/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q40P A light ray in air strikes the r... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A light ray in air strikes the right angle prism shown in Fig. P33.40. The prism angle at Bis 30.0° . This ray consists of two different wavelengths. When it emerges at face AB, it has been split into two different rays that diverge from each other by. Find the index of refraction of the prism for each of the two wavelengths

Short Answer

Expert verified

the index of refraction for the upper ray would be 1.098

the index of refraction for the lower ray would be 1.139

Step by step solution

01

About Index of refraction

The index of refraction, n, is the ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c': One consequence of this difference in speed is that when light goes from one medium to another at an angle, the propagation vector in the new medium has a different angle with respect to the normal.

02

DEtermine the index of refraction for the upper layer

I-or the first ray, since the angle IS 60 at point B, pnsm angle at point B Will be 60 _ I he angle of refraction tor the upper ray

would be 72° (60° 42° )- Now apply the Snell's Law to get the index of refraction-

Hence, the index of refraction for the upper ray Would be 1.098

03

Index of refraction for lower ray

For the second ray, the angle of refraction for the upper ray Would be 805° (60° +12°+8.5° )- Now apply the Snell's Law to

n - sin(60°) = 1 - sin(80.5°XIndex of refraction: Prism =n, Air 2 1)

For the second ray, the angle of refraction for the upper ray would be 80.5° (60° +12°+8.5° ). Now apply the Snell's Law to

get the index of refraction-

Hence, the index of refraction for the lower ray Would be 1.139

Result 4 0f 4

1-098, 1-139

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Two plane mirrors intersect at right angles. A laser beam strikes the first of them at a point 11.5 cm from their point of intersection, as shown in Fig. E33.1. For what angle of incidence at the first mirror will this ray strike the midpoint of the second mirror (which is 28.0 cm long) after reflecting from the first mirror?

You use a lens of diameter and light of wavelength and frequency to form an image of two closely spaced and distant objects. Which of the following will increase the resolving power? (a) Use a lens with a smaller diameter; (b) use light of higher frequency; (c) use light of longer wavelength. In each case justify your answer.

A converging lens with a focal length of 12.0 cmforms a virtual image 8.00 mmtall, 17.0 cmto the right of the lens. Determine the position and size of the object. Is the image erect or inverted? Are the object and image on the same side or opposite sides of the lens? Draw a principal-ray diagram for this situation.

People with normal vision cannot focus their eyes underwater if they aren’t wearing a face mask or goggles and there is water in contact with their eyes (see Discussion Question Q34.23). (a) Why not? (b) With the simplified model of the eye described in Exercise 34.50, what corrective lens (specified by focal length as measured in air) would be needed to enable a person underwater to focus an infinitely distant object? (Be careful—the focal length of a lens underwater is not the same as in air! See Problem 34.92. Assume that the corrective lens has a refractive index of and that the lens is used in eyeglasses, not goggles, so there is water on both sides of the lens. Assume that the eyeglasses are 2.00cm in front of the eye.)

(a) Where is the near point of an eye for which a contact lens with a power of +2.75 diopters is prescribed? (b) Where is the far point of an eye for which a contact lens with a power of -1.30 diopters is prescribed for distant vision?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.