Assertion :The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola. Reason: Potential energy and Kinetic energy do not vary linearly with position.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Kinetic Energy $= \frac{1}{2} m ω^{2} (A^{2} - x^{2})$
Potential Energy $= \frac{1}{2} m ω^{2} x^{2}$
Both vary parabolically.

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