Question

What is the relationship between buoyant force and the weight of liquid displaced?
A. Buoyant force is greater
B. Buoyant force is lesser
C. Buoyant force is equal to weight of liquid displaced
D. None of the above

Answer 1

Hint: In order to answer this question, first we will show the relationship between buoyant force and the weight of liquid displaced by mentioning the formula that relates both of them, and we will also explain the formula.

Complete answer:
When a body is partly or completely immersed in water (or any other liquid), then:
\[{\text{Loss in weight of body = Weight of water (liquid) displaced by the body}}\\
{\text{Loss in weight of body = Buoyant force or upthrust exerted by water (any liquid) on the body}}\]
Hence, the relationship between buoyant force and the weight of liquid displaced is that they are equal.

The buoyant force is a force that results from the pressure exerted on an item by a fluid, whether it be a liquid or a gas. When a body is submerged in water, it displaces some water due to its weight. The object's density, which is related to volume, is used to calculate the amount of displaced water. The volume of a cricket ball and a beach ball may be the same, but their density differs due to their varied weights.

The solid steel block sinks into the sea, but not the steel ship. As a result, the amount of displaced water in the upward direction can be calculated using buoyant force. Let's look at the buoyancy force and how it's calculated, as well as some of the gadgets that rely on it. If the displaced liquid's weight is equal to the object's weight, and the displaced liquid's weight is equal to the buoyant force.

Hence, the correct option is C.

Note: The apparent loss of weight when an object is partially or totally immersed in a liquid is equal to the weight of the liquid displaced by it. As you can see in the diagram, gravity's weight is counterbalanced by the fluid's thrust. The whole force applied on the object inside the liquid is only felt as weight by the object inside the liquid.