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A lightly damped harmonic oscillator with natural frequency ω0 is driven by a periodic force of frequency ω. The amplitude of oscillation is maximum when
- a)ω is slightly lower than ω0.
- b)ω = ω0.
- c)ω is slightly higher than ω0.
- d)the force is in phase with the displacement
Correct answer is option 'A'. Can you explain this answer?
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A lightly damped harmonic oscillator with natural frequency 0 is drive...
Explanation:
A lightly damped harmonic oscillator is a system that oscillates with a natural frequency and is subject to a periodic force. The amplitude of oscillation of the system depends on the frequency of the driving force.
Maximum Amplitude:
The maximum amplitude of oscillation occurs when the driving force frequency is slightly lower than the natural frequency of the system. This is because the system is able to resonate with the driving force and absorb maximum energy.
Resonance:
Resonance occurs when the frequency of the driving force matches the natural frequency of the system. In this case, the system absorbs maximum energy from the driving force, resulting in a maximum amplitude of oscillation.
Frequency Lower than Natural Frequency:
When the frequency of the driving force is slightly lower than the natural frequency of the system, the system is able to resonate with the driving force. This means that the system oscillates with a larger amplitude compared to other frequencies.
Phase Difference:
The phase difference between the driving force and the displacement of the system also affects the amplitude of oscillation. When the force is in phase with the displacement, the amplitude of oscillation is maximum. This occurs when the driving force frequency is slightly lower than the natural frequency of the system.
Conclusion:
In conclusion, the amplitude of oscillation of a lightly damped harmonic oscillator is maximum when the driving force frequency is slightly lower than the natural frequency of the system. This is due to resonance and the force being in phase with the displacement.
A lightly damped harmonic oscillator is a system that oscillates with a natural frequency and is subject to a periodic force. The amplitude of oscillation of the system depends on the frequency of the driving force.
Maximum Amplitude:
The maximum amplitude of oscillation occurs when the driving force frequency is slightly lower than the natural frequency of the system. This is because the system is able to resonate with the driving force and absorb maximum energy.
Resonance:
Resonance occurs when the frequency of the driving force matches the natural frequency of the system. In this case, the system absorbs maximum energy from the driving force, resulting in a maximum amplitude of oscillation.
Frequency Lower than Natural Frequency:
When the frequency of the driving force is slightly lower than the natural frequency of the system, the system is able to resonate with the driving force. This means that the system oscillates with a larger amplitude compared to other frequencies.
Phase Difference:
The phase difference between the driving force and the displacement of the system also affects the amplitude of oscillation. When the force is in phase with the displacement, the amplitude of oscillation is maximum. This occurs when the driving force frequency is slightly lower than the natural frequency of the system.
Conclusion:
In conclusion, the amplitude of oscillation of a lightly damped harmonic oscillator is maximum when the driving force frequency is slightly lower than the natural frequency of the system. This is due to resonance and the force being in phase with the displacement.
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A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer?
Question Description
A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer?.
A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lightly damped harmonic oscillator with natural frequency 0 is driven by a periodic force of frequency . The amplitude of oscillation is maximum whena) is slightly lower than 0.b) = 0.c) is slightly higher than 0.d)the force is in phase with the displacementCorrect answer is option 'A'. Can you explain this answer?.
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