$Assertion :$ In simple harmonic motion, the motion is to and fro and periodic
$Reason :$ Velocity of the particle $(v) = \omega \sqrt {k^2 - x^2}$ (where $x$ is the displacement).
$Reason :$ Velocity of the particle $(v) = \omega \sqrt {k^2 - x^2}$ (where $x$ is the displacement).
AIIMS 2002, Medium
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SHM is to and fro motion of an object and it is periodic. $v = \omega \sqrt {k^2 - x^2}$ If $x = 0, v$ has maximum value. At $x = k, v$ has minimum velocity. Similarly, when $x = -k, v$ has zero value, all these indicate to and fro movement.
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