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

As solid body is floating in the liquid,
`:.` Weight of the solid body = Weight of liquid displaced by immersed part of the body
or VDg = V. dg or ` (V.)/(V) = (D)/(g)`