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PhysicsDimensionless RatioNCTB পদার্থবিজ্ঞান অধ্যায় ৯ (আলোর প্রতিসরণ)

Refractive Index

Bengali: প্রতিসরণাঙ্ক•Pronunciation: রিফ্র্যাক্টিভ ইনডেক্স•Symbol: n \text{ বা } \mu
Standard Definition:
The dimensionless ratio of the speed of light in vacuum to its phase velocity in a given optical medium.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
n=cv=sin⁡isin⁡rn = \frac{c}{v} = \frac{\sin i}{\sin r}
Standard SI Unit
Dimensionless(এককবিহীন (Dimensionless))
Dimensional Analysis
[M0L0T0][M^0 L^0 T^0]
CGS Unit
None

📖 Physical Concept & Comprehensive Explanation

Refractive index indicates how much the optical path bends and how light decelerates inside a medium. Snell's law governs refraction across optical boundaries as n1*sin(theta1) = n2*sin(theta2).

🎯 High-Yield Revision Points

  • ✓Refractive index n = c / v.
  • ✓Dimensionless ratio with no physical units.
  • ✓Higher refractive index implies an optically denser medium.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What does a water refractive index of 1.33 mean?

It means light travels 1.33 times slower in water than in a vacuum.

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