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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

Figure 34-30 shows four thin lenses, all of the same material, with sides that either are flat or have a radius of curvature of magnitude 10cm. Without written calculation, rank the lenses according to the magnitude of the focal length, greatest first.

(a) A luminous point is moving at speedV0toward a spherical mirror with a radius of curvaturer, along the central axis of the mirror. Show that the image of this point is moving at the speed

vI=-(r2p-r)2v0

Where,p is the distance of the luminous point from the mirror at any given time. Now assume the mirror is concave, withr=15cm.and letV0=5cm/s. FindV1when (b)p=30cm(far outside the focal point), (c) p=8.0cm(just outside the focal point), and (d)p=10mm(very near the mirror).

An object is 20cmto the left of a thin diverging lens that has a 30cmfocal length. (a) What is the image distance i? (b) Draw a ray diagram showing the image position.

80, 87 83 Two-lens systems. In Fig. 34-45, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p1. Lens 2 is mounted within the farther boxed region, at distanced. Each problem in Table 34-9 refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated).Find (a) the image distancei2for the image produced by lens 2 (the final image produced by the system) and (b) the overall lateral magnificationMfor the system, including signs. Also, determine whether the final image is (c) real(R)or virtual(V), (d) inverted(I)from object O or non-inverted(NI), and (e) on the same side of lens 2 as object O or on the opposite side.

In Fig. 34-26, stick figure O stands in front of a thin, symmetric lens that is mounted within the boxed region; the central axis through the lens is shown. The four stick figuresI1andI4suggest general locations and orientations for the images that might be produced by the lens. (The figures are only sketched in; neither their height nor their distance from the lens is drawn to scale.) (a) Which of the stick figures could not possibly represent images? Of the possible images, (b) which would be due to a converging lens, (c) which would be due to a diverging lens, (d) which would be virtual, and (e) which would involve negative magnification?

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