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A particle moves in a straight line with...

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

A

` x^(2)`

B

` e^(x)`

C

` x`

D

` log _ex `

Text Solution

Verified by Experts

The correct Answer is:
A
given that
` a prop (-x) " "rArr " "a=-kx `
`v(dv)/(dx) =-kx rArr (v^(2))/(2) =(kx^(2))/(2) " "rArr" "v^(2)prop x^(2) " "therefore " "loss of K.E. is proportional to `x^(2) `
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