A body is moving unidirectionally under the influence of a source of constant power supplying energy . Which of the diagram shown infigure correctly shown the displacement time curve for its motion ?

Options

A.
B.
C.
D.

Answer

B

Explanation

Given Power ,
P = `(dW)/(dt)`
` = (F.dx)/(dt) " "( :. dW = Fdx)`
` = ("Fdx")/(dt)` = constant
` ( :. " P = constant given")`
Thus ,P = `FV " "( :. V = (dx)/(dt))`
[F] [V] = constant
` :. [MLT^(-1)[ [LT^(-1)] ` = constant
` :. L^(2) T^(-3) = ` constant `( :. "mass is constant") `
` :. L prop T^(3/2) rArr "Displacement " (d) prop t^(3/2)`