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Is it true that the total energy of a simple harmonic oscillator is constant?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is true.
Yes, the total energy of a simple harmonic oscillator is constant. This is because the total energy of a simple harmonic oscillator has both at any instant. And it is the sum of the potential energy, and the kinetic energy remains constant. That is why the total energy of a simple harmonic oscillator is conserved.

Total energy = kinetic energy + Potential energy

Total Energy = \frac{1}{2} m ω^{2} A^{2} + \frac{1}{2} k A^{2}

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