Each part of Fig. 33-34 shows light that refracts through an interface between two materials. The incident ray (shown gray in the figure) consists of red and blue light. The approximate index of refraction for visible light is indicated for each material. Which of the three parts show physically possible refraction? (Hint: First consider the refraction in general, regardless of the color, and then consider how red and blue light refract differently?

Short Answer

Expert verified

None of the parts shows physically possible refraction.

Step by step solution

01

The given data

Figure 33-34 consists of three cases that show refraction through an interface between two materials.

02

Understanding the concept of bending due to refraction

Analyzing the given figure and using the concept of refraction, we can predict the part that shows physically possible refraction. For a material with a higher refractive index, the light bends towards the normal line, while for a material with a low refractive index, it speeds up and bends away from the normal line.

03

Calculation to get the possible case of refraction

Let’s draw the normal to the surfaces.

When light travels from a rarer to a denser medium, it refracts towards the normal, and when it travels from a denser to a rarer medium, it refracts away from the normal.

In part (a), light travels from a rarer to a denser medium, and red light is refracted away from the normal.

So, this part is not physically possible.

In part (b), incident and refracted lines are on the same side of the normal.

So, this part is not physically possible.

In part (c), light travels from a denser to a rarer medium. Blue light must bend more than red as the refractive index of blue light is more than that of red light.

So, this part is not physically possible.

Hence, none of the above-given cases is physically possible.

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 Vaia!

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

Figure 33-74 shows a cylindrical resistor oflengthI,radius a, and resistivityr carrying current.i(a) Show that the Poyntingvector at the surface of the resistor is everywhere directed normal to the surface, as shown. (b) Show that the rate at which energy flows into the resistor through its cylindrical surface, calculated by integrating thePoynting vector over this surface, is equal to the rate at which thermal energy is produced: localid="1664201793898" SdA=i2R wherelocalid="1664201800300" dA is an element of the area on the cylindrical surface and localid="1664201803478" R is the resistance.

In Fig. 33-78, where n1=1.70, n2=1.50,andn3=1.30,light refracts from material 1 into material 2. If it is incident at point A at the critical angle for the interface between materials 2 and 3, what are (a) the angle of refraction at pointBand (b) the initialangleθ?If, instead, light is incident atBat the critical angle for the interface between materials 2 and 3, what are (c) the angle of refraction at pointAand (d) the initial angleθ? If, instead of all that, light is incident at point Aat Brewster’s angle for the interface between materials 2 and 3, what are (e) the angle of refraction at point B and (f) the initialangleθ?

Calculate the (a) upper and (b) lower limit of the Brewster angle for white light incident on fused quartz. Assume that the wavelength limits of the light are 400 and 700 nm.

During a test, a NATO surveillance radar system, operating at 12GHzat180kW of power, attempts to detect an incoming stealth aircraft at90km.Assume that the radar beam is emitted uniformly over a hemisphere. (a) What is the intensity of the beam when the beam reaches the aircraft’s location? The aircraft reflects radar waves as though it has a cross-sectional area ofonly0.22m2.(b) What is the power of the aircraft’s reflection? Assume that the beam is reflected uniformly over a hemisphere. Back at the radar site, what are (c) the intensity, (d) the maximum value of the electric field vector, and (e) the rms value of the magnetic field of the reflected radar beam?

(a), unpolarized light is sent into a system of three polarizing sheets. The angles θ1,θ2 and θ3of the polarizing directions are measured counterclockwise from the positive direction of theyaxis (they are not drawn to scale).Angles θ1and θ3are fixed, but angleθ2 can be varied. Figure

(b) gives the intensity of the light emerging from sheet 3 as a function ofθ2 . (The scale of the intensity axis is not indicated.) What percentage of the light’s initial intensity is transmitted by the three-sheet system whenθ2=90° ?

Figure:

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.

Sign-up for free