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
log ex
answer is A.
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According to question :dudt∝x or dudx⋅dxdt∝x or dudx⋅u∞x or udu∝xdx or v2∝x2
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