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Light: Reflection and Refraction

  • Light and Vision: Light is a form of energy that makes things visible. We see objects because they reflect light into our eyes.

  • Reflection of Light: When light bounces off a surface, it's called reflection. Mirrors are highly reflective surfaces.

    • Laws of Reflection:

      • The angle of incidence (incoming light) equals the angle of reflection (outgoing light).

      • The incident ray, reflected ray, and the normal (a line perpendicular to the surface) all lie in the same plane.

    • Types of Mirrors:

      • Concave Mirrors: Curve inward, can create real or virtual images depending on object position. Used in telescopes, headlights, and makeup mirrors.

      • Image formation:

      • Convex Mirrors: Curve outward, always create virtual, upright, and smaller images. Used for security mirrors, car side mirrors for a wider field of view.

      • Image formation:

  • Refraction of Light: The bending of light as it passes from one medium (like air) to another (like water) is called refraction. This happens because light changes speed in different media.

    • Laws of Refraction (Snell's Law):

      • Similar to reflection, the incident ray, refracted ray, and normal all lie in the same plane.

      • The ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant for a given pair of media.  

    • Refractive Index: A measure of how much a substance can bend light. Higher refractive index means light slows down more and bends more.

  • Lenses: Lenses are curved pieces of glass or plastic that refract light to form images.

    • Types of Lenses:

      • Convex Lenses: Thicker in the middle, converge (bring together) light rays. Used in magnifying glasses, cameras, and eyeglasses for farsightedness.

      • Image formation:

      • Concave Lenses: Thicker at the edges, diverge (spread out) light rays. Used in eyeglasses for nearsightedness and some telescopes.

      • Image formation:F

    • Lenses form images based on the object's position and the lens's shape. Images can be real or virtual, upright or inverted, magnified or diminished.

  • Power of a Lens: Measured in diopters, it indicates how strongly a lens converges or diverges light. It's the reciprocal of the focal length (the distance between the lens and where it focuses parallel rays).

  • FORMULAS:

Mirrors:

  • Mirror Formula: (Very similar to the lens formula)

    • 1/f = 1/v + 1/u

    • Where:

      • f = Focal length of the mirror

      • v = Distance of the image from the mirror

      • u = Distance of the object from the mirror

  • Magnification (m):  

    • m = hᵢ/h₀ = -v/u

    • Where:

      • m = Magnification

      • hᵢ = Height of the image

      • h₀ = Height of the object

    • Lenses:

      • Lens Formula (Thin Lens Equation):

        • 1/f = 1/v + 1/u

        • Where:

          • f = Focal length of the lens

          • v = Distance of the image from the lens

          • u = Distance of the object from the lens

      • Magnification (m):

        • m = hᵢ/h₀ = -v/u

        • Where:

          • m = Magnification

          • hᵢ = Height of the image

          • h₀ = Height of the object

      • Power of a Lens (P):

        • P = 1/f (in diopters)

        • Where:

          • f = Focal length of the lens (in meters)