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Understanding Concave Mirrors and the Law of Reflection

Learn about the principles of concave mirrors, including the law of reflection and how to determine the location and characteristics of images formed by concave mirrors. Explore the concepts of converging and diverging mirrors, focal points, and the significance of the radius of curvature. Practice drawing images formed by concave mirrors and understand the characteristics of real, virtual, upright, and inverted images. Enhance your understanding of physics with this concise review.

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Understanding Concave Mirrors and the Law of Reflection

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  1. Physics Review Concave Mirrors

  2. Plane Mirrors The law of reflection, therefore, simply states that when a ray of light is reflected from a surface, it is reflected in such a direction that the incident angle equals the reflected angle. Using the law of reflection, we can determine the location of images formed by plane mirrors. x x o o

  3. Curved Mirrors Converging mirror Diverging mirror Converges light Diverges light Brings it together Spreads it out

  4. Concavemirrors Center of curvature Focal point f (vertex) Focal length V Principal axis C F mirror Radius of curvature of Back NOTE The focal length (f) is half the radius of curvature. Concave mirrors

  5. Principal axis C F Back of mirror In order to draw images formed by curved mirrors, remember that: A ray parallel to the principal axis is reflected through the focal point (F). MEMORIZE THIS! V Click

  6. Principal axis C F Back of mirror In order to draw images formed by curved mirrors, remember that: A ray that goes through the focal point (F) is reflected parallel to the principal axis. MEMORIZE THIS! V Click

  7. Principal axis C F Back of mirror In order to draw images formed by curved mirrors, remember that: A ray that strikes the vertex (V) is reflected like a plane mirror. (Angle of incidence = Angle of reflection) MEMORIZE THIS! Incident ray Incident ray V Reflected ray Reflected ray Click

  8. Principal axis C F Back of mirror In order to draw images formed by curved mirrors, remember that: A ray that goes through C (the center of curvature) is reflected back along its own path. MEMORIZE THIS! V Click

  9. Object at infinity (very far away) All rays arrive parallel to the principal axis Principal axis C F mirror All rays reflectthrough F of Back No Image formed Concave mirrors

  10. Object beyond C Object Real Principal axis C F mirror of Back is positive is positive is negative is positive is positive Image h d d d h d d M is negative and  1 i i o o o o i Concave mirrors

  11. Object beyond C Object Real Principal axis C F mirror of Back is negative is positive is positive is positive is positive is positive Image h d d d h h M is negative and  1 o o i o o i Concave mirrors

  12. Object beyond C Object Real Principal axis C F mirror of Back is positive is positive is negative is positive Image h d d h M is negative and  1 o i o i Concave mirrors

  13. Object beyond C Object Principal axis C F Real mirror of Back is positive is positive is negative is positive Image h d d h M is negative and  1 o i o i Concave mirrors

  14. Object at center of curvature Object Principal axis C F Real mirror of Back is positive is negative is positive is positive Image h d d h M is negative and = 1 o i o i Concave mirrors

  15. Object between C and F Object Principal axis C F mirror Real of Back is positive is negative is positive is positive Image d d h h o i o i M is negative and  1 Concave mirrors

  16. Object at focal point Principal axis C F mirror of Back is positive is positive Parallel No Image formed d h o o Concave mirrors

  17. Object within focal length Principal axis C F mirror is positive is positive of Back Diverging d h o o Concave mirrors

  18. Object within focal length Virtual Principal axis C F mirror is positive is positive is positive is negative of Back Diverging Image M is positive and  1 d h h h d d o i o i i i Concave mirrors

  19. PRACTICE

  20. A) B) C) D) Concave Mirrors Slide: The diagram below represents an object placed in front of aconcave mirror whose centre of curvature is at point C. Draw the focal point F Which of the following best represents the image formed bythe mirror? Click

  21. Draw F which is midwaybetween C and mirror. Concave Mirrors Slide: An object is placed at point P in front of a concave mirror. Image F Which of the following are the characteristics of the image. A) Real and upright B) Real and inverted C) Virtual and upright D) Virtual and inverted E) No image is formed Click

  22. Concave Mirrors Slide: Image Click

  23. Concave Mirrors Slide: Click

  24. Slide: Concave Mirrors Normal Click

  25. Not always! Concave Mirrors Slide: Look! A real image formed in front of a curved mirror is always: A) Smaller than the object B) Larger than the object C) Upright D) Inverted Image Click

  26. Concave Mirrors Slide: Image Click

  27. The End … and good luck!

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