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Chapter 2: Problem 4

A convex lens (a) is thicker at the middle than at the edges (b) is thicker at the edges than at the middle (c) has uniform thickness everywhere (d) is called a diverging lens

Short Answer

Expert verified
The correct answer is (a): A convex lens is thicker at the middle than at the edges.

Step by step solution

01

Understanding the Problem

The problem asks to identify the characteristic of a convex lens from four given options. A lens is a piece of transparent substance bound by two surfaces; one or both of which may be curved. We need to know the physical structure of a convex lens.
02

Analyzing Option (a)

Option (a) states that a convex lens is thicker at the middle than at the edges. A convex lens typically bulges outward, having a thicker center and tapering off towards the edges. This matches our understanding of a convex lens structure.
03

Analyzing Option (b)

Option (b) suggests a convex lens is thicker at the edges than at the middle. This is characteristic of a concave lens, not a convex lens, as concave lenses are thinner at the center.
04

Analyzing Option (c)

Option (c) claims that a convex lens has uniform thickness everywhere. This is incorrect for a convex lens since a distinguishing feature is the variation in thickness, being thicker in the middle.
05

Analyzing Option (d)

Option (d) claims that a convex lens is called a diverging lens. A convex lens is actually a converging lens because it directs parallel light rays to a focal point, while a diverging lens would do the opposite.
06

Confirming the Correct Answer

Based on the analysis, the characteristic of a convex lens is correctly described by option (a) 鈥� being thicker at the middle than at the edges.

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Key Concepts

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

Lens Structure
A lens is essentially a piece of transparent material, such as glass or plastic, with at least one curved surface. In the world of optics, the structure of a lens determines its behavior with light. There are two main types of lenses: convex and concave, distinguished by their contrasting structures.
  • Convex Lens: This type of lens is thicker at the center than at the edges. Such a shape causes light rays to converge to a focal point, hence they are often termed 'converging lenses.' The outward bulging shape is what sets them apart physically and functionally.
  • Concave Lens: Concave lenses are thinner at the center and thicker at the edges, giving them a curved-in appearance. These lenses cause light to diverge, spreading it outwards.
These distinct structures are crucial because the way a lens is shaped influences its ability to focus or disperse light rays.
Converging Lens
A converging lens, also known as a convex lens, gathers incoming parallel light rays and focuses them to a point known as the focal point. This is due to the curvature of the lens, which directs the light inward. Imagine sunlight passing through a magnifying glass onto a piece of paper. The spot of bright light on the paper shows how the lens converges the light. This effect makes convex lenses useful in various applications, such as:
  • Magnifying glasses
  • Cameras
  • Projectors
The principle of a converging lens is simple yet powerful. By adjusting the thickness and curvature, these lenses can focus light at varying distances, which is essential for creating clear images.
Optical Lenses
Optical lenses are integral components in a variety of devices where control over light is required. They work by bending, or refracting, light rays. The functionality of a lens is broadly determined by its shape and material, affecting how it refracts light. There are several factors influencing the behavior of optical lenses:
  • Lens Shape: Convex (bends light inward) and concave (bends light outward) are the fundamental shapes.
  • Material of Lens: Most lenses are made from glass or different plastics, each affecting clarity and durability.
  • Coatings: Many lenses have anti-reflective and other types of coatings to improve performance.
In optical instruments like telescopes or eyeglasses, lenses transform how we perceive the world. They magnify, minimize or focus pictures, making them invaluable to science, technology, and everyday life.

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Most popular questions from this chapter

The focal length of a convex lens is \(f\). How does the size of the image placed in front of it changes as the object is brought progressively closer to the focus from a distance which is just greater than \(2 f ?\)

The power of a lens used in the reading glasses of a person is \(+1.5 \mathrm{D}\). Is the lens concave or convex?

A \(3.5-\mathrm{cm}\)-high object is placed at a distance of \(12 \mathrm{~cm}\) from a concave lens of focal length \(16 \mathrm{~cm}\). Find the size of the image.

An extended object is placed perpendicular to the principal axis of a convex lens. Draw neat diagrams to show the image formation in the following cases. (a) The object is at a distance that is more than double the focal length of the lens. (b) The object is at a distance equal to double the focal length. (c) The object is at a distance that is more than its focal length but is less than double the focal length.

A lens has a power of \(+0.5 \mathrm{D}\). It is (a) a concave lens of focal length \(5 \mathrm{~m}\) (b) a convex lens of focal length \(5 \mathrm{~cm}\) (c) a convex lens of focal length \(2 \mathrm{~m}\) (d) a concave lens of focal length \(2 \mathrm{~m}\)
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