Question

The buoyant force on a ball of weight W, dropped in a container of water is F. If the same ball is dropped into a container of liquid with half the density of water, the buoyant force on the ball will be

Answer 1

Answer:$\frac{F}{2}$

Explanation:

Given

weight of Object is W

Buoyant Force $F_b=F$

let the density of First Liquid is  $\rho$

volume of object $=\frac{W}{\rho _0g}$

where $\rho _0$=object density

thus buoyant Force in first Liquid is

$F=\rho \times \frac{W}{\rho _0g}\times g=\frac{W\rho }{\rho _0}$

For Second Liquid

$F'=\frac{\rho }{2}\times \frac{W}{\rho _0g}\times g=\frac{W\rho }{2\rho _0}$

$F'=\frac{F}{2}$