The weight of a body in air is 100 N. Its weight in water, if it displaces 400 cc of water is (

step 1 In the question, it is given that weight of a body in air, weight of body in air, in air that is

The weight of a body in air is 100 N. Its weight in water,...

Key Concepts

Density of Fluids

Fluid density is the mass per unit volume of a fluid, and it plays a crucial role in calculating the weight of the displaced fluid. Since the buoyant force is determined by the weight (which depends on density) of the displaced fluid, knowing the density is essential for problems involving buoyancy and apparent weight.

Volume Displacement

Volume displacement is the amount of fluid that is pushed aside by an object when it is immersed in a fluid. This displaced volume is directly related to the magnitude of the buoyant force, as per Archimedes' Principle, and is a key factor in determining the apparent weight of an object in the fluid.

Buoyant Force

Buoyant force is the upward force exerted by a fluid on an object submerged in it. This force is equal to the weight of the fluid that the object displaces, acting in opposition to gravity. It is a fundamental concept in fluid mechanics that explains why objects appear to weigh less when immersed in a fluid.

Archimedes' Principle

Archimedes' Principle states that an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This principle is central to understanding how and why the apparent weight of an object differs when it is in a fluid compared to in air.

Apparent Weight

The concept of apparent weight refers to the net weight of an object when it is immersed in a fluid. This weight is calculated by subtracting the buoyant force from the actual weight of the object, reflecting the reduced force the object exerts on a supporting scale due to the counteracting upward force of the displaced fluid.

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