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

Answer

B

Explanation

A solid is floating in liquid, so weight of solid body= weight of liquid displaced by immersed part of the body
`VDg=vdg Rightarrow(v)/(V)=(D)/(d)`