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Reflection and Refraction - Physics with Calculus

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  • What is reflection in the context of light?

    Reflection is when light is returned into the medium from which it came after illuminating a material.

  • What principle explains the path light takes between two points?

    Fermat’s principle of least time states that light takes the quickest path from one place to another.

  • State the law of reflection.

    The angle of reflection equals the angle of incidence, both measured from the normal to the reflecting surface.

  • What is the 'normal' in reflection?

    The normal is an imaginary line perpendicular to the reflecting surface, lying in the same plane as incident and reflected rays.

  • How does a plane mirror form an image?

    A plane mirror forms a virtual image that is the same size as the object, located as far behind the mirror as the object is in front.

  • What is the difference between images formed by convex and concave mirrors?

    Convex mirrors form smaller, closer virtual images; concave mirrors form larger, farther virtual images for close objects.

  • What is diffuse reflection?

    Diffuse reflection occurs when light reflects off a rough surface, scattering in many directions, allowing us to see objects from various angles.

  • What causes refraction of light?

    Refraction is caused by a change in the speed of light as it passes obliquely from one medium to another, bending the light rays.

  • What is the refractive index of a material?

    The refractive index is the ratio of the speed of light in vacuum to the speed of light in the material, denoted as \(n\).

  • What happens to light that bends toward the normal during refraction?

    Light that bends toward the normal has slowed down entering a medium with a higher refractive index.

  • What happens to light that bends away from the normal during refraction?

    Light that bends away from the normal has sped up entering a medium with a lower refractive index.

  • What optical illusion is caused by refraction in water?

    Objects submerged in water appear closer to the surface due to refraction.

  • What causes atmospheric refraction effects like mirages?

    Atmospheric refraction bends light rays, causing illusions such as mirages and displacement of objects like the Sun.

  • What is dispersion of light?

    Dispersion is the separation of white light into colors arranged by frequency, such as when passing through a prism.

  • Why does green light bend more than red light in a prism?

    Green light bends more than red because it has a higher frequency and is refracted more by the prism.

  • How are rainbows formed?

    Rainbows form by dispersion of sunlight by millions of water drops, creating a cone of colors visible to the observer.

  • What distinguishes the secondary rainbow from the primary rainbow?

    The secondary rainbow is dimmer, has reversed colors, and is caused by two internal reflections inside raindrops.

  • What is total internal reflection?

    Total internal reflection occurs when light inside a medium hits the boundary at or above the critical angle and reflects entirely within the medium.

  • What is the critical angle in total internal reflection?

    The critical angle is the minimum angle of incidence inside a medium at which light is totally internally reflected at the boundary with a less dense medium.

  • How are optical fibers related to total internal reflection?

    Optical fibers use total internal reflection to transmit light efficiently over long distances with minimal loss.

  • What are the two common types of lenses and their effects on light?

    Converging (convex) lenses are thicker in the center and focus light; diverging (concave) lenses are thinner in the center and spread light.

  • What is the focal point of a lens?

    The focal point is where incident parallel light rays converge after passing through a lens.

  • What is spherical aberration in lenses?

    Spherical aberration is distortion caused when light rays passing through the edges of a lens focus at different points than rays through the center.

  • What causes chromatic aberration in lenses?

    Chromatic aberration results from different colors of light refracting at different speeds, causing color fringes in images.

  • What is astigmatism related to lens defects?

    Astigmatism is caused by an uneven curvature of the eyeball's front surface, leading to distorted vision.