Test: Laws of Floatation - UPSC MCQ

When an object is immersed in a fluid, it experiences an upward buoyant force equal to the weight of the displaced fluid. If the weight of the object is less than the buoyant force, it will float.

The buoyant force depends on the volume of the object submerged, density of the fluid, and weight of the object. The surface area of the object does not directly affect the buoyant force.

Pascal's law states that pressure applied to a fluid is transmitted undiminished in all directions. A hydraulic lift utilizes this principle to generate a large force by applying a small force to a confined fluid, which is then transmitted to lift a heavier load.

The buoyant force experienced by an object in a fluid depends on the weight of the displaced fluid, which is determined by the volume of the object submerged. If the object is partially submerged, the volume of the displaced fluid and thus the buoyant force remain the same.

When an object floats, it displaces a volume of fluid equal to its own volume. According to Archimedes' principle, the buoyant force acting on the object is equal to the weight of the displaced fluid, which is also equal to the weight of the object.

For a floating object to be stable, its center of gravity should be below its center of buoyancy. This ensures that any small tilting or displacement will create a restoring torque, causing the object to return to its equilibrium position.

The principle of floatation can be used to determine the density of an object. By measuring the weight of the object in air and in a fluid, and knowing the density of the fluid, the density of the object can be calculated.

The principle of displacement states that when an object is immersed in a fluid, it displaces a volume of fluid equal to its own volume. This principle is a fundamental concept related to Archimedes' principle.

The buoyant force acts in the opposite direction to the weight of the object. It is an upward force exerted by the fluid on the object.

According to Archimedes' principle, an object floats when the buoyant force acting on it is equal to or greater than its weight. In the case of a ship, the weight of the ship is less than the buoyant force exerted by the water, allowing it to float.

The buoyant force is equal to the weight of the fluid displaced by the object. In this case, the block weighs 10 N in air and 6 N in water, indicating that it loses 4 N of weight in water. Therefore, the buoyant force is 6 N, equal to the weight lost in water.

An object floats in a fluid when its average density is equal to the density of the fluid. The average density is calculated by dividing the object's mass by its volume.

Similar to a floating object, the stability of a submerged object is increased when its center of gravity is below its center of buoyancy. This ensures that any tilting or disturbance will create a restoring torque, bringing the object back to equilibrium.

If two-thirds of the wood's volume is submerged in water, it means that the wood is less dense than water. The density of the wood is greater than the density of water because it sinks but only partially.

An object will sink in a fluid if its density is greater than the density of the fluid. The density of an object can be calculated by dividing its mass by its volume.

The principle of floatation is not directly related to the conservation of mass, energy, or momentum. It is based on the law of conservation of volume, which states that the volume of fluid displaced by an object is equal to the volume of the object.

According to Pascal's law, the pressure in a fluid at rest is transmitted equally in all directions. This is why, for example, when you squeeze a closed container filled with fluid, the pressure is distributed uniformly throughout the fluid.

The center of buoyancy is the point at which the buoyant force acts on an object immersed in a fluid. It is the center of mass of the displaced fluid.

The ability of an object to float in a fluid depends on various factors, including its mass, volume, and shape. All of these factors affect theobject's buoyancy and determine whether it will float or sink.

According to the law of floatation, an object will float in a fluid if the buoyant force is equal to the weight of the object.

Therefore, the correct answer is b) Equal to the weight of the object.