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PhysicsScalar QuantityNCTB পদার্থবিজ্ঞান অধ্যায় ৫ (পদার্থের অবস্থা ও চাপ)

Density

Bengali: ঘনত্ব•Pronunciation: ডেনসিটি•Symbol: \rho \text{ (রো)}
Standard Definition:
The volumetric mass density of a substance, defined as mass divided by volume.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
ρ=mV\rho = \frac{m}{V}
Standard SI Unit
kg/m^3($kg/m^3$ (কেজি/মিটার³))
Dimensional Analysis
[ML−3][M L^{-3}]
CGS Unit
g/cm^3

📖 Physical Concept & Comprehensive Explanation

Density is an intrinsic property characterizing how tightly matter is packed. Pure water exhibits its peak density of 1000 kg/m^3 (1 g/cm^3) at 4 degrees Celsius. Flotation depends entirely on relative density.

🎯 High-Yield Revision Points

  • ✓Density = Mass / Volume (rho = m/V).
  • ✓Density of water peaks at 4 deg C at 1000 kg/m^3.
  • ✓SI unit is kg/m^3; dimension is [M L^-3].

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: Why is water density maximum at 4 degrees Celsius?

Due to anomalous expansion, water contracts between 0 deg C and 4 deg C to reach minimum volume, yielding maximum density at 4 deg C.

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