A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic…

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $\mathrm{x}$ is proportional to
  1. $x^3$
  2. $e^x$
  3. $x$
  4. $\log _e x$

Solution

$\mathrm{K}_{\mathrm{f}}-\mathrm{K}_{\mathrm{i}}=\frac{\mathrm{mk}}{2} \mathrm{x}^2$ $\mathrm{~K}_{\mathrm{f}}-\mathrm{K}_{\mathrm{i}} \propto \mathrm{x}^2$

Asked in: JEE Main 2004

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