(b) Given power=constant
We know that powre (P)
`P=(dW)/(dt)=(F.ds)/(dt)=(F.ds)/(dt) (therefore “body is moving undirectly”)`
Hence, `F.ds=Fds cos0^(@)`
`P=(Fds)/(dt)=”constant”`
Now, writing dimensions lt`[F][v]=”constant”`
`Rightarrow [MLT^(-2)][LT^(-1)]=”constant”`
`Rightarrow L^(2)T^(-3)=”constant” (therefore “mass of constant”)`
`Rightarrow L alpha T^(3//2) Rightarrow “Displacement(d) alphat^(3//2)`

Correct Answer – B
Here, `P=[ML^(2)T^(-3)]=`constant
`(L^(2))/(T^(3))=`constant or `LpropT^(3//2)` or displacement`(d)propt^(3//2)`

Correct Answer – B
For constant power, displacement `prop t^(3//2)`

It is proportional ‘t^3/2’

We know that P = F × V

[P] = [F] [V]

[P] = [MLT^-2 ] [LT^-1 ] since ‘P’ & ‘M’ are constant.

L²T^-3 = constants 

⇒ \(\frac{L^2}{T^3}\)= constant.

L² & T³ ⇒ L & T^3/2.