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Chapter 34: Q. 40 (page 991)

An object is 30cmin front of a convex mirror with a focal length of -20cm. Use ray tracing to locate the image. Is the image upright or inverted?

Short Answer

Expert verified

The picture is 12cmbehind the mirror, upright, and at a distance of 12cm.

Step by step solution

01

Step: 1 Principles:

Ray 1is reflected away from the focus point and is drawn parallel to the optical axis.

Ray 2is attracted to the rear side of the mirror's focus point and reflected parallel to the optical axis.

Ray 3passes through the mirror's centre and reflects at an angle of similar magnitude on the opposite side of the optical axis.

02

Step: 2 Datas:

The mirror is convex mirror.

The distance object to mirror is s=30cm.

Focal length is f=-20cm.

03

Step: 3 Tracing:

The ray-tracing diagram is shown in Figure. A scale is placed on the optical axis. The focal point of the mirror is drawn and noted. With its base on the optical axis, the item is represented as an arrow. The three specific rays specified in the Concepts and Principles section are drawn from the tip of the arrow. The image's tip is the spot where the three rays converge.

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Most popular questions from this chapter

In recent years, physicists have learned to create metamaterials鈥� engineered materials not found in nature鈥攚ith negative indices of refraction. It鈥檚 not yet possible to form a lens from a material with a negative index of refraction, but researchers are optimistic. Suppose you had a planoconvex lens (flat on one side, a 15 cm radius of curvature on the other) that is made from a metamaterial with n = -1.25. If you place an object 12 cm from this lens,

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