Which graph(s) can represent the magnitude of the net force acting on the mass as a function of distance x?

I only

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I and II only

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II only

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III only

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II and III only

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Solution

The correct option is D III only
For a simple harmonic motion, force acting on a particle is directly proportional to displacement of particle from the equilibrium position.
Hence $F = - k x$
$⟹ | F | = k x$
Thus the correct representation is figure III.

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