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The weight of the liquid displaced by a ...

The weight of the liquid displaced by a body when the body is immersed in it is called

A

apparent weight

B

upthrust

C

lateral pressure

D

relative density of the body

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The correct Answer is:
To solve the question, we need to identify the term that describes the weight of the liquid displaced by a body when it is immersed in the liquid. Let's break down the solution step by step. ### Step 1: Understand the concept of displacement When a body is immersed in a liquid, it displaces a volume of liquid equal to its own volume. This is based on Archimedes' principle, which states that the volume of liquid displaced by a submerged object is equal to the volume of the object itself. **Hint:** Think about what happens when you put an object in water. What does it push aside? ### Step 2: Determine the weight of the displaced liquid The weight of the liquid displaced can be calculated using the formula: \[ \text{Weight} = \text{Mass} \times \text{Gravity} \] To find the mass of the displaced liquid, we use the formula: \[ \text{Mass} = \text{Density} \times \text{Volume} \] Let’s denote: - \( \rho \) as the density of the liquid, - \( V \) as the volume of the body (which is equal to the volume of the liquid displaced). Thus, the mass of the displaced liquid becomes: \[ \text{Mass} = \rho \times V \] **Hint:** Remember that density is mass per unit volume. How do you find mass if you know density and volume? ### Step 3: Calculate the weight of the displaced liquid Now, substituting the mass back into the weight formula, we get: \[ \text{Weight of displaced liquid} = \rho \times V \times g \] where \( g \) is the acceleration due to gravity. **Hint:** Weight is always related to mass and gravity. What happens when you multiply mass by gravity? ### Step 4: Relate the weight of the displaced liquid to buoyant force The expression \( \rho V g \) is also known as the buoyant force or upthrust. Buoyant force is the upward force exerted by the fluid on the submerged object, which is equal to the weight of the fluid displaced. **Hint:** What term do we use to describe the upward force acting on a submerged object? ### Conclusion Therefore, the weight of the liquid displaced by a body when the body is immersed in it is called **buoyant force** or **upthrust**. **Final Answer:** Buoyant force (or upthrust).
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