Mirror Equations Lesson 4.

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Presentation transcript:

Mirror Equations Lesson 4

Objective Quantitatively determine the relationship between the focal length and distance an object and its image are from the mirror.

Mirror or Lens Equations Equations that are used to indicate the location of an image or to find the image distance, di.

Eg) Concave mirror object image Mirror Equation:

Magnification equation: compares the size of the object to the size of the image

Rules For Mirrors The object distance, do, is always positive If the image distance, di, is positive, then the image is real If the image distance, di, is negative, then the image is virtual

Rules for Mirrors Upright objects or images have positive values for ho and hi Inverted objects or images have negative values for ho and hi Converging (Concave) mirrors have positive focal lengths while Diverging mirrors have negative focal lengths

Example #1) An object 2. 50 cm high is 20 Example #1) An object 2.50 cm high is 20.0 cm from a concave mirror having a radius of curvature of 15.0 cm a. Sketch a ray diagram to show where the image is located object image

b. Determine the location of the image c. Determine

Convex Mirror A convex mirror reflects light from its outer surface and produces a virtual image Aka: Diverging mirror

Example #2 An object is placed 30 cm from a diverging mirror, whose focal length is 10 cm. Determine: the image distance. if the image is real or virtual. if the image is erect or inverted. the image magnification.

Diagram

Calculation

Calculation of magnification

Determination of image attitude

Eg) An object is placed 10.0 cm from a convex mirror that has a focal length of -15.0 cm. a. Sketch a ray diagram to show the location of the image. object -15.0 cm

c. Determine the magnification of the image b. Determine c. Determine the magnification of the image

Summary: Sign Convention: Distance (d) Height (h) real focal points or images + upright images + virtual focal points or images - inverted images -

Equations for a Curved Mirror