Which of the following expressions corresponds to simple harmonic motion along a straight line, where $x$ is the displacement and $a, b, c$ are positive constants?
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(d)
In linear $S.H.M.$, the restoring force acting on particle should always be proportional to the displacement of the particle and directed towards the equilibrium position.
i.e., $F \propto x$
or $F =- bx$ where $b$ is a positive constant.
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