Physics Chapter: Focal Length and Magnification
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Questions and Answers

What is the relationship between the focal length (f) and the radius of curvature (R) of a spherical mirror?

  • $f = R$
  • $f = rac{R}{2}$ (correct)
  • $f = R^2$
  • $f = 2R$

If the height of an object is 5 cm and the height of the image is 15 cm, what is the linear magnification (m)?

  • 1.5
  • 3 (correct)
  • 0.33
  • 2

Which of the following equations correctly describes linear magnification?

  • $m = rac{ ext{length of image}}{ ext{length of object}}$
  • $m = rac{ ext{height of object}}{ ext{height of image}}$
  • $m = rac{ ext{height of image}}{ ext{height of object}}$ (correct)
  • $m = rac{ ext{base of image}}{ ext{base of object}}$

If the radius of curvature (R) of a spherical mirror is 40 cm, what is the focal length (f)?

<p>20 cm (A)</p> Signup and view all the answers

What would be the linear magnification if the height of the object is 10 cm and the height of the image is 10 cm?

<p>1 (C)</p> Signup and view all the answers

Flashcards

Focal Length of a Spherical Mirror

The distance between the pole of the mirror and the focal point, where parallel rays of light converge after reflection.

Radius of Curvature

The distance between the pole of the mirror and the center of curvature, which is the center of the sphere from which the mirror is a part.

Relationship between Focal Length and Radius of Curvature

The focal length of a spherical mirror is always half the radius of curvature.

Linear Magnification

The ratio of the size (height) of the image formed by a mirror to the size (height) of the object.

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Positive Magnification

Indicates an upright, virtual image.

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Study Notes

Focal Length and Radius of Curvature

  • Focal length (f) is the distance between the pole and the principal focus of a spherical mirror.
  • Radius of curvature (R) is twice the focal length.
  • The relationship between focal length and radius of curvature for a spherical mirror is: f = R/2

Linear Magnification

  • Linear magnification (m) is the ratio of the height of the image (hi) to the height of the object (ho).
  • m = hi / ho

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Description

This quiz covers the concepts of focal length and radius of curvature as they relate to spherical mirrors. Additionally, it delves into linear magnification, providing formulas and relationships essential for understanding these optical properties. Test your knowledge on these fundamental physics topics!

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