A metallic sphere floats in immiscible mixture of water (density 103 kg/m3) and a liquid(density 8X103 kg/m3) such that its (2/3) part is in water (1/3) part in the liquid.The density of the metal is a.5000/3 kg/m3 b.10000/3 kg/m3 c.5000 kg/m3 d.2000 kg/m3
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A metallic sphere floats in immiscible mixture of water (density 103 kg/m3) and a liquid(density 8X103 kg/m3) such that its (2/3) part is in water (1/3) part in the liquid.The density of the metal is
a.5000/3 kg/m3
b.10000/3 kg/m3
c.5000 kg/m3
d.2000 kg/m3
Given data
The density of the water is = 1000 kg/m3
The density of the liquid is = 8000 kg/m3
The volume of the metal sphere inside water is Vw = 2/3 V
The volume of the metal sphere inside the liquid is Vl = 1/3 V
The expression for the weight of the sphere is given as:
The volume of the metallic sphere is V.
The expression for the upthrust on the sphere due to liquid and water is given as:
Step by step
Solved in 2 steps
