/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 21 You hold a shiny tablespoon at a... [FREE SOLUTION] | 91Ó°ÊÓ

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You hold a shiny tablespoon at arm's length and look at the back side of the spoon. (a) Is the image you see of yourself upright or inverted? (b) Is the image enlarged or reduced? (c) Is the image real or virtual?

Short Answer

Expert verified
(a) Upright; (b) Reduced; (c) Virtual.

Step by step solution

01

Understanding the Spoon's Shape

The back side of the spoon is convex. This means it is curved outward, similar to the outer surface of a sphere.
02

Analyze the Image Orientation

Convex mirrors, like the back side of the spoon, always produce images that are upright. Therefore, the image is upright.
03

Determine Image Size

For convex mirrors, images are always reduced compared to the object's actual size. Thus, the image is reduced.
04

Identify Type of Image (Real or Virtual)

Images formed by convex mirrors are always virtual. They cannot be projected on a screen, as they appear behind the mirror.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Image Orientation
When you look at the back side of a spoon, which is a convex surface, the image you see of yourself is always upright. This is a characteristic feature of all convex mirrors. Unlike plane mirrors, which also present an upright image but in the same dimensions, convex mirrors shrink the reflection. This preserves the orientation, so objects appear the same way up as you are without any flipping.

Convex mirrors accomplish this upright image due to the manner in which they reflect light. Light rays from the object, or in this case, your face, spread outwards after hitting the mirror. They reflect off the surface and diverge, creating a virtual image that stays upright. So, next time you check your look with the back of a spoon, remember it's working its magic to keep your reflection right-side-up!
Image Size
One of the most noticeable effects of looking at your reflection in a convex mirror, like the back side of a spoon, is that your image appears smaller than reality. This is because convex mirrors cause light rays to diverge, reducing the apparent size of the object reflected.

Such mirrors are useful when a wider field of view is needed, which is why you often see them used as side mirrors on vehicles. They permit you to see more of the surrounding area, albeit in a reduced size. Hence, when you peer into the spoon, notice how your reflection appears to be a shrunken version of yourself! This shrinking effect maintains the same proportions, compressing the image so it fits neatly into the curved surface.
Virtual Image
Convex mirrors produce virtual images, which means the image cannot be projected onto a screen. This happens because the reflected light rays do not actually come together at a point after reflecting; instead, they appear to diverge from a common point behind the mirror.

As you hold a spoon at arm's length, the image seems to be behind the mirror surface, forming what is known as a virtual image. Unlike real images, which can be captured on a screen as they involve convergence of light rays, virtual images exist only as optical illusions within the reflective surface.

This concept of virtual imaging is fundamental when using mirrored surfaces in daily items or technological devices, such as in security mirrors or in certain optical instruments. Understanding this concept enhances appreciation for how such simple objects like a spoon or a carefully crafted lens transform light to create visual experiences!

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Most popular questions from this chapter

An object is placed to the left of a convex mirror. In which direction will the image move when the object is moved farther to the left?

If a lens is immersed in water, its focal length changes, as discussed in Conceptual Checkpoint \(26-5\). (a) If a spherical mirror is immersed in water, does its focal length increase, decrease, or stay the same? (b) Choose the best explanation from among the following: I. The focal length will increase because the water will cause more bending of light. II. Water will refract the light. This, combined with the reflection due to the mirror, will result in a decreased focal length. III. The focal length stays the same because it depends on the fact that the angle of incidence is equal to the angle of reflection for a mirror. This is unaffected by the presence of the water.

(a) Use a ray diagram to determine the approximate location of the image produced by a concave lens when the object is at a distance \(\frac{1}{2}|f|\) from the lens. (b) Is the image upright or inverted? \((\mathrm{c})\) Is the image real or virtual? Explain.

A friend tells you that when she takes off her eyeglasses and holds them \(23 \mathrm{cm}\) above a printed page the image of the print is erect but enlarged to 1.5 times its actual size. (a) Is the image real or virtual? How do you know? (b) What is the focal length of your friend's glasses? (c) Are the lenses in the glasses concave or convex? Explain.

You view a nearby tree in a concave mirror. The inverted image of the tree is \(3.8 \mathrm{cm}\) high and is located \(7.0 \mathrm{cm}\) in front of the mirror. If the tree is \(23 \mathrm{m}\) from the mirror, what is its height?

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