• 1. 
    Which of the following is non-oscillatory in nature?

  • Under damped & over damped
  • Critically damped & over damped
  • Critically damped & under damped
  • Forced oscillation & over damped
  • 2. 
    Two simple harmonic oscillators of mass 12 gram and 48 gram oscillate separately under the action same restoring force. The ratio of their frequencies is

  • 2:1
  • 1:2
  • 4:1
  • 1:4
  • 3. 
    Which of the following physical quantity is unit less?

  • Logarithmic decrement
  • Quality factor
  • Relaxation time
  • Both logarithmic decrement & Quality factor.
  • 4. 
    Which force (s) is (are) present in case of damped oscillation?

  • Restoring force
  • Damping force
  • Both restoring force and damping force.
  • Restoring force, damping force and external periodic force.
  • 5. 
    Which one is correct, in case of oscillation?

  • Displacement and restoring force are in the same direction.
  • Displacement is always away from mean position where as restoring force is always towards the mean position.
  • Displacement is always towards the mean position where as restoring force is always away from the mean position.
  • The direction of displacement and restoring force is random.
  • 6. 
    Quality factor of an oscillatory object, of mass 3 gram, is 10. If mass of the object is 12 gram, keeping other factors constant, then the new quality factor is

  • 5
  • 10
  • 20
  • 40
  • 7. 
    Total energy in case of damped oscillation during oscillation

  • increases exponentially .
  • decreases exponentially .
  • remains constant.
  • either increases or remains constant.
  • 8. 
    If t1, t2, t3 are the time taken by the object to reach at mean position in case of overdamprd under damped and critically damped motion respectively, then which of the following is correct?

  • t₂ > t₁ > t3
  • t₁ < t₂
  • t₁>t₂ > t3
  • t₁ = t₂ = t3
  • 9. 
    The total energy of 1-d simple harmonic oscillator is 1.2 Joule. It's potential energy, when it is midway between mean position and extreme position, is

  • 2.4 Joule
  • 1.2 Joule
  • 0.6 Joule
  • 0.3 Joule
  • 10. 
    A body of mass 10 gram oscillates freely with natural frequency 1 Hz. When immersed in glycerine it undergoes critically damped motion. The damping force on the oscillator when it's speed is 0.2 cm/s is

  • 8π Newton
  • 8π duvet
  • 4π Newton
  • 4π duve
  • 11. 
    Which of the following motions are examples of oscillations?

  • Vibration of a violin string
  • Heartbeat
  • Flapping of wings of a dragonfly
  • All of above
  • 12. 
    A body continues to oscillate due to

  • inertia.
  • elasticity.
  • either elasticity or inertia.
  • both elasticity and inertia.
  • 13. 
    Which of the following is an example of free oscillation?

  • A particle oscillating in air medium.
  • An object suspended from the spring set to vibrate in vacuum.
  • The springs of dead beat galvanometer.
  • Vibrating running fork in air medium.
  • 14. 
    The total energy of 1-d simple harmonic oscillator is 1.2 erg. What is it's potential energy and kinetic energy at mean position respectively.

  • 0.6 erg and 0.6 erg
  • 0 and 1.2 erg
  • 1.2 erg and 0
  • 0.2 erg and 1 erg
  • 15. 
    If relaxation time is 3 sec and quality factor is 6, in case of damped oscillation, then angular frequency is ___________ rad/a.

  • 0.5
  • 2
  • 9
  • 18
  • 16. 
    A simple harmonic motion is defined as motion where

  • a∝xa\propto xa∝x
  • a∝−xa\propto-xa∝−x
  • v∝xv\propto xv∝x
  • v∝−xv\propto-xv∝−x
  • 17. 
    A particle of mass 10 gram subjected to a force constant of 90 dyne/cm and a damping constant of 60 gm/sec. If it is displaced through 3 cm before being released, then it is ___________ type of motion.

  • Free
  • Under damped
  • Over damped
  • Critically damped
  • 18. 
    The general solution of undamped oscillation is ( where the symbols have their usual meaning)

  • All of above
  • x = A₁ elwot + B₁e-iwot
  • x = A sin (wot + a)
  • x = A cos(wot + a)
  • 19. 
    If T1 & T2 are the time period for undamped and under damped oscillation respectively, then

  • T₁ < T₂
  • T₁ > T₂
  • T₁ ≥ T₂
  • T₁ = T₂
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