Total energy of a particle having a displacement - x - executing simple harmonic motion isA- proportional to XB- proportional to x 2C- Independent of xD- proportional to X 1 - 2

The correct option is C Independent of xTotal energy of particle executing SHM (E)=12mω^2A^2+U_mean Where U_mean is the (PE) at mean position ∴ It is independe ...

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Standard XII

Physics

Kinetic Energy Formulae

Total energy ...

Question

Total energy of a particle having a displacement $^{'} x^{'}$ executing simple harmonic motion is

proportional to

x

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proportional to

x^{2}

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Independent of

x

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proportional to

x^{1 / 2}

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Solution

The correct option is C Independent of $x$
Total energy of particle executing SHM $(E) = \frac{1}{2} m ω^{2} A^{2} + U_{m e a n}$
Where $U_{m e a n}$ is the $(P E)$ at mean position
$∴$ It is independent of $x$ .
Hence, option (c) is correct.

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Total energy of a particle having a displacement ′x′ executing simple harmonic motion is

The correct option is C Independent of xTotal energy of particle executing SHM (E)=12mω2A2+Umean Where Umean is the (PE) at mean position ∴ It is independent of x. Hence, option (c) is correct.

Total energy of a particle having a displacement $^{'} x^{'}$ executing simple harmonic motion is

The correct option is C Independent of $x$
Total energy of particle executing SHM $(E) = \frac{1}{2} m ω^{2} A^{2} + U_{m e a n}$
Where $U_{m e a n}$ is the $(P E)$ at mean position
$∴$ It is independent of $x$ .
Hence, option (c) is correct.