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Questions  

If the force acting on a body is inversely proportioned to its speed, then its kinetic energy is

a
directly propotional to   time.
b
Inversely proportional to time
c
inversely proportional to the square of the time.
d
a constant

detailed solution

Correct option is A

F α ​1V    ⇒   FV   =   constant    ⇒   power=   constant ∴     power  =    ​worktime    ; substitute in above equation ⇒worktime=constant ∴     work  α   time work done = change in KE; substitute in above equation ∴ change in     K.E.   α   time ⇒KE is proportional to time ⇒KE is linearly related to time

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