Statement I: If the amplitude of a simple harmonic oscillat…

Physics Simple Harmonic Motion (Oscillations) Statement Based MCQ (Single Correct)

Statement I: If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled.

Statement II: The total energy is directly proportional to the amplitude of vibration of the harmonic oscillator.

In the light of the above statements, choose the most appropriate answer from the options given below

Both Statement I and Statement II are incorrect.

Statement I is correct but Statement II is incorrect.

Statement I is incorrect but Statement II is correct.

Both Statement I and Statement II are correct.

Text Solution

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The correct answer is:

Both Statement I and Statement II are incorrect.

Total energy of the harmonic oscillator,

Therefore, or . Since, energy is proportional to square of amplitude. Therefore, when amplitude is doubled, its total energy becomes four times.

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