/*! 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 25 An object is placed to the left ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 26: Problem 25

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?

Short Answer

Expert verified
The image moves towards the mirror when the object is moved farther left.

Step by step solution

01

Understand Convex Mirrors

A convex mirror, or a diverging mirror, causes light rays to spread out. The image formed by a convex mirror is always virtual, upright, and smaller than the object. However, due to the divergence, the image appears to be located behind the mirror.
02

Analyze Image Formation

In convex mirrors, the position of the image is closer to the mirror than where it would converge in reality. When the object is moved farther from the mirror, the light rays appear to diverge from a point that moves closer to the vertex of the mirror's reflective surface.
03

Infer the Direction of Image Movement

As the object moves further to the left (away from the mirror), the rays diverge less from the mirror鈥檚 surface, bringing the virtual image location closer to the mirror itself. Therefore, the image appears to move towards the mirror as the object moves away.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Image Formation
Image formation in mirrors, particularly in convex mirrors, involves the interplay of light reflection. When an object is placed in front of a convex mirror, light rays emanating from the object hit the mirror and reflect. Due to the outwardly curved shape of the convex mirror, these light rays diverge instead of converging as they would in a concave mirror.

Key characteristics of image formation in a convex mirror include:
  • The image is always virtual and cannot be projected on a screen.
  • The image appears upright, maintaining the orientation of the object.
  • The size of the image is reduced compared to the actual object, making it smaller.
  • The image seems to be situated behind the mirror, contrary to the physical space where the object is placed.
These properties help drivers and security personnel who use convex mirrors to gain a broader view of the environment, albeit at a reduced image size.
Virtual Image
A virtual image is an optical illusion created by the paths that light rays appear to take. Within the context of a convex mirror, the virtual image lies on the opposite side of the reflective surface due to the reflection process.

It's essential to understand:
  • Virtual images result from the apparent intersection of diverging light rays when traced backward.
  • They are always upright, inverting only if the original object is inverted.
  • Unlike real images, they cannot be caught on a screen but can be seen by an observer looking into the mirror.
Convex mirrors, like those used for vehicle side mirrors, use these virtual images as they allow the driver to see a wide area efficiently, aiding in navigation and safety.
Reflection
Reflection in a convex mirror is a fascinating process that alters our perception of size and distance. In convex mirrors, the light rays strike the reflective surface and bounce off in various directions instead of focusing inwards.

Some interesting aspects of reflection in convex mirrors include:
  • The angle of incidence equals the angle of reflection, following the law of reflection.
  • Reflected rays diverge, making them appear as if they are originating from a point behind the mirror.
  • This divergent nature results in a field of view that is much wider, helping in scenarios such as traffic and store monitoring.
Convex mirrors can be a key feature in enhancing visibility over larger expanses while maintaining a clear, albeit smaller, view of the surroundings.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

An object is placed in front of a convex mirror whose radius of curvature is \(R\). What is the greatest distance behind the mirror that the image can be formed?

A glass slab surrounded by air causes a sideways displacement in a beam of light. (a) If the slab is now placed in water, does the displacement it causes increase, decrease, or stay the same? (b) Choose the best explanation from among the following: I. The displacement of the beam increases because of the increased refraction due to the water. II. The displacement of the beam is decreased because with water surrounding the slab there is a smaller difference in index of refraction between the slab and its surroundings. III. The displacement stays the same because it is determined only by the properties of the slab; in particular, the material it is made of and its thickness.

A small vertical mirror hangs on the wall, \(1.40 \mathrm{m}\) above the floor. Sunlight strikes the mirror, and the reflected beam forms a spot on the floor \(2.50 \mathrm{m}\) from the wall. Later in the day, you notice that the spot has moved to a point \(3.75 \mathrm{m}\) from the wall. (a) Were your two observations made in the morning or in the afternoon? Explain. (b) What was the change in the Sun's angle of elevation between your two observations?

The 200-inch-diameter concave mirror of the Hale telescope on Mount Palomar has a focal length of \(16.9 \mathrm{m}\). An astronomer stands \(20.0 \mathrm{m}\) in front of this mirror. (a) Where is her image located? Is it in front of or behind the mirror? (b) Is her image real or virtual? How do you know? (c) What is the magnification of her image?

A person \(1.7 \mathrm{m}\) tall stands \(0.66 \mathrm{m}\) from a reflecting globe in a garden. (a) If the diameter of the globe is \(18 \mathrm{cm},\) where is the image of the person, relative to the surface of the globe? (b) How large is the person's image?
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Famous Physicists

Read Explanation

Particle Model of Matter

Read Explanation

Geometrical and Physical Optics

Read Explanation

Linear Momentum

Read Explanation

Mechanics and Materials

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.