10. A convex (diverging) mirror has a focal length with an absolute value of 130 mm. An object is placed 70 mm from the surface of the mirror. a. Is the image real or virtual? b. What is the magnification of the image? (Is it upright or inverted?) c. Where is the image located? d. Draw a ray diagram for the situation. Use a ruler and make the diagram to scale. 11. A concave (converging) mirror has a focal length with an absolute value of 120 mm. An object is placed 220 mm from the surface of the mirror. a. Is the image real or virtual? b. What is the magnification of the image? (Is it upright or inverted?) C. Where is the image located? d. Draw a ray diagram for the situation. Use a ruler and make the diagram to scale. 12. A concave (converging) mirror has a focal length with an absolute value of 200 mm. An object is placed 75 mm from the surface of the mirror. a. Is the image real or virtual? C. Where is the image located? b. What is the magnification of the image? (Is it upright or inverted?) d. Draw a ray diagram for the situation. Use a ruler and make the diagram to scale.

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.

A concave mirror has a radius of curvature of 60.0 cm. Calculate the image position and magnification of an object placed in front of the mirror at distances of (a) 90.0 cm and (b) 20.0 cm. (c) Draw ray diagrams to obtain the image characteristics in each case.

What are the differences between real and virtual images? How can you tell (by looking) whether an image formed by a single lens or mirror is real or virtual?

A virtual image is formed 20.0 cm from a concave mirror having a radius of curvature of 40.0 cm. (a) Find the position of the object. (b) What is the magnification of the mirror?

(a) A concave spherical mirror forms an inverted image different in size from the object by a factor a 1. The distance between object and image is d. Find the focal length of the mirror. (b) What If? Suppose the mirror is convex, an upright image is formed, and a 1. Determine the focal length of the mirror.

A lens is used to examine an object across a room. Is the lens probably being used as a simple magnifier? Explain in terms of focal length, the image, and magnification.

Lulu looks at her image in a makeup mirror. lt is enlarged when she is close to the mirror. As she backs away, the image becomes larger, then impossible to identify when she is 30.0 cm from the mirror, then upside down when she is beyond 30.0 cm, and finally small, clear, and upside down when she is much farther from the mirror, (i) Is the mirror (a) convex, (b) plane, or (c) concave? (ii) Is the magnitude of its focal length (a) 0, (b) 15.0 cm, (c) 30.0 cm, (d) 60.0 cm, or (e) ?

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.)

The radius of curvature of the left-hand face of a flint glass biconvex lens (n = 1.60) has a magnitude of 8.00 cm, and the radius of curvature of the right-hand face has a magnitude of 11.0 cm. The incident surface of a biconvex lens is convex regardless of which side is the incident side. What is the focal length of the lens if light is incident on the lens from the left?