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 147. The exam period was 90 minutes; the mean score was 99.3; the median was 100. 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}.

Consider this L-R-C circuit. E(t) is given in volts and t is in seconds.

What is the phase angle Φ between the current and the AC source in the circuit?

(a) -73.8° (b) -24.3° (c) +54.3° (d) +61.2° (e) +73.8°

(a) -12.9 V (b) 0.00 V (c) 80.0 V (d) 89.2 V (e) 92.9 V

(a) 4.97 W (b) 14.2 W (c) 17.8 W (d) 24.2 W (e) 35.7 W

(a) 17.8 W (b) 35.7 W (c) 50.0 W (d) 64.0 W (e) 128.0 W

(a) 210 pF (b) 57 pF (c) 1.2 pF (d) 0.24 pF (e) 0.019 pF

An inductor, a resistor, and a capacitor are all in series with a voltage generator which outputs a signal V(t) = V_{0}sin(2π f t).

Which one of the following actions will decrease the total impedance Z of this circuit, given that the voltage signal has frequency equal to the resonant frequency of the circuit, and assuming all other quantities remain constant?

(a) decreasing the frequency f of the voltage signal (b) decreasing the resistance R (c) decreasing the inductance L (d) decreasing the maximum voltage V_{0} (e) decreasing the capacitance C

(a) P < I_{rms} V_{rms} (b) P = I_{rms} V_{rms} (c) P > I_{rms} V_{rms}

(a) 5 m behind, upright image (b) 10 m behind, upright image (c) 20 m behind, upright image (d) 10 m behind, inverted image (e) 5 m behind, inverted image

(a) 13 cm (b) 26 cm (c) 52 cm

(a) 5.6 × 10^{7}Hz (b) 5.6 × 10^{14}Hz (c) 10^{16} Hz (d) 2.8 × 10^{18} Hz (e) 5.6 × 10^{18} Hz

(a) is in phase with the voltage across the inductor. (b) is out of phase with the voltage across the inductor by 180°. (c) is in phase with the voltage from the generator. (d) is out of phase with the voltage from the generator by 180°. (e) is in phase with both the voltage across the inductor and the generator.

(a) both frequency and wavelength increase. (b) neither frequency nor wavelength changes. (c) frequency increases, wavelength decreases. (d) frequency does not change, wavelength increases. (e) frequency decreases, wavelength stays the same.

(a) inverted virtual magnified image. (b) inverted real magnified image. (c) upright virtual magnified image. (d) upright real magnified image. (e) real virtual magnified image.

To transmit an electromagnetic field from one place to another, we have a long hollow tube with a square cross section, 10 cm by 10 cm. The tube confines the electromagnetic field to the inside of the tube, but other than this the transmitted field has the exact same properties as an infinite plane wave. If the electric field has an rms value of 3000 N/C, what is the rms value of the magnetic field?

(a) 2 × 10^{-5} T (b) 1 × 10^{-5} T (c) 1 × 10^{-6} T (d) 5 × 10^{-6} T (e) 7 × 10^{-6} T

(a) 60 J/s (b) 239 J/s (c) 1190000 J/s

A movable object is placed in front of a diverging lens with focal length f = -10 cm. At time t = 0, the object is at position x = 15 cm from the lens and its velocity is 20 m/s.

Which one of the following statement is true regarding the motion of its image (real or virtual) at t = 0?

(a) It moves faster than the object itself. (b) It moves slower than the object itself. (c) They are moving at the same velocity.

(a) The image is virtual; on the same side of the lens as the object. (b) The image is virtual; on the other side of the lens from the object. (c) The image is real; on the other side of the lens from the object.

A double slit experiment is set up using monochromatic light (frequency f = 6.0 × 10^{14} Hz). The screen is 2.1 m from the slits. You observe that the distance from the central fringe to the 2^{nd} bright fringe is 2 cm. What is the spacing d between the slits?

(a) 0.025 mm (b) 0.050 mm (c) 0.075 mm (d) 0.100 mm (e) 0.125 mm

(a) 21° (b) 46° (c) 63° (d) 71° (e) 81°

(a) increase by a factor of 2. (b) increase by a factor of 4. (c) decrease by a factor of 2. (d) decrease by a factor of 4. (e) remain the same.

(a) A (b) B (c) C (d) D (e) all of the above

(a) A (b) B (c) C

A young boy is preparing to blow a soap bubble from a wand, when he notices that there is a "rainbow" in the soap film. There is constructive interference of reflected light of wavelength 530 nm. If the index of refraction of the soap solution is 1.4, what is the minimum thickness of the soap film?

(a) 50 nm (b) 95 nm (c) 190 nm (d) 285 nm (e) 380 nm

(a) completely constructively (b) completely destructively (c) neither of the above

(a) 52.6 m (b) 83.3 m (c) 132.1 m (d) 166.6 m (e) 213.0 m

An observer sees the light through a linear polarizer that is held so that the axis of transmission lies in the plane of incidence, as shown in the figure. What is the intensity of the reflected light as seen by the observer if the incident intensity is I_{0}?

(a) 0 (b) ¼ I_{0} (c) ½ I_{0} (d) ¾ I_{0} (e) I_{0}

(a) 2.7 km (b) 5.4 km (c) 8.0 km (d) 11.1 km (e) 120 km

The image is formed at location:

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