The total energy of a simple harmonic oscillator is proportional toa)square of the amplitudeb)the square root of displacementc)amplituded)frequencyCorrect answer is option 'A'. Can you explain this answer?

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The total energy of a simple harmonic oscillator is proportional to

a)
square of the amplitude
b)
the square root of displacement
c)
amplitude
d)
frequency

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

The total energy of a simple harmonic oscillator is proportional toa)...

Total energy of simple harmonic oscillator is given by

E = (1/2) mω²A²

Where, m = mass of body performing SHM.

ω = angular velocity

and A = amplitude.

E ∝ A²

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The total energy of a simple harmonic oscillator is proportional toa)square of the amplitudeb)the square root of displacementc)amplituded)frequencyCorrect answer is option 'A'. Can you explain this answer?

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