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Is it true that the potential energy of a simple harmonic oscillator at the mean position is always zero?

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True

False

answer is B.

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Detailed Solution

The above statement is false.
This is because the potential energy is

Potential energy = U_{0} + \frac{1}{2} {Kx}^{2}

In which k is the simple harmonic motion constant. And

U_{0}

is potential energy at mean position
And its value is not always zero. But when it is zero, then

Potential energy = 0 + \frac{1}{2} {Kx}^{2}

Potential energy = \frac{1}{2} {Kx}^{2}

The correct statement would be that the potential energy of a simple harmonic oscillator at the mean position is not always zero.

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