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PHY2054: Chapter 22 9 Chapter 22 Quiz Snell’s Law describes: (a) Huygens’ construction (b) Magnification (c) Reflection (d) Refraction

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Page 1: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 9

Chapter 22 QuizSnell’s Law describes:

(a) Huygens’ construction(b) Magnification(c) Reflection(d) Refraction

Page 2: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 10

Chapter 22 QuizFor refracted light rays, the angle of refraction:

(a) is always equal to the incident angle(b) is always greater than the incident angle(c) is always less than the incident angle(d) is always equal to the critical angle(e) can be less than, greater than, or equal to angle of incidence

Page 3: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 11

DispersionWhen light travels from one medium to another:

Speed decreasesWavelength decreasesFrequency constant

Refractive index is variableDepends on λn decreases as λ increases

nn

( )/ / / /n nc f c n f nλ λ= = =/nc c n=

Page 4: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 12

Dispersionn decreases as λ increases

For red light (λ = 700 nm) ⇒ n is smaller (less bending)For blue light (λ = 400 nm) ⇒ n is bigger (more bending)Angular spreading (“dispersion”) of colors due to refraction

Page 5: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 13

Rainbows Formed by DispersionLight is refracted by spherical water droplets

Sun must be behind you (rainbow is circular, with sun on axis)Red light bent at a lesser angle (top of rainbow)Violet light bent at a greater angle (bottom of rainbow)

Page 6: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 14

Understanding Refraction in Wave PictureConsider a row of soldiers slowing down in the mud

Wave fronts “turn” due to change of speed in the mediumAnalysis based on Huygens principleCloser analysis yields Snell’s law with cn = c / n

Page 7: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 15

Critical Angleθ < θc beam partly reflected & partly refracted at boundary

Rays 1, 2, 3

θ > θc beam is entirely reflected at the boundary (ray 5)Total internal reflection occurs only when n1 > n2

2 1sin /c n nθ =

90°

Page 8: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 16

Critical Angles (to vacuum)

24.4°2.42Diamond31.9°1.89Heaviest flint glass34.4°1.77Sapphire37.2°1.655Tooth enamel37.3°1.65Heavy flint glass40.4°1.544Quartz40.5°1.54Sodium chloride41.1°1.52Crown glass42.8°1.473Glycerine47.3°1.36Ethyl Alcohol48.6°1.333Water49.8°1.31Ice88.6°1.00029Air90.0°1Vacuum

Critical angleNSubstance

sin 1/c nθ =

Page 9: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 17

Intensity During Transition to Critical AngleTransition is actually very smooth

Incident ray is reflected and refractedAs incident angle approaches critical angle, intensity of refracted ray goes to zero and reflected ray takes all the intensity

Page 10: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 18

Fiber OpticsBased on total internal reflection

Fiber has inner “core” of optically dense glassOuter “cladding” of less optically dense glass

Light rays passed through core to make shallow reflections with surface ⇒ 100% reflection at each bounce

Page 11: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 19

Fiber Optic ConstructionTrick is to make core absorb no light

So light can be transmitted over long distancesRequires ultra-pure glass (no impurities, variations)

Many fibers can be carried in a bundle

Page 12: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 20

Construction of Fiber Optic Cable

Single mode fiber

Page 13: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 21

Medical applicationsVisual scoping of internal organs, arteries, joints, etc.

Uses bundles of fibers to form an image

Page 14: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 22

Fiber Optic Cables

Page 15: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 23

Communications ApplicationsOptical fibers can carry digital information

Telephone, networks, Internet

High frequency of light ⇒ high rate of information transfer“High bandwidth”, several Tb/s over single fiber

Signals can travel ∼ 100 km before needing boostNot susceptible to electrical noise

Replacing copper wires for long distance communication

Page 16: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 24

Chapter 22 QuizTotal internal reflection

(a) refers to light being reflected from a plane mirror(b) may occur when a fisherman looks at a fish in a lake(c) may occur when a fish looks at a fisherman on a lake

Page 17: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 25

Chapter 22 QuizTotal internal reflection

(a) refers to light being reflected from a plane mirror(b) may occur when a fisherman looks at a fish in a lake(c) may occur when a fish looks at a fisherman on a lake

Page 18: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 26

National Lambda Rail Fiber Infrastructure

Only NLR Backbone links shown

www.nlr.net/

Page 19: Chapter 22 Quiz - Department of Physics at UF · PHY2054: Chapter 22 10 Chapter 22 Quiz ÎFor refracted light rays, the angle of refraction: (a) is always equal to the incident angle

PHY2054: Chapter 22 27

Florida Lambda Rail (10 Florida Universities)

www.flrnet.org/