Question: In a damped harmonic oscillator, which of the following statements is true?
Options:
Energy is conserved
Amplitude decreases over time
Frequency increases over time
Phase remains constant
Correct Answer: Amplitude decreases over time
Solution:
In a damped harmonic oscillator, the amplitude decreases over time due to the loss of energy.
In a damped harmonic oscillator, which of the following statements is true?
Practice Questions
Q1
In a damped harmonic oscillator, which of the following statements is true?
Energy is conserved
Amplitude decreases over time
Frequency increases over time
Phase remains constant
Questions & Step-by-Step Solutions
In a damped harmonic oscillator, which of the following statements is true?
Correct Answer: The amplitude decreases over time due to the loss of energy.
Step 1: Understand what a damped harmonic oscillator is. It is a system that oscillates (moves back and forth) but loses energy over time.
Step 2: Recognize that the energy loss is usually due to friction or resistance in the system.
Step 3: Know that as the system loses energy, the maximum distance it moves from its rest position (amplitude) gets smaller.
Step 4: Conclude that in a damped harmonic oscillator, the amplitude decreases over time because of this energy loss.
Damped Harmonic Oscillator – A system in which the amplitude of oscillation decreases over time due to energy loss, typically from friction or resistance.
Energy Loss – The process by which energy is dissipated in a system, leading to a decrease in amplitude in oscillatory motion.
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