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Question

Relation between buoyant force and the volume of an object immersed in liquid is:

Given,
ρliq = Density of liquid
ρobj = Density of object
Vtotal = Total volume of object
Vsub = Submerged volume of the object


A
FB=ρliqVsubg
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B
FB=ρobjVsubg
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C
FB=ρliqVtotalg
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D
FB=ρobjVtotalg
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Solution

The correct option is A FB=ρliqVsubg
The upward force applied by the fluid on the object when it is submerged in a fluid is known as the Buoyant force. According to the Archimedes' principle, the upward buoyant force is equal to the weight of the fluid that the body displaces .

Hence, FB=ρliqVsubg

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