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A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J.
Its
  • a)
    maximum potential energy is 100 J
  • b)
    maximum kinetic energy is 100 J
  • c)
    maximum potential energy is 160 J
  • d)
    maximum potential energy is zero
Correct answer is option 'B,C'. Can you explain this answer?
Verified Answer
A linear harmonic oscillator of force constant 2 × 106 N/m and a...
The total energy of the oscillator
As total mechanical energy = 160 J
The P.E. at equilibrium position is not zero.
P.E. at mean position  = (160 – 100) J = 60 J
∴ Max P.E. = (100 + 60 ) J = 160 J.
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Most Upvoted Answer
A linear harmonic oscillator of force constant 2 × 106 N/m and a...
The equation of motion for a linear harmonic oscillator is given by:

m(d^2x/dt^2) + kx = 0

where m is the mass of the oscillator, x is the displacement from equilibrium, t is time, and k is the force constant.

In this case, the force constant is 2. Therefore, the equation of motion becomes:

m(d^2x/dt^2) + 2x = 0
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A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J.Itsa)maximum potential energy is 100 Jb)maximum kinetic energy is 100 Jc)maximum potential energy is 160 Jd)maximum potential energy is zeroCorrect answer is option 'B,C'. Can you explain this answer?
Question Description
A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J.Itsa)maximum potential energy is 100 Jb)maximum kinetic energy is 100 Jc)maximum potential energy is 160 Jd)maximum potential energy is zeroCorrect answer is option 'B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J.Itsa)maximum potential energy is 100 Jb)maximum kinetic energy is 100 Jc)maximum potential energy is 160 Jd)maximum potential energy is zeroCorrect answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J.Itsa)maximum potential energy is 100 Jb)maximum kinetic energy is 100 Jc)maximum potential energy is 160 Jd)maximum potential energy is zeroCorrect answer is option 'B,C'. Can you explain this answer?.
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