Q.
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
A) $\frac{d}{P}$
B) $\frac{D}{d}$
C) $\frac{D}{(D + d)}$
D) $\frac{D + d}{D}$
Explanation
(b) As solid is floating in liquid, so weight of solid body = weight of liquid displaced by immersed part of the body $ie,\ VD\ g = v\ d\ g$
Or $v/V = D/d$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.