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 95. The exam period was 75 minutes; the mean score was 64.5; the median was 64. Click here to see page1 page2 page3 of the formula sheet that came with the exam.

Some helpful information: • A reminder about prefixes: p (pico) = 10^{-12}; n (nano) = 10^{-9}; μ (micro) = 10^{-6}; m (milli) = 10^{-3}; k (kilo) = 10^{+3}; M or Meg (mega) = 10^{+6}; G or Gig (giga) = 10^{+9}.

(a) Use A for nearsightedness; use B for farsightedness and magnification. (b) Use A for farsightedness; use B for nearsightedness and magnification. (c) Use A for nearsightedness and magnification; use B forfarsightedness. (d) Use A for farsightedness and magnification; use B fornearsightedness. (e) Use A for magnification; use B for near- and farsightedness.

(a) -2.59 cm (b) -2.51 cm (c) 2.43 cm (d) 2.47 cm (e) 2.51 cm

An unpolarized source emits light of average intensity 1.5 watts per square meter toward a stack of polarizers, each lying in the x-y plane. The transmission axis of the first makes a 45° angle with respect to the x-axis. The transmission of the second is horizontal (lies along the x-axis). The transmission axis of the third makes a 30° angle with respect to the x-axis. (In this diagram, the light moves from upper-left to lower- right.)

What is the peak magnetic field associated with this radiation?

(a) 5.6 × 10^{-8} T (b) 7.9 × 10^{-8} T (c) 1.1 × 10^{-7} T

(a) 0.28 W/m^{2} (b) 0.36 W/m^{2} (c) 0.46 W/m^{2} (d) 0.56 W/m^{2} (e) 0.92 W/m^{2}

(T) True (F) False

(T) True, the mirror must be concave. (F) False, the mirror does not have to be concave.

(a) 3 cm (b) 17.3 cm (c) 22.5 cm (d) 133 cm (e) 173 cm

This trapezoidal glass prism, with index of refraction 1.95, has two sloped faces, each at angle θ = 40° with respect to a horizontal reference line. (The top and bottom faces are horizontal.) The prism is surrounded by air.

Ray of light #1 enters the glass without bending. As ray #1 strikes the top face, does it experience total internal reflection? (a) Yes, all the incident light energy is reflected back into the glass. (b) No, some light refracts out, but at different angles total internal reflection will occur. (c) No, under these circumstances, there cannot be total internal reflection at the top face, regardless of the angle of ray #1.

(a) 16.7° (b) 19.2° (c) 20.8° (d) 23.1° (e) 30.8°

(a) The angle φ will be smaller when the prism is submerged. (b) The angle φ will be unaffected by the surrounding water. (c) The angle φ will be larger when the prism is submerged.

Two lenses, with focal lengths f_{1} = 16 cm and f_{2} = -15 cm, are separated by a distance L = 10 cm. (The diagram shows the lenses as flat plates to obscure their shapes.)

You hold a real object at x = 8 cm in front of the first lens. What is the magnification of this system? (The answers below are for the absolute value of the magnification.)

(a) 0.37 (b) 0.73 (c) 1.59 (d) 1.67 (e) 2.73

(a) Yes, that edge of the fluid is bright. (b) No, that edge of the fluid is dark.

A layer of oil (index of refraction = 1.47) sits on top of vinegar (index of refraction = 1.31). Find the smallest (but non-zero) thickness t of oil at which blue light (λ = 450 nm) shining straight downward from the air above is not reflected from the surface.

(a) 77 nm (b) 86 nm (c) 113 nm (d) 153 nm (e) 172 nm

(a) 3 (b) 4 (c) 5

(a) 10 m (b) 100 m (c) 1 km (d) 10 km (e) 100 km

(a) -90.3 cm (b) -20.2 cm (c) +20.2 cm

(a) 12 (b) 24 (c) 25

(a) 49.1 cm (b) 52.3 cm (c) 55.0 cm (d) 57.2 cm (e) 72.0 cm

(a) 0.093° (b) 0.47° (c) 0.93° (d) 1.47° (e) 14.7°