Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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The Energy of System in Simple Harmonic Motion is Given by E = 1 2 M ω 2 a 2 . Which of the Following Two Statements is More Appropriate? - Physics

Sum

The energy of system in simple harmonic motion is given by \[E = \frac{1}{2}m \omega^2 A^2 .\] Which of the following two statements is more appropriate?
(A) The energy is increased because the amplitude is increased.
(B) The amplitude is increased because the energy is increased.

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Solution

Statement A is more appropriate because the energy of a system in simple harmonic motion is given by \[E = \frac{1}{2}m \omega^2 A^2 .\]

If the mass (m) and angular frequency (ω) are made constant, Energy (E) becomes proportional to the square of amplitude (A2).
i.e. ∝ A2

Therefore, according to the relation, energy increases as the amplitude increases.

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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 12 Simple Harmonics Motion
Short Answers | Q 10 | Page 250
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