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Resonance

Description: Resonance Quiz
Number of Questions: 15
Created by:
Tags: physics resonance simple harmonic motion
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What is the phenomenon of resonance?

  1. The tendency of a system to oscillate with greater amplitude at some frequencies than at others.

  2. The tendency of a system to oscillate with smaller amplitude at some frequencies than at others.

  3. The tendency of a system to oscillate with the same amplitude at all frequencies.

  4. The tendency of a system to oscillate with no amplitude at all.

Show answer
Correct Option: A
Explanation:

Resonance is the tendency of a system to oscillate with greater amplitude at some frequencies than at others. This occurs when the frequency of the driving force matches the natural frequency of the system.

What is the natural frequency of a system?

  1. The frequency at which the system oscillates when it is not being driven by an external force.

  2. The frequency at which the system oscillates when it is being driven by an external force.

  3. The frequency at which the system oscillates when it is being driven by an external force that is equal to the natural frequency of the system.

  4. The frequency at which the system oscillates when it is being driven by an external force that is not equal to the natural frequency of the system.

Show answer
Correct Option: A
Explanation:

The natural frequency of a system is the frequency at which the system oscillates when it is not being driven by an external force. This frequency is determined by the mass and stiffness of the system.

What happens when the frequency of the driving force is equal to the natural frequency of the system?

  1. The system oscillates with greater amplitude.

  2. The system oscillates with smaller amplitude.

  3. The system oscillates with the same amplitude.

  4. The system does not oscillate at all.

Show answer
Correct Option: A
Explanation:

When the frequency of the driving force is equal to the natural frequency of the system, the system oscillates with greater amplitude. This is because the driving force is able to transfer more energy to the system than it can at other frequencies.

What is the damping ratio of a system?

  1. A measure of the amount of energy lost from the system per cycle.

  2. A measure of the amount of energy gained by the system per cycle.

  3. A measure of the amplitude of the system's oscillations.

  4. A measure of the frequency of the system's oscillations.

Show answer
Correct Option: A
Explanation:

The damping ratio of a system is a measure of the amount of energy lost from the system per cycle. This ratio is determined by the viscosity of the system and the mass of the system.

What is the effect of damping on the amplitude of a system's oscillations?

  1. Damping decreases the amplitude of the system's oscillations.

  2. Damping increases the amplitude of the system's oscillations.

  3. Damping has no effect on the amplitude of the system's oscillations.

  4. Damping causes the system's oscillations to stop.

Show answer
Correct Option: A
Explanation:

Damping decreases the amplitude of the system's oscillations because it causes energy to be lost from the system. This energy loss is due to the viscosity of the system and the mass of the system.

What is the effect of damping on the frequency of a system's oscillations?

  1. Damping decreases the frequency of the system's oscillations.

  2. Damping increases the frequency of the system's oscillations.

  3. Damping has no effect on the frequency of the system's oscillations.

  4. Damping causes the system's oscillations to stop.

Show answer
Correct Option: C
Explanation:

Damping has no effect on the frequency of the system's oscillations because the frequency of the oscillations is determined by the mass and stiffness of the system. Damping only affects the amplitude of the oscillations.

What is the quality factor of a system?

  1. A measure of the sharpness of the system's resonance peak.

  2. A measure of the width of the system's resonance peak.

  3. A measure of the amplitude of the system's oscillations.

  4. A measure of the frequency of the system's oscillations.

Show answer
Correct Option: A
Explanation:

The quality factor of a system is a measure of the sharpness of the system's resonance peak. This factor is determined by the damping ratio of the system.

What is the relationship between the quality factor and the damping ratio of a system?

  1. The quality factor is inversely proportional to the damping ratio.

  2. The quality factor is directly proportional to the damping ratio.

  3. The quality factor is independent of the damping ratio.

  4. The quality factor is equal to the damping ratio.

Show answer
Correct Option: A
Explanation:

The quality factor is inversely proportional to the damping ratio because the damping ratio determines the amount of energy lost from the system per cycle. The higher the damping ratio, the more energy is lost from the system per cycle, and the lower the quality factor.

What is the effect of the quality factor on the amplitude of a system's oscillations at resonance?

  1. The higher the quality factor, the greater the amplitude of the system's oscillations at resonance.

  2. The higher the quality factor, the smaller the amplitude of the system's oscillations at resonance.

  3. The quality factor has no effect on the amplitude of the system's oscillations at resonance.

  4. The quality factor is equal to the amplitude of the system's oscillations at resonance.

Show answer
Correct Option: A
Explanation:

The higher the quality factor, the greater the amplitude of the system's oscillations at resonance because the quality factor determines the sharpness of the system's resonance peak. The sharper the resonance peak, the greater the amplitude of the system's oscillations at resonance.

What is the effect of the quality factor on the bandwidth of a system's resonance peak?

  1. The higher the quality factor, the wider the bandwidth of the system's resonance peak.

  2. The higher the quality factor, the narrower the bandwidth of the system's resonance peak.

  3. The quality factor has no effect on the bandwidth of the system's resonance peak.

  4. The quality factor is equal to the bandwidth of the system's resonance peak.

Show answer
Correct Option: B
Explanation:

The higher the quality factor, the narrower the bandwidth of the system's resonance peak because the quality factor determines the sharpness of the system's resonance peak. The sharper the resonance peak, the narrower the bandwidth.

What is the resonance frequency of a system?

  1. The frequency at which the system oscillates with the greatest amplitude.

  2. The frequency at which the system oscillates with the smallest amplitude.

  3. The frequency at which the system oscillates when it is not being driven by an external force.

  4. The frequency at which the system oscillates when it is being driven by an external force that is not equal to the natural frequency of the system.

Show answer
Correct Option: A
Explanation:

The resonance frequency of a system is the frequency at which the system oscillates with the greatest amplitude. This frequency is equal to the natural frequency of the system.

What is the relationship between the resonance frequency and the natural frequency of a system?

  1. The resonance frequency is equal to the natural frequency of the system.

  2. The resonance frequency is greater than the natural frequency of the system.

  3. The resonance frequency is less than the natural frequency of the system.

  4. The resonance frequency is independent of the natural frequency of the system.

Show answer
Correct Option: A
Explanation:

The resonance frequency is equal to the natural frequency of the system because the resonance frequency is the frequency at which the system oscillates with the greatest amplitude, and the natural frequency is the frequency at which the system oscillates when it is not being driven by an external force.

What is the effect of damping on the resonance frequency of a system?

  1. Damping decreases the resonance frequency of the system.

  2. Damping increases the resonance frequency of the system.

  3. Damping has no effect on the resonance frequency of the system.

  4. Damping causes the resonance frequency of the system to become infinite.

Show answer
Correct Option: A
Explanation:

Damping decreases the resonance frequency of the system because damping causes energy to be lost from the system. This energy loss causes the system to oscillate with a smaller amplitude, and the resonance frequency is the frequency at which the system oscillates with the greatest amplitude.

What is the effect of damping on the bandwidth of a system's resonance peak?

  1. Damping increases the bandwidth of the system's resonance peak.

  2. Damping decreases the bandwidth of the system's resonance peak.

  3. Damping has no effect on the bandwidth of the system's resonance peak.

  4. Damping causes the bandwidth of the system's resonance peak to become infinite.

Show answer
Correct Option: A
Explanation:

Damping increases the bandwidth of the system's resonance peak because damping causes energy to be lost from the system. This energy loss causes the system to oscillate with a smaller amplitude, and the resonance peak becomes wider.

What is the relationship between the quality factor and the bandwidth of a system's resonance peak?

  1. The higher the quality factor, the wider the bandwidth of the system's resonance peak.

  2. The higher the quality factor, the narrower the bandwidth of the system's resonance peak.

  3. The quality factor has no effect on the bandwidth of the system's resonance peak.

  4. The quality factor is equal to the bandwidth of the system's resonance peak.

Show answer
Correct Option: B
Explanation:

The higher the quality factor, the narrower the bandwidth of the system's resonance peak because the quality factor determines the sharpness of the system's resonance peak. The sharper the resonance peak, the narrower the bandwidth.

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