A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in figure. Correctly shows the displacement-time curve for its motion ?

Options

A.
B.
C.
D.

Answer

B

Explanation

(b) Given, power=constant
We know that power (P)
`P=(dW)/(dt)=(F.ds)/(dt)=(F" ds")/(dt)`
(`:'` P=constant by question)
Now,writing dimensions
[F][v]=constant
`rArr " "[MLT^(-2)][LT^(-1)]`=constant
`rArr " " L^(2)T^(-3)=constant " " (`:'` "mass is constant")`
`rArr " " L prop t^(3//2)`
`rArr "Displacement" (d) prop t^(3//2)`