A convex spherical mirror, whose focal length has a magnitude of 16.4 cm, is to form an image 13.0 cm behind the mirror. (a) Where should the object be placed? cm in front of the mirror (b) What is the magnification of the mirror?

An object 10.0 cm tall is placed at the zero mark of a meter-stick. A spherical mirror located at some point on the meter-stick creates an image of the object that is upright, 4.00 cm tall, and located at the 42.0-cm mark of the meterstick. (a) Is the mirror convex or concave? (b) Where is the mirror? (c) What is the mirror s focal length?

A certain slide projector has a 100 mm focal length lens. (a) How far away is the screen, if a slide is placed 103 mm from the lens and produces a sharp image? (b) If the slide is 24.0 by 36.0 mm, what are the dimensions of the image? Explicitly show how you follow the steps in the PreblemSolving Strategy for lenses.

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).

A converging lens has a focal length of 10.0 cm. Construct accurate ray diagrams for object distances of (i) 20.0 cm and (ii) 5.00 cm. (a) From your ray diagrams, determine the location of each image. (b) Is the image real or virtual? (c) Is the image upright or inverted? (d) What is the magnification of the image? (c) Compare your results with the values found algebraically. (f) Comment on difficulties in constructing the graph that could lead to differences between the graphical and algebraic answers.

Andy decides to use an old pair of eyeglasses to make some optical instruments. He knows that the near point in his left eye is 50.0 cm and the near point in his right eve is 100 cm. (a) What is the maximum angular magnification he can produce in a telescope? (b) If he places the lenses 10.0 cm apart, what is the maximum overall magnification he can produce in a microscope? Hint: Go back to basics and use the thin lens equation to solve part (b).

A concave spherical mirror has a radius of curvature of magnitude 24.0 cm. (a) Determine the object position for which the resulting image is upright and larger than the object by a factor of 3.00. (b) Draw a ray diagram to determine the position of the image. (c) Is the image real or virtual?

6

CM-1 An object is placed 15.0 cm from a concave mirror with a focal length of 25.0 cm. a) Draw a diagram, showing 3 rays originating from the object reflecting off the mirror, and where they converge to form the image. b) What is the image distance? c) What is the total lateral magnification of the image? d) Is the image real or virtual? e) Is the image upright or inverted?

#9 Estimate answers up to 3 decimal places An object 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror. The radius of curvature of the mirror has magnitude 73 cm. (a) How far (in cm) is the image from the vertex of the mirror?