Physics
Refraction of Light
Refraction at a Spherical Surface
XII
⚡ Quick Summary
Deals with how light bends when passing through a curved surface like a lens or a bubble.
μ₂/v - μ₁/u = (μ₂ - μ₁)/R
Refraction at a single spherical surface is governed by the formula: μ₂/v - μ₁/u = (μ₂ - μ₁)/R, where μ₁ and μ₂ are refractive indices of the two media, u is the object distance, v is the image distance, and R is the radius of curvature of the surface.
Refraction at a Plane Surface
12
⚡ Quick Summary
Deals with the bending of light rays as they pass from one medium to another, specifically focusing on scenarios involving plane surfaces.
Snell's Law: μ₁ sin θ₁ = μ₂ sin θ₂ , where μ₁ and μ₂ are the refractive indices of the two media, and θ₁ and θ₂ are the angles of incidence and refraction, respectively.
When light travels from one medium to another with a different refractive index, the speed of light changes, causing the light to bend. This phenomenon is called refraction. The amount of bending depends on the angle of incidence and the refractive indices of the two media. Snell's law describes the relationship between the angles of incidence and refraction and the refractive indices of the two media.
Total Internal Reflection
12
⚡ Quick Summary
Explains the phenomenon where light is completely reflected back into a denser medium when the angle of incidence exceeds a certain critical angle.
Critical Angle: sin θ_c = μ₂/μ₁ (where μ₁ > μ₂), where θ_c is the critical angle, and μ₁ and μ₂ are the refractive indices of the denser and rarer media, respectively.
Total internal reflection occurs when light travels from a denser medium to a rarer medium. If the angle of incidence is greater than the critical angle, the light is completely reflected back into the denser medium. The critical angle is the angle of incidence for which the angle of refraction is 90 degrees.
Refraction through a Prism
12
⚡ Quick Summary
Describes how light is deviated when it passes through a prism, including the concept of the angle of minimum deviation.
Angle of Deviation: δ = i + e - A, where i is the angle of incidence, e is the angle of emergence, and A is the angle of the prism. For minimum deviation, δ = δ_m, i = e, and the refractive index μ = sin((A + δ_m)/2) / sin(A/2).
When light passes through a prism, it is refracted at both surfaces. The angle of deviation is the angle between the incident ray and the emergent ray. The angle of minimum deviation is the smallest angle of deviation that occurs when the angle of incidence and the angle of emergence are equal.
Refraction at Spherical Surfaces
12
⚡ Quick Summary
Deals with refraction when light passes through a curved surface separating two media.
Refraction at a spherical surface: μ₂/v - μ₁/u = (μ₂ - μ₁)/R, where μ₁ and μ₂ are the refractive indices of the two media, u is the object distance, v is the image distance, and R is the radius of curvature of the surface.
Refraction can occur at curved interfaces separating two media with different refractive indices. The position of the image formed depends on the radii of curvature of the surface, the object distance, and the refractive indices of the two media. The sign convention is crucial when applying the formula.