Question

State Archimedas principle

Answer 1

Answer:

when an object is totally or partially immersed in the liquid an upthrust acts on it equal to the weight of the liquid displaced.

Explanation:

consider a solid cylinder of cross sectional area a immersed in a liquid at depth h let h 1 and h 2 be the depths of top and bottom faces of cylinder then

h 2 - h 1 = h

let  p 1 and p 2 be the liquid pressures at depths h 1  and h 2 then

p  1= rho g h 1

p 2= rho g h 2

let f 1 and f 2 forces act on top and bottom faces of cylinder

f 1= rho g h 2 A=rho g h 1 A

f 2=p 2 A=rho g h 2 A

Forces f 1 and f 2 are acting on the opposite faces of the cylinders so net force f will be f 2 - f 1 in direction of f 2 this net force f is upthrust

upthrust = rho g h 2 A - rho g h 1 A

= rho g v.