🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
Physics
1
answer
0
watching
43
views
10 Nov 2019

Binoculars generally use pairs ofprisms in which the light experiences total internal reflection.Each prism (in blue on the diagram) is right-angled, with the othertwo angles being 45°. A diagram of the path followed by light as ittravels through the prisms to your eyes is shown in the figureabove. If the prisms are surrounded by air, determine the minimumindex of refraction of the prism material.

Watch
1
answer
0
watching
43
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Reid Wolff
Reid WolffLv2
23 Sep 2019

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

In your work for an optical research company, you are asked to consider the triangular shaped prism shown in Figure P34.48. Light enters the left slanted side of the prism from air at normal incidence, reflects from the top surface by total internal reflection, and then refracts out of the right slanted surface.

(a) Your supervisor asks you to determine the range of angles over which visible light exits the right slanted surface due to dispersion in the material.

(b) An actual physical prism of the shape in Figure P34.48 is then made from cubic zirconia with and , and it doesn't work as planned. Explain to your supervisor why not.

Prob. 2. Two converging lenses, A witha focallength of +2.0cm and B

with a focal length of +5.0cm, areplaced 14cmapart. An object is

place 3.0cm to the left of lensA.

A) Use graphical methods, to scale, toconstruct theray diagram

with a measurement of the final imageposition andheight; and

B) Use the lens equation determinethecharacteristics of the

image.

Prob. 3. A prism with angles 45°,45°, and 90° is tobe used to turn a

beam of light through a 90° angle.What is theminimum index of

refraction for the material of theprism that willgive the total

internal reflectionneeded?

Prob. 4. A tarantula is sitting 4.5min front of aconcave spherical mirror

with radius of R =1.4m.

A) Construct a ray diagram to scaleshowing theobject, image and

the mirror. Determine graphicallythecharacteristics of the image.

B) If the image is 5.0cm tall, howhigh is thetarantula?

Prob. 5. A Young’s double slitapparatus has theslit separation of

0.12mm and the distance between theslits and theviewing

screen is 55 cm.

A) If monochromatic light ofwavelength λ = 550x10-9mpasses

through the slits, calculate thedistance betweenthe central

(bright) fringe and the adjacentbright fringe.

B) Now imagine that you are usingX-rays, λ=1x10–9minstead of

visible light in this experiment. Whatwould theslit separation

need to be in order to have thedistance betweenthese first two

bright fringes be1cm?

Prob. 6. Acombination of blue light (n=1.60) andred light (n=1.50)is

incident on the surface of a flatglass plate.Because of dispersion

there are two refracted rays. Draw adiagram showingthe incident

and both refracted rays, indicatingthe red and theblue rays.

Calculate the angle between therefracted blue andred rays.

Extra Credit

1. A particular optical fiber consists of a cylindrical “core”(n = 1.46) surrounded by a concentric cylindrical jacket called the“cladding” (n = 1.43). The cladding, in turn, is surrounded by air(n = 1.00). An incoming ray of light has an angle α to the centralaxis of the core, as shown.

a. For what range of angles for α will the ray experience totalinternal reflection at the core-cladding interface? Show your workbelow.

b. Assuming that α has a value that lies within the range youcalculated for part (a), carefully sketch the
continued path of the ray on the diagram above until it reachesright side of the optical fiber. (While you do not need to measureexact angles with a protractor, the overall shape of your path mustbe qualitatively correct and self- consistent.) Use astraightedge!

c. (5 pts.) For what range of angles for α will the ray passthrough both the core-cladding interface and the
cladding-air interface (thereby escaping from the upper edge of thecladding into the air)? Show your work below.

d. (2 pts.) Again, assuming that α has a value that lies withinthe range you calculated for part (c), carefully sketch thecontinued path of the ray on the diagram above until it hastraveled at least a short distance into the air. (While you do notneed to measure exact angles with a protractor, the overall shapeof your path must be qualitatively correct and self-consistent.)Use a straightedge!

e. (5 pts.) Suppose that a very long bundle of many opticalfibers just like the one above is laid along the ocean floor.Pulses of light are sent through the fibers to carry telephoneconversations and Internet data from California to Hawaii. How muchtime does it take light entering one end of a 2550-mile-long fiberto reach the other end? (Assume that the ray enters the aboveoptical fiber exactly on the central axis of the core (α = 0˚) andthat the fiber is perfectly straight.) Show your work. (Hint: Whatis the speed of light inside the core?)

Weekly leaderboard

Home
Homework Help 3,900,000
Physics 110,000
Start filling in the gaps now
Log in