A particle moves in a straight line with retardation propotional to its displacement. Loss of K.E. for any displacement x is proportional to :

Options

A. `x^2`
B. `e^x`
C. x
D. `log_e` x

Answer

a

Explanation

Here, it is given that magnitude of `a prop x(But a=v/t)v/t prop x`
If time interval is kept the same `v prop x` and `v^2 prop x^2`
`:. K.E. E_k prop v^2` or `E_k prop x^2`