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

log ex

answer is A.

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Detailed Solution

According to question :dudt∝x or dudx⋅dxdt∝x or dudx⋅u∞x or udu∝xdx or v2∝x2
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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