Note: Be Sure to Use a Ruler for Ray Diagrams!

Optics Review

Note: Be sure to use a ruler for ray diagrams!

1. A pinhole camera is used to determine the height of a building 150 m away. The image in the 25-cm-long camera was 44 mm high. Find the height of the building.

2. Find the four image characteristics using equations and illustrate using a scale ray diagram for each of the following:

a) A concave mirror of focal length 20 cm with an object at 30 cm

b) A concave mirror of focal length 30 cm with an object at 20 cm

c) A concave mirror of focal length 10 cm with an object at 30 cm

d) A convex mirror of focal length 20 cm with an object at 30 cm

e) A convex mirror of focal length 20 cm with an object at 15 cm

f) A concave mirror with a radius of curvature of 20 cm with an object at 10 cm

3. A concave mirror of focal length 25 cm is used to form a virtual image twice as large as the object. Find the position of the object.

4. Draw a ray diagram to illustrate how an image is formed in a plane mirror and state the image characteristics.

5. If you look at yourself in a convex mirror from a distance of 25 cm and the image of your face is ¼ as large as your actual face, what is the focal length of the mirror?

6. List the main components of the electromagnetic spectrum in order of increasing wavelength.

7. A concave mirror of focal length 15 cm is used in an experiment to form an image of a 3.5 cm high candle flame. Find all the characteristics of the image and draw a scale ray diagram to illustrate the formation of the image if the candle is placed

a) 10 cm from the mirror

b) 15 cm from the mirror

c) 20 cm from the mirror

d) 35 cm from the mirror

8. A laser beam is incident on an unknown liquid at 27° and refracts at 13°. Find:

a) the refractive index of the liquid

b) the critical angle for the liquid

c) the speed of light in the liquid

9. White light is incident on the inner surface of a glass prism at an angle of 30°. The index of refraction is 1.51 for violet light and 1.47 for red light. Find the angle of refraction for each colour.

10. A convex lens of focal length 10 cm is used in an experiment to form the image of a 4.5 cm high candle flame. Find all the characteristics of the image and draw a scale ray diagram to illustrate the formation of the image if the candle is placed

a) 8 cm from the lens

b) 15 cm from the lens

c) 20 cm from the lens

d) 35 cm from the lens

11. Determine the characteristics of the image formed by a concave lens with focal length 17 cm if the object is placed at the focal point.

Pride Point Challenge Section

12. You wish to use a concave mirror of focal length 22 cm to form a real image with a magnification of 1.5 times. Where must the object be located?

13. Where should an object be placed relative to a convex lens with focal length 12 cm if

a) a real image with magnification 1.5 is desired?

b) a virtual image twice the size of the object is desired?

14. You look in a convex mirror of focal length 15 cm and the image of your face is 16 cm from your actual face. How far are you from the mirror?

15. White light is incident on an equilateral glass prism at an angle of 30° as shown. The index of refraction is 1.51 for violet light and 1.47 for red light. Find the angular dispersion of red and violet light. (The angle between the emerging beams.)

Answers

1. 26.4 m

2.

3. 12.5 cm

4. Refer to your notes

5. -8.33 cm

6. Refer to your notes

7.

8. a) 2.02b) 29.7 degreesc) 1.5x108 m/s

9. 49.0°, 47.3°

10.

11. di = -8.5 cm, M = 0.5; smaller, virtual, upright, 8.5 cm on same side

12. 36.7 cm

13. a) 20 cmb) 6 cm

14. 10 cm

15. 8.4 degrees