This exam consists of 29 questions; true-false questions are worth 2 points each, three-choice multiple choice questions are worth 3 points each, five-choice multiple choice questions are worth 6 points each. The maximum possible score is 116. When the exam was given, the mean was 92.6; the median was 93. Click here to see page1 page2 of the formula sheet that came with the exam.

(T) True (F) False

(a) Yes (b) No

Reading glasses with a power of +2.3 diopters are used to help a far-sighted person see text at a comfortable distance of 30 cm in front of her eyes. Without the glasses, the closest she can see clearly is

(a) 37 cm (b) 67 cm (c) 97 cm

(a) (b)

(a) n_{1} < n_{2} < n_{3} (b) n_{1} > n_{2} > n_{3} (c) n_{1} < n_{2} > n_{3}

(a) #1 (b) #2 (c) #3 (d) #4 (e) #5

An inverted image is 2/3 as large as the original object, which is positioned 23 cm in front of a concave spherical mirror. What is the focal length of this mirror?

(a) 4.4 cm (b) 9.2 cm (c) 11.1 cm (d) 17.6 cm (e) 32.1 cm

(a) move closer to the mirror. (b) move further from the mirror. (c) remain the at same location.

(a) 0.57 m (b) 1.17 m (c) 1.33 m (d) 1.69 m (e) 2.45 m

(a) 111 nm (b) 185 nm (c) 222 nm (d) 370 nm (e) 444 nm

The figure below shows a diverging lens with a focal length of -2 cm. The object is located 5 cm to the left of the lens.

The image formed by the lens will be

(a) real. (b) virtual.

(a) upright. (b) inverted.

(a) 0.63 cm (b) 1.44 cm (c) 3.10 cm

(a) 1.8 cm (b) 3.0 cm (c) 4.2 cm (d) 5.0 cm (e) 6.1 cm

There are two layers of transparent materials surrounded by air. The bottom layer is glass with refractive index n_{1} = 1.5. The top layer is a plastic with refractive index n_{2} = 2.07. A beam of light enters from the bottom layer with an incidence angle of 45°.

What is the angle q of the beam inside the plastic?

(a) 14° (b) 20° (c) 26°

(a) (b) (c)

(a) 28.8° (b) 46.3° (c) 66.1°

An object of height 0.05 meters is located 0.6 meters in front of a thin converging lens. The lens forms an image of the object at point A, which is 0.3 meters beyond the lens.

What is the focal length of the lens?

(a) 0.40 m (b) 0.20 m (c) 0.15 m

(a) 0.025 m (b) 0.050 m (c) 0.075 m

(a) increase in size and move closer to the lens. (b) increase in size and move farther away from the lens. (c) decrease in size and move closer to the lens. (d) decrease in size and move farther away from the lens. (e) stay in the same place.

(a) 0.6 m left of the second lens (b) 0.2 m left of the second lens (c) 0.2 m right of the second lens (d) 0.6 m right of the second lens (e) 0.9 m right of the second lens

(a) 6.0 m (b) 9.9 m (c) 12.6 m (d) 14.5 m (e) 17.4 m

(a) 200 µm (b) 333 µm (c) 400 µm (d) 500 µm (e) 800 µm

(a) 100 (b) 139 (c) 200 (d) 288 (e) 400

An air wedge is formed by two thick optical plates in contact at one end and separated at the other as shown. The plates have index of refraction 1.5. When monochromatic light of wavelength 500 nm in air is incident on the plates, a series of dark parallel lines is observed.

What is the separation of the plates at the location of the 72^{nd} dark line to the right of the contact edge?

(a) 18 µm (b) 24 µm (c) 36 µm (d) 54 µm (e) 108 µm

(a) increases. (b) stays the same. (c) decreases.