Q151 / 225 · JEE Main 2004 · Physics

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

  • Correct answer
    A
    $x^3$
  • B
    $e^x$
  • C
    $x$
  • D
    $\log _e x$

Solution

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

Hence, the correct answer is option: 'A'.

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