Physics teacher Mr. Umesh Singh Rana Classroom Rules • • • • • • • • • • Arrive on time. Raise your hand before speaking. Do your assignments. Bring materials and have them ready. Agree to the seating plan or talk to your teacher privately. Go to the toilet during break and lunchtime. You will not be allowed during a lesson unless you have a medical pass. Listen to directions. Always be polite and considerate to everybody. Obey all school rules. Be safe! Fundamentals of Light SECTION 1 Illumination • the light travels in a straight line. Ray Model of Light After interacting at a boundary, the ray still moves in a straight line, but its direction is changed. These basic principles—that light travels in straight lines and that its direction can be changed by encountering a boundary—constitute the ray model of light. Sources of light Worksheet • Objects such as the Sun that emit their own light are luminous sources, while those that you see due to light reflecting from them are illuminated sources. Light and matter Objects can absorb, reflect, or transmit light. Worksheet Quantity of Light • Three main factors determine the brightness: 1. the quantity of light the flashlight produces.(depends on luminous flux) 2.the distance between the light bulb and your eye.(illuminance decreases as distance increases) 3.and the angle at which the light rays hit your eye.(depends on luminous intensity ) luminous flux • The rate at which the bulb, a luminous source, produces light energy is called the luminous flux (P) and is measured in lumens (lm). Illuminance • the rate at which the light strikes the unit area of the surface called illuminance (E). • It is measured in lux (lx), which is equivalent to lumens per square meter (lm/ m 2 ). Figure shows that the illuminance produced by a point source is proportional to 1/r2 , an inverse- square relationship. Luminous intensity • Luminous intensity: The luminous flux per unit solid angle as measured in a given direction relative to the emitting source. • so luminous intensity is luminous flux divided by 4π. • Luminous intensity is measured in candelas (cd). • Example: A bulb with 1750 lm of flux has an intensity of 1750 lm/4π = 139 cd If P is constant, then E is inversely proportional to r 2 2 • When r increases, E decreases. • When r 2 decreases, E increases. If both sources in Figure had the same luminous intensity, the source at 2r would only provide one-quarter the illuminance to the screen. This is consistent with the inversesquare relationship we just developed. Home work: page 24 – Questions 30,33,34 Surface Illumination • If an object is illuminated by a point source of light, then the illuminance at the object is equal to the luminous flux of the light source divided by the surface area of the sphere whose radius is equal to the distance the object is from the light source. P E 2 4 r The Speed of Light • Michelson’s measurements • Michelson used a set of rotating mirrors to measure such small time intervals. Michelson’s best result was (2.99796 ± 0.00004)×10^8 m/s. • For this work, he became the first American to receive a Nobel Prize in science. • the speed of light in a vacuum to be c = 299,792,458 m/s. • light travels 9.46×1 0^12 km in a year. This distance is called a light-year. SECTION 2 The Wave Nature of Light • Diffraction and the Wave Model: the bending of light as it passes the edge of a barrier diffraction. • Huygens’ principle: According to Huygens’ principle, all the points of a wavefront of light can be thought of as new sources of smaller waves. These smaller waves, or wavelets, expand in every direction and are in step with one another. Color • In 1666 Newton performed experiments on the colors produced when a narrow beam of sunlight passed through a glass prism, as shown in Figure. • Different wavelengths: The work of Grimaldi, Huygens, Newton, and others suggested that the color of light is related to wavelength. • Visible light falls within the range of wavelengths from about 400 nm (4.00×10^-7 m) to 700 nm (7.00×1 0 ^-7 m). The longest visible wavelengths are seen as red light and the shortest as violet. Color by addition of light Red, green and blue are called primary colors Complementary colors are two colors of light that can be combined to produce white light. Thus, yellow is a complementary color of blue, and vice versa. Color by subtraction of light Dyes Pigments Dyes can be made from plant or insect extracts. The difference between a dye and a pigment is that pigments usually are made of crushed minerals rather than plant or insect extracts. For example, purple dye can be extracted from the berries of a black mulberry tree. For example, hematite produces a red pigment. primary pigment secondary pigment A pigment that absorbs only one primary color and reflects two from white light is called a primary pigment. A pigment that absorbs two primary colors and reflects one color is called a secondary pigment. Yellow pigment absorbs blue light and reflects red and green light. Yellow, cyan, and magenta are the colors of primary pigments The colors of secondary pigments are red (which absorbs green and blue light), green (which absorbs red and blue light), and blue (which absorbs red and green light). Polarization of Light • Polarization is the production of light with a specific pattern of oscillation. Polarization by filtering • • • The lines in the polarizer in Figure represent a polarizing axis. The light with the portion of the electric field that oscillates parallel to these lines passes through. The light with the portion of the electric field that oscillates perpendicular to these lines is absorbed. If a polarizer is placed in a beam of non-polarized light, only the components of the waves in the same direction as the polarizing axis can pass through. As a result, half of the total light passes through, reducing the intensity of the light by half. Polarization by reflection • Photographers can use polarizing filters over camera lenses to block reflected light. This result is shown in Figure. MALUS’S LAW • The intensity of light coming out of a second polarizing filter is equal to the intensity of polarized light coming out of a first polarizing filter multiplied by the cosine, squared, of the angle between the polarizing axes of the two filters. I 2 I1 cos 2 Speed, Wavelength, and Frequency of Light • For light of a given frequency traveling through a vacuum, wavelength is a function of the speed of light (c), which can be written as λ = c/f. • The Doppler effect: • Observed Light Frequency • The observed frequency of light from a source is equal to the actual frequency of the light generated by the source, times the quantity 1 plus the relative speed along the axis, divided by the speed of light, between the source and the observer if they are moving toward each other, or 1 minus the relative speed, divided by the speed of light, if they are moving away from each other. f obs. = f (1 ± v/c) • Doppler Shift • The difference between the observed wavelength of light and the actual wavelength of light generated by a source is equal to the actual wavelength of light generated by the source, times the relative speed of the source and observer, divided by the speed of light. • ( λ obs. - λ) = ∆λ= ± (v/c)λ CONNECTION TO ASTRONOMY