Identical-size lead and aluminum cubes are suspended at different depths by two wires in a large vat of water (?Fig. Q12.30?). (a) Which cube experiences a greater buoyant force? (b) For which cube is the tension in the wire greater? (c) Which cube experiences a greater force on its lower face? (d) For which cube is the difference in pressure between the upper and lower faces greater?

Solution 30DQ Introduction We have to first find out the buoyant force on both lead and aluminum. Then we have to find out the tension of the rope hanging lead and aluminum. Then we have to calculate the pressure in the lower face of each cube and finally we have to calculate the pressure difference between the upper and lower face of each cube. Step 1 The buoyant force is equal to the weight of the water displaced by the object submerged into the water. Now since the volume of both lead and aluminum cubes are same, the weight of the displaced water will also be same. So the buoyant force experienced by both of them is same.