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Chapter 34: Q4P (page 1038)

Figure 34-33 shows an overhead view of a corridor with a plane mirror Mmounted at one end. A burglar Bsneaks along the corridor directly toward the center of the mirror. Ifd=3m, how far from the mirror will she from the mirror when the security guardScan first see her in the mirror?

Short Answer

Expert verified

The distance of the burglar from the mirror when the security guard Scan first see her in the mirror is 1.5m.

Step by step solution

01

Identification of the given data

The given data is listed as follows,

The value ofd is 3m.

02

Description of the law of reflection

The law states that when light falls upon a plane surface it is so reflected that the angle of reflection is the same as that of the angle of incidence and that the incident ray, reflected ray, and normal ray all lie in the plane of incidence.

03

Determination of the distance of the burglar from the mirror when the security guard  can first see her in the mirror.

When the security guard is barely able to see B, the light rays fromB must reflect to Soff the edge of the mirror.

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Most popular questions from this chapter

50 through 57 55, 57 53 Thin lenses. Object Ostands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-6 gives object distance p (centimeters), the type of lens (C stands for converging and D for diverging), and then the distance (centimeters, without proper sign) between a focal point and the lens. Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real (R) or virtual (V) , (d) inverted (I) from object or non-inverted (NI) , and (e) on the same side of the lens as object Oor on the opposite side.

32 through 38 37, 38 33, 35 Spherical refracting surfaces. An object Ostands on the central axis of a sphericalrefractingsurface. For this situation, each problem in Table 34-5 refers to the index of refractionn1where the object is located, (a) the index of refraction n2on the other side of the refracting surface, (b) the object distance p, (c) the radius of curvature rof the surface, and (d) the image distance i. (All distances are in centimeters.) Fill in the missing information, including whether the image is (e) real (R)or virtual (V)and (f) on the same side of the surface as object Oor on the opposite side

69 through 79 76, 78 75, 77 More lenses. Objectstands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-8 refers to (a) the lens type, converging or diverging , (b) the focal distance , (c) the object distance p, (d) the image distance , and (e) the lateral magnification . (All distances are in centimetres.) It also refers to whether (f) the image is real or virtual , (g) inverted or non-inverted from , and (h) on the same side of the lens asor on the opposite side. Fill in the missing information, including the value of m when only an inequality is given, where only a sign is missing, answer with the sign.

Figure 34-47a shows the basic structure of the human eye. Light refracts into the eye through the cornea and is then further redirected by a lens whose shape (and thus ability to focus the light) is controlled by muscles. We can treat the cornea and eye lens as a single effective thin lens (Fig. 34-47b). A “normal” eye can focus parallel light rays from a distant object O to a point on the retina at the back of the eye, where the processing of the visual information begins. As an object is brought close to the eye, however, the muscles must change the shape of the lens so that rays form an inverted real image on the retina (Fig. 34-47c). (a) Suppose that for the parallel rays of Figs. 34-47a and b, the focal length f’of the effective thin lens of the eye is 2.50 cm. For an object at distance p = 40 cm, what focal length f’ of the effective lens is required for the object to be seen clearly? (b) Must the eye muscles increase or decrease the radii of curvature of the eye lens to give focal length f’?

17 through 29 22 23, 29 More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation, each problem in Table 34-4 refers to (a) the type of mirror, (b) the focal distance f, (c) the radius of curvature r, (d) the object distance p, (e) the imagedistance i, and (f) the lateral magnification m. (All distances are in centimeters.) It also refers to whether (g) the image is real (R)or virtual localid="1662996882725" (V), (h) inverted (I)or noninverted (NI)from O, and (i) on the same side of the mirror as object O or on the opposite side. Fill in the missing information. Where only a sign is missing, answer with the sign.
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