3402 Reflection at a Spherical Surface

Exercises

4, 5, 6, 9, 11, 14

34.4 A concave mirror has a radius of curvature of 34.0 cm.
(a) What is its focal length?
(b) If the mirror is immersed in water (refractive index 1.33), what is its focal length?

34.5 An object 0.650 cm tall is placed 16.5 cm to the left of the vertex of a concave spherical mirror having a radius of curvature of 24.0 cm.
(a) Determine the position of the image.
(b) Determine the size of the image.
(c) Determine the orientation of the image.
(d) Determine the nature (real or virtual) of the image.

34.6 An object 0.600 cm tall is placed 16.5cm to the left of the vertex of a convex spherical mirror having a radius of curvature of 22.0 cm.
(a) Determine the position of the image.
(b) Determine the size of the image.
(c) Determine the orientation of the image.
(d) Determine the nature (real or virtual) of the image.

34.9 A coin is placed next to the convex side of a thin spherical glass shell having a radius of curvature of 18.0 cm . Reflection from the surface of the shell forms an image of the 1.5-cm-tall coin that is 6.50 cm behind the glass shell.
(a) Where is the coin located?
(b) Determine the size of the image.
(c) Determine the orientation of the image.
(d) Determine the nature (real or virtual) of the image.

34.11 A spherical, concave shaving mirror has a radius of curvature of 31.4 cm.
(a) What is the magnification of a person’s face when it is 13.0 cm to the left of the vertex of the mirror?
(b) Where is the image? Is the image real or virtual?
(c) Draw a principal-ray diagram showing the formation of the image.

34.14 For a convex spherical mirror that has focal length $f = -12.0$ cm, what is the distance of an object from the mirror’s vertex if the height of the image is half the height of the object?