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All questions of Damped Oscillations for EmSAT Achieve Exam

What determines the natural frequency of a body?
  • a)
    Position of the body with respect to force applied
  • b)
    Mass and speed of the body
  • c)
    Oscillations in the body
  • d)
    Elastic properties and dimensions of the body
Correct answer is option 'D'. Can you explain this answer?

Lavanya Menon answered
Natural frequency is the frequency at which a body tends to oscillate in the absence of any driving or damping force.
Free vibrations of any elastic body are called natural vibration and happen at a frequency called natural frequency. Natural vibrations are different from forced vibration which happen at frequency of applied force .

The restoring force in a simple harmonic motion is _________ in magnitude when the particle is instantaneously at rest.
  • a)
    zero
  • b)
    maximum
  • c)
    minimum
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Knowledge Hub answered
The restoring force in a simple harmonic motion is maximum in magnitude when the particle is instantaneously at rest because in SHM object’s tendency is to return to mean position and here particle is instantaneously at rest after that instant restoring force will be max to bring particle to mean position.

The amplitude of S.H.M at resonance is _______ in the ideal case of zero damping.
  • a)
    Maximum
  • b)
    Minimum
  • c)
    Zero
  • d)
    Infinite
Correct answer is option 'D'. Can you explain this answer?

Neha Joshi answered
In an ideal environment where there is no resistance to oscillation motion i.e. damping is zero, when we oscillate a system at its resonant frequency since there is no opposition to oscillation, the amplitude will go on increasing and reach infinity.

In the ideal case of zero damping, the amplitude of simple harmonic motion at resonance is:
  • a)
    zero
  • b)
    infinite
  • c)
    cannot be said
  • d)
    varies from zero to infinite
Correct answer is option 'B'. Can you explain this answer?

Priya Patel answered
In an ideal environment where there is no resistance to oscillatory motion, that is, damping is zero, when we oscillate a system at its resonant frequency, since there is no opposition to oscillation, a very large value of amplitude will be recorded. Forced oscillation is when you apply an external oscillating force.

The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is known as
  • a)
    Accelerated Amplitude
  • b)
    Epoch
  • c)
    Resonance
  • d)
    Dampening
Correct answer is option 'C'. Can you explain this answer?

Priya Patel answered
The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is known as. The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is known as resonance.

Under forced oscillation, the phase of the harmonic motion of the particle and phase of driving force
  • a)
    Are same
  • b)
    Are different
  • c)
    Both are zero
  • d)
    Not present
Correct answer is option 'B'. Can you explain this answer?

Harmonic motion is the natural motion of a body(we consider no air friction) under no force where as damped oscillation are under force hence the iscilation are different

Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are called
  • a)
    Damped oscillations
  • b)
    Undamped oscillations
  • c)
    Coupled oscillations
  • d)
    Maintained oscillations
Correct answer is option 'D'. Can you explain this answer?

Anoushka Basu answered
Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, and then the amplitude of such oscillations would become constant. Such oscillations are called maintained oscillations. By the definition of maintained oscillations.

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