/*! 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 18 The umpire at a baseball game we... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The umpire at a baseball game wears glasses that make his eyes look smaller than they actually are. Is the umpire nearsighted or farsighted? Explain.

Short Answer

Expert verified
The umpire is nearsighted, as his glasses have concave lenses that make his eyes look smaller.

Step by step solution

01

Understanding the Lens Effect

First, we need to know that glasses for nearsighted people (those who have difficulty seeing objects far away) have concave lenses. These lenses are thinner at the center and thicker at the edges, which make objects look smaller. On the other hand, glasses for farsighted people have convex lenses, which make objects look larger.
02

Observing the Umpire's Glasses Effect

Since the umpire's glasses make his eyes appear smaller, it indicates that the lenses are concave. Concave lenses are typically used to correct nearsightedness, as they help in diverging light rays so that they can be correctly focused onto the retina.
03

Concluding the Vision Type

Based on the effect of the glasses observed, since they make the umpire's eyes appear smaller, we can conclude that the umpire is nearsighted. The concave lenses are used to correct his vision so he can see distant objects more clearly.

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 91Ó°ÊÓ!

Key Concepts

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

Concave Lenses
Concave lenses are a special type of lens that is thinner in the middle and thicker at the edges. They are known for their unique ability to spread out light rays that pass through them, a process referred to as diverging light rays. This characteristic makes distant objects appear clearer to those who struggle with seeing far away—a common issue called nearsightedness.

The way concave lenses work is fascinating. When light enters the lens, it bends outward rather than converging towards a focal point. This divergence helps focus the image correctly onto the retina at the back of the eye. Without such lenses, the image would focus in front of the retina, a problem for those who are nearsighted.

For a practical understanding, imagine a flashlight beam. When passing through a concave lens, the beam spreads out more, helping someone with nearsightedness to see distant things in focus. This diffusion is what makes objects, such as the umpire's eyes, appear smaller when viewed through his glasses.
Vision Correction
Vision correction is necessary when the eye cannot focus images properly on the retina. This might be due to the shape of the eye, lens, or cornea. Two common vision issues are nearsightedness and farsightedness.

Nearsightedness, or myopia, occurs when the eyeball is too long or the cornea has too much curvature, causing light to focus in front of the retina. This makes faraway objects appear blurry. Concave lenses come to the rescue by diverting light outward, helping focus it correctly onto the retina. For the umpire, wearing concave lenses means he can clearly see the game action from a distance.

In contrast, farsightedness, or hyperopia, is corrected using convex lenses that converge light to a point. These lenses are thicker in the middle and thinner at the edges, helping the light to focus behind the retina. While concave lenses aid nearsighted individuals, convex lenses make objects appear larger to help farsighted people focus better.
Optical Physics
Optical physics is the branch of science that explores the behavior and properties of light. This field reveals how lenses alter the path of light to resolve visual impairments. At its core, optical physics helps us understand how vision correction works and the science behind lenses.

Light behaves differently when it encounters various surfaces and media. When entering a lens, light bends—a principle known as refraction. The amount and direction of refraction depend on the shape of the lens. A concave lens will cause light rays to spread apart, altering the focal point to aid someone who is nearsighted.

In anatomical optics, understanding the mechanics of how lenses bend light provides insight into vision correction. It shows why certain lenses—concave for nearsighted and convex for farsighted—are used to adjust the focal point of light entering the eye. Optical physics not only aids in the practical design of lenses but also enriches our understanding of everyday phenomena, such as how an umpire sees the baseball field so clearly with his concave lenses.

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

Because a concave lens cannot form a real image of a real object, it is difficult to measure its focal length precisely. One method uses a second, convex, lens to produce a virtual object for the concave lens. Under the proper conditions, the concave lens will form a real image of the virtual object! \(A\) student conducting a laboratory project on concave lenses makes the following observations: When a lamp is placed \(42.0 \mathrm{cm}\) to the left of a particular convex lens, a real (inverted) image is formed \(37.5 \mathrm{cm}\) to the right of the lens. The lamp and convex lens are kept in place while a concave lens is mounted \(15.0 \mathrm{cm}\) to the right of the convex lens. A real image of the lamp is now formed \(35.0 \mathrm{cm}\) to the right of the concave lens. What is the focal length of each lens?

An optical system consists of two lenses, one with a focal length of \(50 \mathrm{cm}\) and the other with a focal length of \(2.5 \mathrm{cm}\). If the separation between the lenses is \(52.5 \mathrm{cm},\) is the instrument a microscope or a telescope? Explain.

without his glasses, Isaac can see objects clearly only if they are less than \(4.5 \mathrm{m}\) from his eyes. What focal length glasses worn \(2.1 \mathrm{cm}\) from his eyes will allow lsaac to see distant objects clearly?

Approximating the eye as a single thin lens \(2.60 \mathrm{cm}\) from the retina, find the eye's near-point distance if the smallest focal length the eye can produce is \(2.20 \mathrm{cm}\).

Landing on an Aircraft Carrier The Long-Range Lineup System (LRLS) used to ensure safe landings on aircraft carriers consists of a series of Fresnel lenses of different colors. Each lens focuses light in a different, specific direction, and hence which light a pilot sees on approach determines whether the plane is above, below, or on the proper landing path. The basic idea behind a Fresnel lens, which has the same optical properties as an ordinary lens, is shown in Figure \(27-24\), along with a photo of the LRIS. Suppose an object (a lightbulb in this case) is \(17.1 \mathrm{cm}\) behind a Fresnel lens, and that the corresponding image is a distance \(d_{i}=d\) in front of the lens. If the object is moved to a distance of \(12.0 \mathrm{cm}\) behind the lens, the image distance doubles to \(d_{1}=2 d\). In the L.RLS, it is desired to have the image of the lightbulb at infinity. What object distance will give this result for this particular lens?

See all solutions

Recommended explanations on Physics Textbooks

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.