1. Mirror Ray Diagrams Worksheet For each case below draw a ray diagram. Draw the image as an arrow and give a description of the image. C F Description of Image: Location: O: Upright or Inverted S: Magnified or Reduced T: Real or Virtual 2. C F Description of Image: Location: O: Upright or Inverted S: Magnified or Reduced T: Real or Virtual © The Physics Classroom, 2009

Suppose a 200 mm focal length telephoto lens is being used to photograph mountains 10.0 km away. (a) Where is file image? (b) What is the height of the image of a 1000 m high cliff on one of the mountains?

Astronomers often take photographs with the objective lens or mirror of a telescope alone, without an eyepiece. (a) Show that the image size h for such a telescope is given by h = fh/(f p), where f is the objective focal length, h is the object size, and p is the object distance. (b) What If? Simplify the expression in part (a) for the case in which the object distance is much greater than objective focal length. (c) The wingspan of the International Space Station is 108.6 m, the overall width of its solar panel configuration. When the station is orbiting at an altitude of 407 km, find the width of the image formed by a telescope objective of focal length 4.00 m.

Two flat mirrors have their reflecting surfaces facing each other, with the edge of one mirror in contact with an edge of the other, so that the angle between the mirrors is . When an object is placed between the mirrors, a number of images are formed. In general, if the angle is such that n = 360, where n is an integer, the number of images formed is n 1. Graphically, find all the image positions for the case n = 6 when a point object is between the mirrors (but not on the angle bisector).

Using the law of reflection, explain how powder takes the shine off of a person’s nose. What is the name of the optical effect?

A jellyfish is floating in a water-filled aquarium 1.00 m behind a flat pane of glass 6.00 cm thick and having an index of refraction of 1.50. (a) Where is the image of the jellyfish located? (b) Repeat the problem when the glass is so thin that its thickness can be neglected. (c) How does the thickness of the glass affect the answer to part (a)?

A patient cant see objects closer than 40.0 cm and wishes to clearly see objects that are 20.0 cm from his eye. (a) Is the patient nearsighted or farsighted? (b) If the eye-lens distance is 2.00 cm, what is the minimum object distance p from the lens? (c) What image position with respect to the lens will allow the patient to see the object? (d) Is the image real or virtual? Is the image distance q positive or negative? (e) Calculate the required focal length. (f) Find the power of the lens in diopters. (g) If a contact lens is to be prescribed instead, find p, q, and f and the power of the lens.

A shopper standing 3.00 m from a convex security minor sees his image with a magnification of 0.250. (a) Where is his image? (b) What is the focal length of the mirror? (c) What is its radius of curvature? Explicitly show how you follow the steps in the Problem-Solving Strategy for Mirrors.

Construct ray diagrams to determine whether each of the following statement is true (T) or false (F). (a) For an object at a concave mirrors center of curvature, the image is real and inverted. (b) As an object approaches the focal point of a concave mirror, the image size shrinks to zero. (c) For an object in front of a convex mirror, the image is always virtual and upright.

An object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured to be 0.167 cm high. (a) What is the magnification? (b) Where is the image? (c) Find the radius of curvature of the convex mirror formed by the cornea. (Note that this technique is used by optometrists to measure the curvature of the cornea for contact lens fitting. The instrument used is called a keratometer, or curve measurer.)