Question

Question #11652

Answer 1

In the above discussion it has been proved that the maximum buoyancy or upthrust experienced by a body immersed in a fluid is the weight of the fluid displaced by it when it is completely immersed.

So buoyancy

`B_"max"uarr=Vrhog`

Whrere

`V->"volume of the body"`

`rho->"density of the fluid"`

`g->"acceleration due to gavity"`

`=>B_"max"uarr= M/drhog=Mgxx(rho/d)`

`=Wxx(rho/d)`

Where

`W=Mg-> "weight of the body"`

`"M and d are mass and density of the body respectively"`

The above relation shows that

(1) the maximum Buoyancy of a body is directly proportional to its weight if `rho/d`, the density ratio remains constant.

(2) Again the maximum Buoyancy of a body is inversely proportional to its density when weight of the body and density of the fluid remain constant