A solid of density D is floating in a liquid of density d. If v is the volume of solid submerged in the liquid and V is the total volume of the solid, then `(v)/(V) is equal to

Options

A. `(d)/(V)`
B. `(D)/(d)`
C. `(D)/((D+d))`
D. `(D+d)/(D)`

Answer

B

Explanation

As solid is floating in liquid, so weight of solid body = Weight of liquid displaced by immersed part of the body .
i.e. VDg=vdg or `(v)/(V)=(D)/(d)`