Physics : Oscillations, Waves and Sound-Damped Oscillations - Differential equation, Logarithmic decrement, Average energy, Quality factor, LCR series circuit

Oscillations, Waves and Sound - Damped Oscillations MCQ- Differential equation, Logarithmic decrement, Average energy, Quality factor, LCR series circuit : Link1

Damped Oscillations MCQ & Answers

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Q.1. Which one of the following Statement is not true for a body executing simple harmonic motion when damping is present?

A. The damping force is always in the opposite direction to the velocity.
B. The damping force is always in the opposite direction to the acceleration.
C. The presence of damping gradually reduces the maximum potential energy of the system.
D. The presence of damping gradually reduces the maximum kinetic energy of the system.

Q.2. In a damped harmonic oscillaor, the damping force is proportional to ----------.

A. displacement                                                                B. acceleration
C. velocity                                                           D. none of the above.

Q.3. In which of the following oscillations, the amplitute varies with time?

A. damped oscillator
B. forced oscillator
C. undamped oscillators
D. None of the above

Q.4. The equation for critically damped motion is given in the form

5\:\left(\frac{d^2x}{dt^2}\right) + R\:\left(\frac{dx}{dt}\right) + 20x = 0 \:\:\:what\: will\: be\: the\: value\: of\: R\:?

A. 40 units
B. 25 units
C. 30 units
D. 20 units




Q.5. The frequency of damped oscillator of mass 3 gm is 5 Hz. If the coefficient of damping is

0.314\: dyne/cm-s^{-1}

,then quality factor Q is -----

A. 200                                                      B. 100
C. 300                                                       D. 50

Q.6. The log decrement in damped oscillator is --------

λ Λ = \frac{RT}{4m}



λ Λ = \frac{RT}{2m}



λ Λ = \frac{Rm}{4T}



λ Λ = \frac{RT}{8m}



Q.7. In damped oscillations, frequency of oscillations is ------ as compared to undamped oscillations.

A. more                                                           B. less
C. equal                                                            D. None of the above

Q.8. In damped oscillations, the energy of the oscillator ------.

A. increases exponentially                                                                      B. decreases exponentially
C. increases linearly s                                                                 D. is constant

Q.9. In LCR series circuit, the damping is due to -------.

A. resistance
B. inductance
C. capacitor
D. resistance and capacitor

Q.10. Keeping R constant if mass of the oscillator is doubled then logarithmic decrement is -------.

A. doubled
B. halved
C. no change
D. increases