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Q.

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

x2

b

ex

c

x

d

logex

answer is A.

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Detailed Solution

-a=kx;   -dvdt=kx;   dvdxdxdt=-kx ; dv v=-kx dx  intregating on both sides ∫uvv dv=-k∫0xx dxv2-u22=-kx2212mv2-u2 =-kmx22 =change in kinetic energy
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