Which of the following equations represents a simple harmonic motion? The displacement of the system from the equilibrium position is x at time t and $α$ is a positive constant.

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= 0

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Solution

The correct option is B
In a simple harmonic motion, the acceleration $d^{2} x / d t^{2}$ must be proportional to the displacement x and opposite to it, i.e., $\frac{d^{2} x}{d t^{2}} = - α x$ where α is a positive constant.

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