A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

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$x^{2}$

$x^{0}$

$e^{x}$

answer is B.

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Detailed Solution

$L o s s o f K E = f o r c e \times d i s \tan c e = (m a) x = w o r k d o n e$
As, $a \propto x ∴ L o s s o f K E \propto x^{2}$

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