/*! 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 9 A mirror has focal length \(f=+1... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 9

A mirror has focal length \(f=+10 \mathrm{~cm}\). Is it convex or concave?

Short Answer

Expert verified
The mirror is concave.

Step by step solution

01

Understanding Focal Length

The focal length (\( f \)) of a mirror indicates whether the mirror is converging or diverging. For mirrors, a positive focal length signifies a concave mirror, while a negative focal length signifies a convex mirror.
02

Determine the Type of Mirror

Since the given focal length is \( f = +10 \, \mathrm{cm} \), and it is positive, this indicates that the mirror is concave.

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.

Focal Length
The focal length is a fundamental concept in optics, particularly when dealing with mirrors and lenses. It represents the distance from the mirror's surface to its focal point, where light rays converge or appear to diverge.
  • A positive focal length indicates that the light rays are converging to a point in front of the mirror, which is typical of concave mirrors.
  • A negative focal length suggests that the light rays are diverging and appear to originate from a point behind the mirror, as seen in convex mirrors.
The focal length is crucial for understanding how light interacts with different surfaces and subsequently how images are formed. Knowing whether the focal length is positive or negative can immediately inform us about the type of mirror we are dealing with.
Mirror Types
Mirrors come in various types, each with distinct characteristics and applications. The primary types are concave and convex mirrors.
  • Concave mirrors have a reflecting surface that curves inward, resembling a portion of the interior of a sphere. They are known for their ability to focus light and are commonly used in applications like telescopes, headlights, and shaving mirrors. When parallel light rays strike a concave mirror, they converge at a focal point in front of the mirror.
  • Convex mirrors, on the other hand, have a reflecting surface that bulges outward. These mirrors cause light rays to diverge, and the focal point appears to be located behind the mirror. Convex mirrors are used for practical purposes such as vehicle side mirrors and security mirrors, as they offer a wider field of view despite the images appearing smaller.
By understanding the characteristics of each mirror type, we can better predict how they manipulate light and the properties of the images they produce.
Optics Concepts
Optics is the branch of physics that studies light and its interactions with different materials and surfaces. It encompasses several concepts crucial for mastering mirror applications.
  • Reflection: This occurs when light bounces off a surface. The angle at which the light hits the surface, known as the angle of incidence, is equal to the angle at which it reflects, known as the angle of reflection.
  • Convergence and Divergence: These describe how light rays behave after interacting with a surface. Converging rays come together at a point, while diverging rays spread apart.
  • Image Formation: Depending on the mirror type and the object's position relative to the focal point, the image can be real or virtual, inverted or upright, and magnified or reduced in size.
Understanding these foundational optics concepts is essential for interpreting how various mirrors and lenses affect light. This knowledge is invaluable in both theoretical studies and practical applications of optical systems.

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 \(20 \mathrm{~cm}\) from a convex mirror. Its image is formed \(12 \mathrm{~cm}\) from the mirror. Find the focal length of the mirror.

An object is placed at a distance of \(12 \mathrm{~cm}\) from a concave mirror. The image formed is real and four times larger than the object. Calculate the distance of the image from the mirror. (2006)

The image of an object placed \(16 \mathrm{~cm}\) from a concave nirror is formed at a distance of \(24 \mathrm{~cm}\) from the mirror. Calculate the possible focal lengths of the concave mirror from this information.

If an incident ray passes through the centre of curvature of a spherical mirror, the reflected ray will (a) pass through the pole (b) pass through the focus (c) retrace its path (d) be parallel to the principal axis

An object is placed at a distance of \(12 \mathrm{~cm}\) from a concave mirror of radius of curvature \(16 \mathrm{~cm}\). Find the position of the image.
See all solutions

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Read Explanation

Waves Physics

Read Explanation

Engineering Physics

Read Explanation

Physical Quantities And Units

Read Explanation

Dynamics

Read Explanation

Classical Mechanics

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.