Problem 9. Geometric Optics a. A ray of light starts at position (x, y) = (-3.0, 1.0) cm and moves along 35° counterclockwise from the +x-axis and intersects a solid glass sphere at point A, then exits the glass sphere at point B. If the center of a glass sphere is at (5.0, 0) cm and the radius of the sphere is 7.0 cm, find the locations of point A and B, then draw their normal vector, incident ray, refracted ray, and reflected ray. Use your compass and ruler together with laws of reflection and refraction. b. A candle light is at position (x, y) = (–3.0, 1.0) cm. Let us that the x-axis is the optical axis with lens A located at (0, 0) cm and lens B at (-2.0, 0) cm. The focal length of lens A is 2.0 cm, while that of lens B is -4.0 cm. Draw to scale the principal rays to find the location and size of the final image due to the two lenses. Verify your answers using the thin lens equation. What is the magnification of the lens system?
Refraction of Light
Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.
Angle of Refraction
Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.
Index of Refraction of Diamond
Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.
a. A ray of light starts at position (x,y)=(−3.0,1.0) cm and moves along 35∘ counterclockwise from the +x−axis and intersects a solid glass sphere at point A, then exits the glass sphere at point B. If the center of a glass sphere is at (5.0,0) cm and the radius of the sphere is 7.0 cm, find the locations of point A and B, then draw their normal vector, incident ray, refracted ray, and reflected ray. Use your compass and ruler together with laws of reflection and refraction.
please answer question a only. thank you!
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