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?
JEE MAIN 2014, Medium
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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., $\mathrm{F} \propto x$
or $\mathrm{F}=-\mathrm{bx}$ where $\mathrm{b}$ is a positive constant
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