Curved Mirrors: Concave and Convex

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Questions and Answers

Which of the following best describes the orientation of the center of a convex mirror?

  • It bulges away from the viewer.
  • It bulges toward the viewer. (correct)
  • It is located on the inner surface of the sphere.
  • It lies on the reflective surface of the mirror.

The principal axis of a mirror intersects the mirror's surface at a 45-degree angle.

False (B)

What is the term for the point where light rays parallel to the principal axis converge after reflecting off a concave mirror?

focus

A concave mirror is also known as a ______ mirror because of its ability to bring parallel light rays together.

<p>converging</p> Signup and view all the answers

Match each type of image with its corresponding description:

<p>Real Image = Light rays converge at the image location and can be projected on a screen. Virtual Image = Light rays appear to diverge from the image location and cannot be projected on a screen.</p> Signup and view all the answers

What principle explains why a light ray directed through the center of curvature of a concave mirror reflects back upon itself?

<p>The law of reflection where the angle of incidence equals the angle of reflection. (B)</p> Signup and view all the answers

If an object is placed at the focus of a concave mirror, a clear and magnified real image will be formed.

<p>False (B)</p> Signup and view all the answers

What type of mirror is used in car headlights and searchlights to produce a parallel beam of light?

<p>concave mirror</p> Signup and view all the answers

The Hubble Space Telescope initially produced fuzzy images due to a grinding error in its ______ mirror.

<p>concave</p> Signup and view all the answers

Match the object location with the image characteristics formed by a converging (concave) mirror:

<p>Object beyond C = Smaller, inverted, and real image between C and F Object at C = Same size, inverted, and real image at C Object between C and F = Larger, inverted, and real image beyond C</p> Signup and view all the answers

Which of the following is a characteristic of the image formed by a convex mirror?

<p>Always virtual and upright (A)</p> Signup and view all the answers

A diverging mirror converges rays of light.

<p>False (B)</p> Signup and view all the answers

Why are convex mirrors often used as security mirrors in stores?

<p>They provide a wider range of view.</p> Signup and view all the answers

In a convex mirror, the virtual focus is located ______ the mirror.

<p>behind</p> Signup and view all the answers

Match each type of mirror with its appropriate application:

<p>Concave Mirror = Magnifying makeup mirror Convex Mirror = Side-view mirror in vehicles</p> Signup and view all the answers

Why does spherical aberration occur in spherical mirrors?

<p>Because parallel rays reflecting off the edges of the mirror converge at a different point than rays reflecting near the center. (D)</p> Signup and view all the answers

Parabolic mirrors are designed to eliminate spherical aberration.

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

What advantage do parabolic mirrors offer over spherical mirrors in applications like solar collectors?

<p>more intense sunlight at focus</p> Signup and view all the answers

In a searchlight, if the light source is placed slightly inside the focus of a concave mirror, the reflected rays will ______ slightly apart, illuminating a greater area.

<p>spread</p> Signup and view all the answers

Relate different applications to whether concave or convex mirrors are more suitable:

<p>Solar Cooker = Concave Security Mirror = Convex</p> Signup and view all the answers

Consider an object placed between the focal point and a concave mirror. Which statement about the resulting image is true?

<p>The image is virtual, upright, and larger than the object. (B)</p> Signup and view all the answers

An image located beyond 'C' for a concave mirror will be smaller than the object.

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

Explain the effect of reversibility of light in the context of concave mirrors.

<p>angle of incidence=angle of reflection</p> Signup and view all the answers

A virtual image formed by a concave mirror is always ______ and ______.

<p>upright; larger</p> Signup and view all the answers

Match the type of device with the way it uses mirrors:

<p>Telescope = Parallel Rays Focused to an Image Car Headlight = Light at Focus Reflected as Parallel Beam</p> Signup and view all the answers

What happens to the reflected rays when an object is placed exactly at the focus (F) of a concave mirror?

<p>They become parallel to the principal axis. (D)</p> Signup and view all the answers

The image formed by a concave mirror when the object is at 'C' will be at 'F'.

<p>False (B)</p> Signup and view all the answers

State the printing frequently found on car side-view mirrors with convex surfaces and explain its significance.

<p>Objects in mirror are closer than they appear.</p> Signup and view all the answers

For a concave mirror, if the object is beyond F, a ______, ______ real image will be formed.

<p>inverted; real</p> Signup and view all the answers

Match the term with its description:

<p>Vertex = the point where the principal axis meets the mirror Principal Axis = the line through the centre of curvature to the midpoint of the mirror</p> Signup and view all the answers

Flashcards

Concave (Converging) Mirror

A mirror with the inner surface of a sphere as the reflective surface.

Convex (Diverging) Mirror

A mirror with the outer surface of a sphere forming the reflective surface.

Center of Curvature (C)

The center of the sphere from which the mirror's surface is derived.

Principal Axis

The line that runs from the center of curvature to the midpoint of the mirror.

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Vertex (V)

The point where the principal axis intersects the mirror's surface.

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Focus (F)

The point where parallel light rays converge after reflecting off a concave mirror.

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Converge

To meet or come together at a single point.

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Real Image

Image formed by actual convergence of light rays, projectable on a screen.

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Diverging Mirror

Mirror in which the reflected rays spread apart.

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Diverge

To separate and move in different directions from a common point.

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Study Notes

Curved Mirrors

  • Curved mirrors are created by making part of a sphere's surface reflective
  • Concave mirrors reflect from the inner surface, bulging away from you
  • Convex mirrors reflect from the outer surface, bulging toward you

Terminology of Concave Mirrors

  • The centre of curvature (C) is the centre of the sphere whose surface forms the mirror
  • The principal axis runs through the centre of curvature to the middle of the mirror
  • The principal axis intersects the mirror at 90 degrees and is normal to the surface
  • The Vertex (V) is where the principal axis meets the mirror
  • The focus (F) is the point where light rays parallel to the principal axis converge after reflection
  • Concave mirrors are also called converging mirrors because they focus parallel rays at F

Locating Images in Concave Mirrors

  • You need at least two incident rays from the top of the object to determine the image
  • A light ray parallel to the principal axis is reflected through the focus
  • A light ray through the center of curvature is reflected back onto itself
  • A ray through F will reflect parallel to the principal axis
  • A ray aimed at the vertex will follow the law of reflection

Characteristics of Images at Variety of Object Locations

  • If the object is further than C
    • The image is smaller and inverted
    • The image is between C & F
    • The image is considered real
  • If the object is at C
    • The image is the same size and inverted
    • The image is considered real
  • If the object is between C & F
    • The image is larger and inverted
    • The image is outside C
    • The image is considered real
  • Mirrors were originally developed from a spherical surface
  • Using a parabolic surface corrects spherical aberration

Images in a Converging Mirror

  • You can locate an image by moving a paper screen back and forth in front of the mirror
  • A real image can be formed on a screen
  • If the object were beyond C, at C, or between C and F, the reflected rays meet in front of the mirror
    • This forms an inverted, real image each time
  • Car headlights, flashlights and searchlights use properties of concave mirrors
    • Searchlights have the light source at focus with reflected rays forming a parallel beam
    • Car headlights and flashlights have the filament slightly inside the focus

Image if object is at F

  • No real image is produced because the reflected rays are parallel
  • No image will form

Image if object is between F and the Mirror

  • No real image is produced because the reflected rays spread apart, or diverge
  • The human brain extrapolates the diverging rays backwards to where they appear to originate
    • This results in a larger and upright virtual image

Properties of a Converging Mirror

Location Size Attitude Location Type
beyond C smaller inverted between C and F real
at C same size inverted at C real
between C and F larger inverted beyond C real
at F no clear image
inside F larger upright behind mirror virtual

How to Locate Image in a Diverging Mirror

  • Parts of convex mirror and imaging rules are similar those for a concave mirror:
    • F (now called virtual focus) and C are behind the mirror
    • Light rays coming from an apparent light source behind the mirror

Images in a Diverging Mirror

  • Rays reflected off a convex mirror always diverge
  • Reflected rays from an object never cross in front of the mirror to form a real image
  • Brain extrapolates these rays behind the mirror to where they appear to converge
    • This results in a diverging mirror producing smaller upright virtual image
  • Commonly used as security mirrors and side-view mirrors

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