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Chapter 33: Q32P (page 1002)

In the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of胃1=胃2=胃3=50掳with the direction of theyaxis. What percentage of the initial intensity is transmitted by the system? (Hint: Be careful with the angles.)

Figure:

Short Answer

Expert verified

The intensity of light after the third polarizer isIf=0.045%I0

Step by step solution

01

Given

胃1=胃2=胃3=500

02

Determining the concept

According to Malus law, the intensity of a beam of plane-polarized light after passing through a rotatable polarizer varies as the square of the cosine of the angle through which the polarizer is rotated from the position that gives maximum intensity.

03

Determining the percentage of the initial intensity is transmitted by the system

The intensity of light after the third polarizer is:

If=I02(胃1+胃2)(胃2+胃3)If=0.5脳(50+50)(50+50)IfI0=4.5脳10鈭�4鈭�If=0.045%I0

Hence, the intensity of light after the third polarizer isIf=0.045%I0.

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Most popular questions from this chapter

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�.

(a) Figure 33-27 shows light reaching a polarizing sheet whose polarizing direction is parallel to a y axis. We shall rotate the sheet 40掳 clockwise about the light鈥檚 indicated line of travel. During this rotation, does the fraction of the initial light intensity passed by the sheet increase, decrease, or remain the same if the light is (a) initially unpolarized, (b) initially polarized parallel to the x axis, and (c) initially polarized parallel to the y axis?

Figure 33-31 shows the multiple reflections of a light ray along a glass corridor where the walls are either parallel or perpendicular to one another. If the angle of incidence at point a is30掳, what are the angles of reflection of the light ray at points b, c, d, e, and f?

In Fig. 33-48a, a light ray in water is incident at an angle胃1on a boundary with an underlying material, into which some of the light refracts. There are two choices of the underlying material. For each, the angle of refraction胃2versus the incident angleis given in Fig. 33-48b. The vertical axis scale is set by胃2s=90掳. Without calculation, determine whether the index of refraction of

(a) material 1 and

(b) material 2 is greater or less than the index of water(n=1.33).What is the index of refraction of

(c) materialAnd

(d) material?

Question: In Fig. 33-58, light from rayArefracts from material 1(n1=1.60)into a thin layer of material 2(n2=1.80) , crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 .(a) What is the value of incident angle 胃A ? (b) If 胃A is decreased, does part of the light refract into material 3 ? Light from ray B refracts from material 1into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle胃B ? (d) If胃B is decreased, does part of the light refract into material 3 ?
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