Q1 where does the solid weigh more in air or in liquid ?
Q2 what is the relationship between boyand force on an object and the liquid displaced by it
Dear Student!!
Effective weight of the solid is more in air then the liquid.
Archimedes principle states that when a body is immersed wholly or partially in a liquid, it experiences an upward buoyant force of magnitude equal to the weight of the liquid displaced by it.
Buoyant force = Weight of displaced liquid
Weight of displaced liquid = Mass of the displaced liquid × Acceleration due to gravity
= Density of the liquid × Volume of the displaced liquid × Acceleration due to gravity
∴Volume of the displaced liquid = Volume of the object that is immersed in the liquid
∴Weight of the displaced liquid = Volume of the object immersed in the liquid × Density of the liquid × Acceleration due to gravity
Hence, we can write the magnitude of the upthrust on an object that is immersed in a liquid as Buoyant force = Volume of the object × Density of the liquid × Acceleration due to gravity
Since buoyant force depends on the density of the liquid in which it is immersed, it is different in different liquids for the same object