January 28th, 2010
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Optics Beam
Optics Beam
Helps with Physics optics problem?


Hello! I'm learning about optics in Physics, and need some help figuring out this problem.

If you could help me set it up (or even solve), that would be most appreciated!

Thank you! :)

3. A beam of light from a light source on the bottom of a swimming pool 3.0 meters deep strikes the surface of the water 2.0 meters to the left of the light source, as shown above. The index of refraction of the water in the pool is 1.33.
a. What angle does the reflected ray make with the normal to the surface?
b. What angle does the emerging ray make with the normal to the surface?
c. What is the minimum depth of water for which the light that strikes the surface of the water 2.0 meters to the left of the light source will be refracted into the air?

a.
Θ = angle of incidence
Θ = arctan(2/3)
Θ = 33.69 degrees

angle of reflection = angle of incidence
angle of reflection = 33.69 degrees

b.
β = angle of refraction
n_2*sin(β) = n_1*sin(Θ)
sin(β) = (n_1/n_2)*sin(Θ)
β = arcsin((n_1/n_2)*sin(Θ))
β = arcsin((1.33/1)*sin(33.69))
β = 47.54 degrees

c.
Θ_c = critical angle
Θ_c = arcsin(1/1.33)
Θ_c = 48.75 degrees

tan(48.75) = 2/d
d = 2/tan(48.75)
d = 1.75 m



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Description

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Hikari 00195 - JCR-8295 MR11/12V/5W/G4/30Deg MR11 Halogen Light Bulb Hikari 00195 - JCR-8295 MR11/12V/5W/G4/30Deg MR11 Halogen Light Bulb

 

Description

5 watt 12 volt MR11 Bi-Pin (G4) Base Fibre Optic Reflector Open Glass Halogen Incandescent Hikari / Higuchi Light Bulb

NCAA California Golden Bears Fiber Optic Adjustable Hat NCAA California Golden Bears Fiber Optic Adjustable Hat

List Price: $22.99

 

Description

Where did you get that hat? Sports fans everywhere will ask anyone wearing this where they can get the most exciting team logo hat available! These unique high quality baseball caps have the team logo fiber optically enhanced to display a dazzling array of team colors...

USA Flag Fiber Optic Adjustable Hat USA Flag Fiber Optic Adjustable Hat

List Price: $22.99

 

Description

Where did you get that hat? These unique high quality baseball caps have a fun design fiber optically enhanced to display a dazzling array of colors. A simple on/off switch lets you select between wearing a normal looking hat or turning the lights on and letting everyone see you flash...

Nascar Nextel Champion Fiber Optic Adjustable Hat Nascar Nextel Champion Fiber Optic Adjustable Hat

List Price: $19.99

 

Description

Where did you get that hat? Sports fans everywhere will ask anyone wearing this where they can get the most exciting team logo hat available! These unique high quality baseball caps have the team logo fiber optically enhanced to display a dazzling array of team colors...

Humminbird XNT 9 QB 90 T Transom Mount Transducer Humminbird XNT 9 QB 90 T Transom Mount Transducer

List Price: $89.99

 

Description

Transom Mount TransducerTransom Transducers mount on the transom (back) of the boat in contact with the surface of the water. To prevent damage to the boat or transducer. Transom mount hardware is included with the transducer...

HELLA 005750991 500 Series 12-Volt/55-Watt Black Magic Halogen Driving Lamp Kit HELLA 005750991 500 Series 12-Volt/55-Watt Black Magic Halogen Driving Lamp Kit

List Price: $145.19

 

Description

One Hella 500 Black Magic Driving Light Kit #005750991This Kit Includes 2 Halogen Driving Beam Lamps with Stone Shields (Shields are Black with White Hella Logo)1 Illuminated Switch2 H3 55W Halogen Bulbs1 12V Relay1 Complete Plug And Play HarnessStep By Step Mounting InstructionsFeatures: Light-Weight Design, Aluminum Vapor-Coated ReflectorSturdy, Shock Proof Housing, Easy Bulb Replacement, Easy Mounting Adjustment, Interactive Black Optics Technology Creates Unique Blackout Look When OffBrilliant White Driving Beam When On

HELLA 75804 Rallye 1000 Series 12-Volt/55-Watt Black Magic Halogen Driving Lamp Kit HELLA 75804 Rallye 1000 Series 12-Volt/55-Watt Black Magic Halogen Driving Lamp Kit

List Price: $323.99

 

Description

LMP KT RE 1000 BK MGC DRV

Astronomy Grade Green Beam Point Pen Light Astronomy Grade Green Beam Point Pen Light

List Price: $39.99

 

Description

This incredibly useful tool can be used to communicate confidently with your tree care clients and staff. Helps eliminate costly errors due to mis-communication or unclear verbal instructions. You'll be able to easily point out of reach areas in need of pruning or hazards needing attention...

Military Adjustable Focus Green Laser Pointer Pen 532nm Beam Powerful 5 Miles Military Adjustable Focus Green Laser Pointer Pen 532nm Beam Powerful 5 Miles

 

Description

Military Adjustable Focus Green Laser Pointer Pen 532nm Beam Powerful 5
Features:
1. 100% brand new high quality and perfect design.
2. Actual photo shown,Simple and easy to use
3.Use your laser pointer to point at any desired targets on projection screen, video
4...

LaserLyte Pistol Laser Trainer (9, 40, 45-Caliber) LaserLyte Pistol Laser Trainer (9, 40, 45-Caliber)

List Price: $99.95

 

Description

Become a crack shot without spending cash on expensive training ammo with the LaserLyte Laser Trainer Pro. The trainer--which fits the most popular pistol calibers--mounts inside the barrel of your pistol...

Laser Genetics Rifle Scope Mounted Laser Designator with Two Mounts Laser Genetics Rifle Scope Mounted Laser Designator with Two Mounts

List Price: $417.79

 

Description

BSA Laser Genetics ND3 laser Green laser with Rotary Optical Collimator Adjustable beam diameter & intensity Micro beam (smallest diameter) is visible up to 3 miles Larger-diameter beams illuminate trails or paint targets up to 250 yds away Water-resistant Nitrogen-filled to prevent fogging 1 tube (can be mounted on a gun) Battery has 7 hrs of continuous use Made of high-tech aluminum Anodized matte black finish 532nm laser 18mW output Class 2M Uses 1 CR123V lithium battery (included) 6...

Prism: Light Crystal Prism: Light Crystal

 

Description

Light Crystal Prism Lets you learn how to split a beam of light into a multicolored rainbow or look through the top beveled edgeto reflect images into wonderful kaleidoscope patterns. A quality acrylic prism

Finger Light Beams with Fiber Optics - SKU NO: 11522 Finger Light Beams with Fiber Optics - SKU NO: 11522

 

Description

Finger Light Beams with Fiber Optics are futuristic fancy fun! Much like soft bristle LED Fingernails, Fiber Optic Finger Lights really wow a crowd. Wear them to your favorite dance spot, to a costume party or pass them out to guests as party favors...




Fun with My Laser Communicator 22539355

Physics Optics Help please!?


An aquarium filled with water has flat glass sides whose index of refraction is 1.52. A beam of light from outside the aquarium strikes the glass at a 43.5 degree angle to the perpendicular. What is the angle of this light ray when it enters:

a)the glass
b)the water
c)What would be the refracted angle if the ray entered the water directly?

a.
sin43.5=1.52sinx
solve for x

b.
using the above value for x
1.52sinx=1.333siny
solve for y

c.
sin43.5=1.333sinz
solve for z

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