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Archimedes' Principle & Buoyancy

Bengali: আর্কিমিডিসের নীতি ও প্লবতা•Pronunciation: আর্কিমিডিস প্রিন্সিপল অ্যান্ড বুয়ান্সি•Symbol: F_B \text{ বা } B
Standard Definition:
An upward buoyant force is exerted on a body immersed in a fluid, equal to the weight of the fluid that the body displaces.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
FB=Vρg=WdisplacedF_B = V\rho g = W_{\text{displaced}}
Standard SI Unit
N (Newton)($N$ (নিউটন))
Dimensional Analysis
[MLT−2][M L T^{-2}]
CGS Unit
dyn

📖 Physical Concept & Comprehensive Explanation

The net upward hydrostatic force exerted by a fluid on an immersed body is buoyancy. Archimedes' principle asserts that buoyancy equals the weight of displaced fluid (F_B = V*rho*g).

🎯 High-Yield Revision Points

  • ✓Buoyant force = Volume displaced * fluid density * g.
  • ✓Determines laws of floatation and sinking.
  • ✓Heavy steel ships float because displaced water weight balances total ship weight.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What is Buoyancy?

Buoyancy is the upward force exerted by a fluid that opposes the weight of an immersed object.

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