1.

If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body isA. constantB. directly proportional to timeC. inversely proportional to timeD. directly proportional to square of time

Answer» Correct Answer - B
`F prop 1/v`
`F=lambda/v`, where `lambda` : constant
`ma= m (dv)/(dt)=lambda/v implies m int_(0)^(v) dv =lambda int_(0)^(t) dt`
`m|v^(2)/2|_(0)^(v) =lambda |t|_(0)^(t) implies 1/2 mv^(2)=K=lambda t`
`K prop t`


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