The total energy of a particle executing simple harmonic motion isA)

1.	The total energy of a particle executing simple harmonic motion isA) Directly proportional to xB) Directly proportional to x² C) Independent of x D) Directly proportional to x½
Answer» Answer will be option (B) Directly proportional to x² We know total energy formula E= 2mπ²f ²a² we have T.E. ∼ m, T.E. ∼ f ², and T.E. ∼ a² Thus, the total energy in the simple harmonic motion of a particle is: Directly proportional to its mass Directly proportional to the square of the frequency of oscillations and Directly proportional to the square of the amplitude of oscillation.

The total energy of a particle executing simple harmonic motion isA) Directly proportional to xB) Directly proportional to x² C) Independent of x D) Directly proportional to x½

Answer»

Answer will be option (B) Directly proportional to x²

We know total energy formula

E= 2mπ²f ²a²

we have T.E. ∼ m, T.E. ∼ f ², and T.E. ∼ a²

Thus, the total energy in the simple harmonic motion of a particle is:

Directly proportional to its mass
Directly proportional to the square of the frequency of oscillations and
Directly proportional to the square of the amplitude of oscillation.

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The total energy of a particle executing simple harmonic motion isA) Directly proportional to xB) Directly proportional to x² C) Independent of x D) Directly proportional to x½

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