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A linear harmonic oscillator of mass m oscillates with a frequency 
where k is its force constant. What is the minimum energy of the oscillator.
where k is its force constant. What is the minimum energy of the oscillator.- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A linear harmonic oscillator of massmoscillates with a frequencywherek...
The energy of the linear harmonic oscillator is
This is a constant of motion. We can represent the constant value of E by means of averages of the kinetic and potential over a cycle of motion by writing.
The average value of x and p should vanish for an oscillating particle. So, we can identify
with the square of the corresponding uncertainties.
This is a constant of motion. We can represent the constant value of E by means of averages of the kinetic and potential over a cycle of motion by writing.
The average value of x and p should vanish for an oscillating particle. So, we can identify
with the square of the corresponding uncertainties.
Since from the uncertainty principle 
To determine the minimum energy of the oscillator, we put
The minimum energy is
To determine the minimum energy of the oscillator, we putThe minimum energy is
Most Upvoted Answer
A linear harmonic oscillator of massmoscillates with a frequencywherek...
The energy of the linear harmonic oscillator is
This is a constant of motion. We can represent the constant value of E by means of averages of the kinetic and potential over a cycle of motion by writing.
The average value of x and p should vanish for an oscillating particle. So, we can identify
with the square of the corresponding uncertainties.
This is a constant of motion. We can represent the constant value of E by means of averages of the kinetic and potential over a cycle of motion by writing.
The average value of x and p should vanish for an oscillating particle. So, we can identify
with the square of the corresponding uncertainties.
Since from the uncertainty principle 
To determine the minimum energy of the oscillator, we put
The minimum energy is
To determine the minimum energy of the oscillator, we putThe minimum energy is
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A linear harmonic oscillator of massmoscillates with a frequencywherekis its force constant. What is the minimum energy of the oscillator.a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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A linear harmonic oscillator of massmoscillates with a frequencywherekis its force constant. What is the minimum energy of the oscillator.a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A linear harmonic oscillator of massmoscillates with a frequencywherekis its force constant. What is the minimum energy of the oscillator.a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A linear harmonic oscillator of massmoscillates with a frequencywherekis its force constant. What is the minimum energy of the oscillator.a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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