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Chapter 33: Q70P (page 1006)

Question: In Fig. 33-64, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n2=1.5 . Beneath material 2is material 3 with an index of refraction n3.The ray is incident on the air鈥搈aterial 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3happens to be incident on the material 2-material 3 interface at the Brewster angle for that interface. What is the value of n3 ?

Short Answer

Expert verified

The value of n3is 1.

Step by step solution

01

Given

The refractive index of the material 2 is n2=1.5

The refractive index of the first medium i.e. air isn1=1

02

Understanding the concept

By using the formula of Brewster鈥檚 angle and as the figure say that the layers are parallel so that the refraction regarding the first is the same as the angle of incidence regarding the second surface.

Formula:

Brewster鈥檚 angle

胃B=tann2n1

03

Step 3: Calculate the value of n3.

Since the layers are parallel, the angle of refraction of the first surface is the same as the angle of incidence of the second surface. Thus,

胃2=胃1c=90鈭�-胃

Brewster鈥檚 angle is given by

胃B=tan-1n2n1胃1=tan-11.51=56.31鈭�

Therefore,

胃2=90鈭�-56.31o=33.69鈭�

We can apply Brewster鈥檚 law to both refractions. Therefore,

n2n1n3n2=迟补苍胃1鈫�2迟补苍胃2鈫�3n3n1=迟补苍胃1迟补苍胃2n31=tan56.31鈭�tan33.69鈭�n3=1

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Most popular questions from this chapter

The electric component of a beam of polarized light is

Ey=(5.00V/m)sin[1.00脳106m- 1z+蝇t].

(a) Write an expression for the magnetic field component of the wave, including a value for 蝇.

What are the (b) wavelength, (c) period, and (d) intensity of this light?

(e) Parallel to which axis does the magnetic field oscillate?

(f) In which region of the electromagnetic spectrum is this wave?

What is the intensity of a traveling plane electromagnetic wave if Bmis1.0脳10-4T?

Question: In Fig. 33-62, a light ray in air is incident at angle 胃1on a block of transparent plastic with an index of refraction of. The dimensions indicated are H=2.00cmandW=3.00cm. The light passes through the block to one of its sides and there undergoes reflection (inside the block) and possibly refraction (out into the air). This is the point offirst reflection. The reflected light then passes through the block to another of its sides 鈥� a point ofsecond reflection. If 胃1=40鈭�, on which side is the point of (a) first reflection and (b) second reflection? If there is refraction at the point of (c) first reflection, and (d) second reflection, give the angle of refraction; if not, answer 鈥渘one鈥�. If 胃1=70鈭�, on which side is the point of (e) first reflection and (f) second reflection? If there is refraction at the point of (g) first reflection, and (h) second reflection, give the angle of refraction; if not, answer 鈥渘one鈥�.

If the magnetic field of a light wave oscillates parallel to a y axis and is given byBy=Bmsin(kz-蝇t), (a) in what direction does the wave travel and (b) parallel to which axis does the associated electric field oscillate?

Some neodymium鈥揼lass lasers can provide100TWof power in1.0nspulses at a wavelength of0.26渭m. How much energy is contained in a single pulse?
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