"Any body that is completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward or buoyant force, the magnitude of which is equal to the weight of the fluid displaced by the body." Which is this law?

"Any body that is completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward or buoyant force, the magnitude of which is equal to the weight of the fluid displaced by the body." Which is this law? Correct Answer Archimedes' Principle

The correct answer is Archimedes' Principle

Concept:

Archimedes principle:

  • The principle of Archimedes states “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it.”

  • Thus, when a solid is fully immersed in a liquid, it loses weight which is equal to the weight of the liquid it displaces.

Apparent weight = Actual weight - boyant force = mg - ρgV

Where m is mass of the object, ρ is the density of the fluid 

Hence if there is no gravity, there is no Upward Thrust.

The upward force applied to the object is called the buoyant force.

Here,

ρ = density of liquid

g = acceleration due to gravity

V = volume of liquid displaced by the object

  • Archimedes Principle is also known as the physical law of buoyancy.
  • The purity of gold in the king's crown, Archimedes determine after discovering the Archimedes principle.
  • Hydrometers, Ships and Submarines work on the Archimedes Principle.
  • A Ship/boat floats on the basis of the Archimedes Principle.

Explanation:

  • The Archimedes' Principle states that "A body, that is completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward or buoyant force, the magnitude of which is equal to the weight of the fluid displaced by the body."
  • The principle is used in Submarine, Hot-air balloons, Hydrometer.
  • Charle's law states that at constant pressure, the volume of a gas is directly proportional to its temperature.
  • Boyle’s law states that the pressure exerted by a gas is inversely proportional to the volume occupied by the gas.

Related Questions

Assertion: The buoyant force of water on a submerged wooden cube is greater than on a steel cube of equal volume. Reason: The buoyant force on a body is equal to the weight of the liquid displaced by the body.