Table of contents

0. Math Review31m
- Math Review
  31m
1. Intro to Physics Units1h 29m
2. 1D Motion / Kinematics3h 56m
3. Vectors2h 43m
4. 2D Kinematics1h 42m
5. Projectile Motion3h 6m
6. Intro to Forces (Dynamics)3h 22m
7. Friction, Inclines, Systems2h 44m
8. Centripetal Forces & Gravitation7h 26m
9. Work & Energy1h 59m
10. Conservation of Energy2h 54m
11. Momentum & Impulse3h 40m
12. Rotational Kinematics2h 59m
13. Rotational Inertia & Energy7h 4m
14. Torque & Rotational Dynamics2h 5m
15. Rotational Equilibrium3h 39m
16. Angular Momentum3h 6m
17. Periodic Motion2h 9m
18. Waves & Sound3h 40m
19. Fluid Mechanics4h 27m
20. Heat and Temperature3h 7m
21. Kinetic Theory of Ideal Gases1h 50m
22. The First Law of Thermodynamics1h 26m
23. The Second Law of Thermodynamics3h 11m
24. Electric Force & Field; Gauss' Law3h 42m
25. Electric Potential1h 51m
26. Capacitors & Dielectrics2h 2m
27. Resistors & DC Circuits3h 8m
28. Magnetic Fields and Forces2h 23m
29. Sources of Magnetic Field2h 30m
30. Induction and Inductance3h 38m
31. Alternating Current2h 37m
32. Electromagnetic Waves2h 14m
33. Geometric Optics2h 57m
34. Wave Optics1h 15m
35. Special Relativity2h 10m

33. Geometric Optics

Ray Diagrams For Lenses

Physics

33. Geometric Optics

Ray Diagrams For Lenses

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Multiple Choice

If an object is placed within the focus of a converging lens (it's at a distance of less than the focal length), will a real image form? If so, does it form at a distance less than or greater than the focal length?

The image is virtual. Distance is greater than f.

The image is real. Distance is greater than f.

The image is virtual. Distance is less than f.

The image is real. Distance is less than f.

No image is formed

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Verified step by step guidance

Understand the properties of a converging lens: A converging lens, also known as a convex lens, bends light rays inward. It can form real or virtual images depending on the position of the object relative to the lens's focal point.

Recall the lens formula: The lens formula is given by \( \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \), where \( f \) is the focal length, \( d_o \) is the object distance, and \( d_i \) is the image distance. This formula helps determine the nature and position of the image formed by the lens.

Analyze the scenario: When an object is placed within the focal length of a converging lens (i.e., \( d_o < f \)), the light rays diverge after passing through the lens. To an observer, these rays appear to be coming from a point on the same side of the lens as the object.

Determine the type of image: Since the light rays do not actually converge on the opposite side of the lens, a real image is not formed. Instead, the rays appear to diverge from a point on the same side as the object, forming a virtual image.

Conclude the image characteristics: The virtual image formed is upright and larger than the object. It appears to be located on the same side of the lens as the object, at a distance greater than the focal length.