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