Chapter 16 : WAVES - Light - LCHS Physical Science LCHS Main SiteSD271 Main siteUof I New Century Classroom  
Objectives: The learner will...
...understand and apply concepts of light in various problems including: velocity, wavelength, frequency, spectrum, reflection, refraction and diffraction
Vocabulary:
photon : the smallest "wave packet" of light that can exist
reflection :
light is bent by bouncing off atoms
refraction :
light is bent by travelling through a transparent boundary of atoms
diffraction :
light is bent by travelling near atoms
focal point :
parallel rays of light are reflected or refracted through this point in space
 


LIGHT INTRO


When an electron changes its energy level a photon of light is either emitted or absorbed. A photon is the smallest "wave packet" of light that can exist. Since moving electrons are the chief moderators of energy-photon conversions, light is a transverse wave composed of both electric and magnetic field properties (electromagnetic waves). Light obeys the wave equation from the previous tutorial, , but the velocity of light remains fairly constant at about 3E8 (300,000,000) m/s. Light was thought to have infinite speed up until 1675 when Olaf Roemer used the eclipsing moons of Jupiter to predict that it was less than 11 minutes per Astronomical Unit (AU = average distance from the earth to the sun). Visible light (ROYGBIV = Red, Orange, Yellow, Green, Blue, Indigo, Violet) comprises a miniscule portion of the electromagnetic spectrum. The rest of the spectrum includes electric power waves, radio waves, short waves, microwaves, infrared (before visible red), ultraviolet (after visible violet), x-rays, and gamma rays.

Click Here for an excellent spectrum demo

Just like sound energy, light energy that is emitted from a source (equally in all directions) will decrease in intensity with distance according to the inverse square law. The amount of visible light that falls an a surface is called luminous Flux (unit:lumen). 1 lumen equals the amount of light that falls on each square meter of a sphere surface with a radius of 1 meter and a light source at the center with an Intensity of 1 candela.To figure the total luminous Flux that a source of a given Intensity has use F = 4I . If the light is not hitting the surface straight on (perpendicular/normal) then the intensity of the luminous flux is reduced according to the angle of incidence. I' = I cos. This accounts for how the tilt of the earth to the sun affects the seasons.

REFLECTION, REFRACTION, DIFFRACTION
Light can be reflected and refracted. Reflection occurs when the photons of light are absorbed and then emitted in the opposite direction in which they came. Refraction occurs when a transparent object bends the path of the photons as they pass through the medium. Rays from an object (at a distance do ) hit the surface of a curved mirror or lens and are then reflected/refracted past the focal point ( f ) and may converge to form an image if a screen is placed at a specific distance di , and follow the equation f = 1 / (1/do + 1/di). Transparent materials will bend light more or less according to their index of refraction (n). Air has a reference index of n = 1 and water n = 1.33. The incident angle i and its index of refraction follow an inverse relationship with the refracted angle r and its index of refraction.

Click Here for a nifty lens refraction demo!


Light rays can also be bent when they pass near and object as well. This is called diffraction. If a hair with diameter do is placed in the path of a laser beam of wavelength it will demonstrate wavelike properties by making an unexpected interference pattern on a screen a distance L from the hair. The distance the interference spots are apart d form a geometric relationship that can be exploited to find the thickness of the hair causing the diffraction pattern. Ask the teacher for the laser and perform this experiment in class!
















 
Practice: Help:
PB1
How far (m) will light travel in .061 secs?
v=d/t
300,000,000=d/.061
PB2
What is the wavelength of an electromagnetic wave with a frequency of 1.6E+11 Hz?

= 300,000,000/160,000,000,000
PB3
What is the frequency (Hz) of an electromagnetic wave with a wavelength of 6.8E-8 meters?

f
= 300,000,000/.000000068
PB4
In the electromagnetic spectrum what comes after orange?
(IR-ROYGBIV-UV)
PB5
What is the index of refraction for a material that slows light down to 1.652721E+8 m/s?
n = Vc / Vr
n= 300,000,000/165,272,100
PB6
What is the perceived depth (m) of a fish that is actually 79 meters deep in water?
d = 79 / n
n is 1.33
PB7
For a concave spherical mirror, what is its focal length (cm) if an object placed at 78 cm projects an image at 51 cm?

f = 1 / (1/do + 1/di)

PB8
For a convex lens, what is its focal length (cm) if an object at 84 cm projects an image at 80 cm?
f = 1 / (1/do + 1/di)
PB9
For a convex lens with a focal length of 7.6 cm, a candle placed at 45.6 cm from the lens will project an image how many cm from the lens?
f = 1 / (1/do + 1/di)
di = 1 / (1/f - 1/do)
PB10
How many candels is a 64 W bulb rated at 250 lumens?
F = 4I
I = 250 / 4
answer bank: (some are bogus)
1.83E+7
.001875
red
30.83721
40.97561
59.39849
yellow
4.411765E+15
19.89437
9.12
1.815189

Scientist Spotlight:
James Clerk Maxwell 1831-1879
Scottish mathematician and physicist who published physical and mathematical theories of the field.

Resources (Study Links/Study Tips/Reading Lists)
Spectrum demo
Lens refraction demo
Next big physics controversy! Is the speed of light truly constant?

Chapter 16 : WAVES - Light - LCHS Physical Science LCHS Main SiteSD271 Main siteUof I New Century Classroom  
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