping and spring forces there is
  • A
    damping force
  • B
    an external exciting force that changes the energy
    Correct
  • C
    gravity force
  • D
    restoring force
10
At resonance
  • A
    amplitude increases when the driving force is close to the natural frequency of the oscillator
    Correct
  • B
    amplitude decreases when the driving force is close to the natural frequency of the oscillator
  • C
    amplitude increases when the driving force is far from the natural frequency of the oscillator
  • D
    amplitude oscillates when the driving force is close to the natural frequency of the oscillator
11
What is constant in simple harmonic motion?
  • A
    Potential energy
  • B
    Restoring force
  • C
    Kinetic motion
  • D
    Periodic time
    Correct
12
A particle of mass 10 g is executing simple harmonic motion with an amplitude of 0.5 m and periodic time of (pi/5 ) seconds. The maximum value of the force acting on the particle is
  • A
    0.5 N
    Correct
  • B
    2.5 N
  • C
    5 N
  • D
    0.5 N
13
A body of mass 5 g is executing simple harmonic motion about a point O with amplitude of 10 cm. Its maximum velocity is 100 cm/s. It’s velocity will be 50 cm/s at a distance (in cm) from O
  • A
    5\(\sqrt 3 \)
  • B
    5
  • C
    . 5\(\sqrt 2 \)
  • D
    10\(\sqrt 2 \)
    Correct
14
The maximum velocity and maximum acceleration of a body moving in a simple harmonic oscillation are 2 m/s and 4 \({\rm{m}}/{{\rm{s}}^{\rm{2}}}\). The angular velocity is
  • A
    2 rad/sec
    Correct
  • B
    5 rad/sec
  • C
    1 rad/sec
  • D
    4 rad/sec
15
A particle is executing simple harmonic motion with an amplitude of 0.02 meter and frequency 50 hertz. The maximum acceleration of the particle is
  • A
    200 \({\rm{m}}/{{\rm{s}}^{\rm{2}}}\)
    Correct
  • B
    100 \({\rm{m}}/{{\rm{s}}^{\rm{2}}}\)
  • C
    100 \(\pi \) \({\rm{m}}/{{\rm{s}}^{\rm{2}}}\)
  • D
    200 \(\pi \) \({\rm{m}}/{{\rm{s}}^{\rm{2}}}\)