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1 PHY 112: General Physics M. F. Thorpe T, Th 7:408:55am Fall 2006 Department of Physics Arizona State University Tempe AZ Final, Friday 8 December from 7:40am > 9.30am All questions carry equal weight. Do as many as you can. Difficulty Easy =1, Medium =2, Hard = 3. F.1 Four charges are at the corners of a square, with B and C on opposite corners. Charges A and D, on the other two corners, have equal charge, while both B and C have a charge of +1.0 C. What is the charge on A so that the force on B is zero? A B +1 Coul a. 1.0 C b C c C d C C +1 Coul D F. 2 Charges of 4.0 µc and 6.0 µc are placed at two corners of an equilateral triangle with sides of 0.10 m. At the third corner, what is the electric field magnitude created by these two charges? (k e = N m 2 /C 2 ) a N/C b N/C c N/C d N/C Answer D 3 F.3. An electron with velocity v = m/s is sent between the plates of a capacitor where the electric field is E = 500 V/m. The initial velocity is horizontal. If the distance the electron travels through the field is 1.0 cm, how far is it deviated (Y) in its path when it emerges from the electric field? (m e = kg, e = C) a. 2.2 mm 1 cm b. 4.4 mm c. 2.2 cm d. 4.4 cm v Y
2 F.4. A solid conducting sphere of 10 cm radius has a net charge of 20 nc. If the potential at infinity is taken as zero, what is the potential at the center of the sphere? a. 36 μv b. 360 μv c V d. > V F.5 How long is a wire made from 100 cm 3 of copper if its resistance is 8.5 ohms? The resistivity of copper is Ω m. a. 7.1 m b m c m d m F.6 An electric clothes dryer draws 15 A at 220 V. If the clothes put into the dryer have a mass of 7.0 kg when wet and 4.0 kg dry, how long does it take to dry the clothes? (Assume all heat energy goes into vaporizing water, L v = J/kg.) a. 55 min b. 34 min c. 20 min d. 16 min F.7 Three resistors connected in parallel have individual values of 4.0, 6.0 and 10.0 Ω, respectively. If this combination is connected in series with a 12V battery and a 2.0Ω resistor, what is the current in the 10Ω resistor? a A b. 1.0 A c. 11 A d. 16 A 12 V 2.0 Ω 4.0 Ω 6.0 Ω 10.0 Ω
3 F.8 How much current is flowing in one of the 10Ω resistors? 12 V a. 0.8 A b. 2.0 A c. 1.6 A d. 2.4 A 2 Ω 20 Ω 10 Ω 10 Ω Answer A 2 F.9 A circular coil (radius = 0.40 m) has 160 turns and is in a uniform magnetic field. If the orientation of the coil is varied through all possible positions, the maximum torque on the coil by magnetic forces is 0.16 N m when the current in the coil is 4.0 ma. What is the magnitude of the magnetic field? a T b. 1.6 T c T d. 1.2 T F.10 A proton, mass kg and charge C, moves in a circular orbit perpendicular to a uniform magnetic field of 0.75 T. Find the time for the proton to make one complete circular orbit. a s b s c s d s F.11 Two loops of wire are arranged so that a changing current in one will induce a current in the other. If the current in the first is increasing clockwise by 1.0 A every second, the induced current in the second loop will: a. be increasing counterclockwise. b. stay constant. c. increase clockwise also. d. stay zero.
4 F.12 A circuit consists of a 10mH coil, a 9.0V battery, a parallel combination of a 12Ω resistor and a 6.0Ω resistor, and a switch, all in series. What is the time constant of this circuit? a s b s c s d. This circuit has 2 time constants. F.13 A 12.0μF capacitor is connected to an AC source with an rms voltage of 120 V and a frequency of 60.0 Hz. What is the rms current in the capacitor? a A b A c A d. 0 A F.14 What is the average power dissipation in a series RC circuit if R = 5.00 kω, C = 2.00 µf, and V = (170 V) cos 300t? a W b W c W d. 157 W F.15 Water has an index of refraction of What is the speed of light through it? (c = m/s) a m/s b m/s c m/s d m/s Answer B 2 F.16 A beam of light is incident upon a flat piece of glass (n = 1.50) at an angle of incidence of 45º. Part of the beam is transmitted and part is reflected. What is the angle between the reflected and transmitted rays? a. 28º b. 73º c. 107º d. 152º
5 F.17 Three materials with n 1 < n 2 < n 3 are arranged in layers of uniform thickness. A light ray in air enters the first layer at an angle of incidence of 30º and the ray eventually exits the third layer at the refracted angle θ in air. What is the value of θ? a. Some angle less than 30º. b. 30º c. Some angle more than 30º. d. Insufficient information to answer. F.18 A ray of light travels across a liquidtoglass interface. If the indices of refraction for the liquid and glass are, respectively, 1.75 and 1.52, what is the critical angle at this interface? a. 30.0º b. 52.2º c. 60.3º d. Critical angle does not exist. F.19 A glass block, for which n = 1.52, has a blemish located 3.2 cm from one surface. At what distance from that surface does the image of the blemish appear to the outside observer? a. 1.6 cm b. 2.1 cm c. 4.9 cm d. 6.4 cm Answer B 2 F.20 Ellen places an object 40.0 cm from a concave lens. If a virtual image appears 10.0 cm from the lens on the same side as the object, what is the focal length of the lens? a cm b cm c cm d cm Answer B 2 F.21 Laser light sent through a double slit produces an interference patter on a screen 3.00 m from the slits. If the second order maximum occurs at an angle of 12.0, at what angle does the eighth order maximum occur? a. No eighth order maximum occurs. b c d. Not enough information is given.
6 F.22 Two flat glass plates are in contact along one end and are separated by a sheet of paper m thick at the other end. The top plate is illuminated by a monochromatic light source of wavelength 490 nm. How many dark parallel bands will be evident across the top plate? (1 nm = 10 9 m) a. 7 b. 9 c. 13 d. 17 Answer D 3 F.23 The critical angle for sapphire surrounded by air is 34.4º. Calculate the polarizing angle for sapphire. a. 60.5º b. 59.7º c. 58.6º d. 56.3º F.24 A camera is used to photograph the full moon, which has an angular diameter of The image on the film is 3.1 mm in diameter. What is the focal length of the lens? a. 6.3 mm b. 13 mm c. 350 mm d. 710 mm F.25 The Yerkes refracting telescope has a 1m diameter objective lens of focal length 20 m and an eyepiece of focal length 2.5 cm. What is the magnification of the planet Mars as seen through this telescope? a. 200 b. 400 c. 800 d
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