Textbook Question
Find the focal length of the glass lens in FIGURE EX34.28.
Ch 34: Ray Optics
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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Table of contents
- Ch 01: Concepts of Motion35
- Ch 02: Kinematics in One Dimension75
- Ch 03: Vectors and Coordinate Systems58
- Ch 04: Kinematics in Two Dimensions60
- Ch 05: Force and Motion23
- Ch 06: Dynamics I: Motion Along a Line53
- Ch 07: Newton's Third Law27
- Ch 08: Dynamics II: Motion in a Plane52
- Ch 09: Work and Kinetic Energy56
- Ch 10: Interactions and Potential Energy50
- Ch 11: Impulse and Momentum56
- Ch 12: Rotation of a Rigid Body71
- Ch 13: Newton's Theory of Gravity52
- Ch 14: Fluids and Elasticity44
- Ch 15: Oscillations55
- Ch 16: Traveling Waves37
- Ch 17: Superposition39
- Ch 18: A Macroscopic Description of Matter53
- Ch 19: Work, Heat, and the First Law of Thermodynamics60
- Ch 20: The Micro/Macro Connection53
- Ch 21: Heat Engines and Refrigerators34
- Ch 22: Electric Charges and Forces40
- Ch 23: The Electric Field39
- Ch 24: Gauss' Law32
- Ch 25: The Electric Potential63
- Ch 26: Potential and Field57
- Ch 27: Current and Resistance42
- Ch 28: Fundamentals of Circuits39
- Ch 29: The Magnetic Field47
- Ch 30: Electromagnetic Induction60
- Ch 31: Electromagnetic Fields and Waves32
- Ch 32: AC Circuits63
- Ch 33: Wave Optics32
- Ch 34: Ray Optics57
- Ch 35: Optical Instruments30
- Ch 36: Special Relativity38
- Ch 37: The Foundations of Modern Physics25
- Ch 38: Quantization49
- Ch 39: Wave Functions and Uncertainty31
- Ch 40: One-Dimensional Quantum Mechanics35
- Ch 41: Atomic Physics18
- Ch 42: Nuclear Physics27
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Not the one you use?Change textbook
Chapter 34, Problem 22
An object is 20 cm in front of a converging lens with a focal length of 10 cm. Use ray tracing to determine the location of the image. Is the upright or inverted?
Verified step by step guidance1
Start by understanding the problem: A converging lens has a focal length of 10 cm, and the object is placed 20 cm in front of the lens. We need to determine the image location and its orientation using ray tracing.
Draw a diagram of the lens system. Place the lens at the center, mark its focal points (10 cm on both sides of the lens), and position the object 20 cm to the left of the lens.
Trace the first ray: Draw a ray from the top of the object parallel to the principal axis. After passing through the lens, this ray will refract and pass through the focal point on the opposite side of the lens.
Trace the second ray: Draw a ray from the top of the object passing through the center of the lens. This ray will continue in a straight line without bending.
Find the intersection of the two rays on the other side of the lens. The point where the rays meet is the location of the image. Since the rays converge below the principal axis, the image is inverted.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Converging Lens
A converging lens, or convex lens, is thicker at the center than at the edges and bends light rays inward. It has a focal point where parallel rays of light converge after passing through the lens. The distance from the lens to this focal point is known as the focal length, which is crucial for determining image formation.
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Thin Lens Equation
Ray Tracing
Ray tracing is a graphical method used to determine the path of light rays as they pass through optical devices like lenses. By drawing at least two principal rays from the object through the lens, one can locate the image's position, size, and orientation. This technique helps visualize how the lens affects light and forms images.
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06:12Ray Diagrams for Diverging Lenses
Image Characteristics
The characteristics of an image formed by a lens include its location, size, orientation, and nature (real or virtual). An image is considered upright if it maintains the same orientation as the object and inverted if it is flipped. The position of the image relative to the lens is determined by the object's distance and the lens's focal length.
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09:03Mirror Equation
Related Practice
Textbook Question
Find the focal length of the plano-concave polystyrene plastic lens in FIGURE EX34.25.
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