369 Tesla | Refraction at Spherical Surfaces & Lenses
An Interactive Journey through Ray Optics
369 Tesla | Interactive Ray Optics Learning Module
Explore the fascinating world of optics through our interactive simulations and visualizations
369 Tesla | What is Refraction?
Refraction is the bending of light when it passes from one medium to another. When light travels through different transparent media, it changes direction at the boundary.
Remember: Light always takes the path that requires the least time! This is Fermat's principle.
In this module, we'll explore what happens when light refracts through spherical surfaces and lenses, which are curved rather than flat.
What We'll Learn
- 1Refraction at spherical surfaces
- 2Image formation by spherical surfaces
- 3Thin lenses and their types
- 4The lens maker's formula
- 5The lens formula and magnification
- 6Solving real-world optical problems
Key Formulas
Spherical Surface Refraction:
n₂/v - n₁/u = (n₂ - n₁)/R
Where n₁ and n₂ are refractive indices, u is object distance, v is image distance, and R is radius of curvature.
Lens Formula:
1/v + 1/u = 1/f
Where u is object distance, v is image distance, and f is focal length.
Lens Maker's Formula:
1/f = (n-1)(1/R₁ - 1/R₂)
Where f is focal length, n is refractive index, and R₁ and R₂ are radii of curvature.
Magnification:
m = -v/u
Where m is magnification, v is image distance, and u is object distance.