# Physics 102 Extra practice problems Fall The next two questions pertain to the following situation:

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1 The next two questions pertain to the following situation: Three charges are placed located as shown in the figure to the right. The grid spacing is in meters.. y Calculate the x-component of the net force on the bottom charge at (0,-3) due to the two charges on the x-axis. (A) F x = N (B) F x = N (C) F x = 0 (D) F x = N (E) F x = N C -9 C + +9 C x Calculate the y-component of the net force on the bottom charge due to the two other charges. (A) F x y = N N (B) F x y = N (C) F x y = 0 (D) F y x = N N (E) (E) F F y x = = N N 1 of 19 pages

2 The next three questions pertain to the following situation. R 1 R 1 I 3 I 1 a R2 R 3 b E 1 E 2 E 3 I 2 c 3. Which of the following equations is not valid? a. +E1 + R1I1 + I2R2 E2 = 0 b. +E1 + (R1/2)I1 R3I3 + E3 = 0 c. +E2 R2I2 R3I3 + E3 = 0 4. Which of the following is a valid Kirchhoff current equation for the above circuit? a. I1 + I2 + I3 = 0 b. I1 I2 + I3 = 0 c. I1 + I2 I3 = 0 5. Let E1 = 9 volts, E2 = 3 volts and E3 = 5 volts. Which of the three points (a, b or c) has the lowest electric potential? a. point a b. point b c. point c 2 of 19 pages

3 The next five questions pertain to the following situation: The resistors R1 and R2 each have resistance 10, the capacitors C1, C2, and C3 all have capacitance 1 μf. The battery supplies a potential difference of 10 V. A perfect ammeter (without resistance) is connected in the lower left of the circuit, as shown in the figure. The switch on the top right is initially in the open position, and the capacitors are fully charged. 6. What is the current I through the ammeter with the switch open? a. 0.0 A b. 1.0 A 7. What is the effective capacitance between points X and Y with the switch open? X R1 a F b. 0.5 F c F d. 2 F e. 3 F 10 V + C1 C2 8. What is the charge on capacitor C2 with the switch open? I A C3 a C b C c C d C e C Y R2 9. You close the switch and wait until the ammeter settles down. What current I is shown on the ammeter? a. 0.5 A b. 1.0 A c. 2.0 A 10. What is the charge on capacitor C2 now that the switch is closed? a. 0 C. b. 2.5 C c. 5.0 C 3 of 19 pages

4 The next three questions pertain to the following situation: Two positively charged particles enter a region of uniform magnetic field B. The B field is oriented perpendicular to the page. The paths of the two charged particles are shown. L a b 11. Which direction is the B field pointing? a. Into the page b. Out of the page 12. If the two particles have the same mass and initial velocity which one has the greater charge? a. Particle a b. Particle b 13. Let B = 1.5 T, mb = 3.0 x kg, vb = 2 x 10 7 m/s and qb = 1.6 x C. What is the length L? a. L = 0.33 m b. L = 0.50 m c. L = 1.50 m d. L = 2.67 m e. L = 7.50 m 4 of 19 pages

5 The next two questions pertain to the following situation: In the figure is shown a square loop (L = 2 cm) of wire in edge view, which is free to rotate around an axis O (perpendicular to the page). The loop consists of 8 loops of wire and the normal to the loops forms an angle of 30 o degrees. An external battery (not shown) causes a current I = 3.0 amps to flow around the loop. The external magnetic field directed down (B = 0.7 T) creates a clockwise torque on the current loop. O A What is the direction of the current in wire A? a. into the page b. out of the page 15. What is the magnitude of the torque? a N m b N m c N m 5 of 19 pages

6 The next three questions pertain to the following situation: Two fixed conductors are connected by a resistor R = 20. The two fixed conductors are separated by L = 1.5 m. A moving conductor is pushed along them (without friction) at a constant speed v = 6m/s. A 3 T magnetic field (shown by the black dots in the figure) points out of the page. 16. In which direction does the current flow through the resistor? a. to the right b. to the left R = 20 Ohms 17. What force must be applied to the bar to keep it moving at 6 m/s? a. 4 N b. 6 N c. 7.5 N v = 6 m/s 18. If the 20 ohm resistor was replaced by a 100 ohm resistor, the net force needed to keep the bar moving at 6 m/s would a. Increase b. Remain the same c. Decrease 6 of 19 pages

7 The next two questions refer to the same situation: This loop has 200 turns of wire with resistance 0.3 Ω/m. It is turned at a steady rate and dissipates energy with a peak power of 100 W. The external magnetic field is constant and the current flows around the loop in the direction indicated in the figure at the instant shown. B D 10 cm C B 15 cm B A B? 19. What is the peak emf generated in the loop? a. 23 V b. 55 V c. 100 V d. 173 V e. 284 V 20. As viewed from below, the direction of rotation of the loop is a. clockwise (that is, AD comes out of the page at the instant shown) b. counter-clockwise (that is, AD goes into the page at the instant shown) 7 of 19 pages

8 The next three questions pertain to the following situation. Two lenses are separated by 16 cm. Both Lens #1 and Lens #2 are converging lenses and have a focal length of 5 cm. An object (arrow) is located 10 cm to the left of Lens #1. 10 cm 16 cm F 1 F 1 F 2 F 2 Lens #1 Lens #2 21. If lens #2 were not present, the image formed by lens #1 would be a. 5 cm to the right of lens #1. b. 10 cm to the right of lens #1. c. 15 cm to the right of lens #1. d. 20 cm to the right of lens #1. e. 25 cm to the right of lens # Where is the final image of the pair of lenses? a. 25 cm to the left of lens #2 b. 15 cm to the left of lens #2 c. 10 cm to the left of lens #2 d. 20 cm to the right of lens #2 e. 30 cm to the right of lens #2 23. The final image formed by the pair of lenses is a. inverted relative to the object. b. upright relative to the object. 8 of 19 pages

9 The next two questions pertain to the following situation. Six slits are cut into an opaque screen as shown in the following figure. The spacing between the slits is not uniform; the y positions of the slits are indicated on the diagram. A viewing screen is positioned several meters to the right of the slits. The screen is illuminated from the left by a light source of wavelength. The particular light rays leaving the slits and converging at one point on the viewing screen are drawn in the diagram. The path lengths from the slits to that point on the screen differ for each of the rays. (The path length differences relative to the top-most ray are shown in the figure.) opaque screen with slits at the indicated y positions viewing screen y = 700 m y = 600 m y = 500 m rays shown leaving the slits at left converge at this point on the viewing screen y = 300 m y = 100 m y = 0 extra path length to viewing screen relative to top-most ray 24. The intensity of the light measured at the point of convergence of the rays is I6. If the intensity of light out of one slit is I1, what is the ratio of the intensities I6 / I1? a. I6 / I1 = 0. b. I6 / I1 = 2. c. I6 / I1 = 4. d. I6 / I1 = 9. e. I6 / I1 = Given that the wavelength of light is λ = 650 nm, determine the angle θ in the figure. a mrad b mrad c mrad 9 of 19 pages

10 26. Consider a diffraction pattern produced by passing light of wavelength through a screen containing a series of equally spaced slits. True or false: The total number of slits is greater in the pattern on the right than in the pattern on the left. a. true b. false 10 of 19 pages

11 The next three questions pertain to the following situation: 27. Blue light with wavelength = 380 nm is incident upon two narrow slits separated by a distance d before striking a screen 5.2 meters away. The distance between the central bright fringe and first dark fringe is m. Calculate d the spacing between the slits. (You may approximate sin( ) tan( ) ) a. d = 0.15 mm b. d = 0.21 mm c. d = 0.36 mm d. d = 0.41 mm e. d = 0.55 mm d Not drawn to scale = 380 nm 5.2 m Dark fringe 1.8 mm Bright fringe 28. Now red light ( = 650 nm) is incident on the same two slits, the distance y between the central bright fringe and the first dark fringe is a. y < 1.8 mm b. y = 1.8 mm c. y > 1.8 mm Not drawn to scale 29. Now the two slits are replaced by a single slit with width w= d, and illuminated with the original blue light. What is the distance y to the first dark fringe? a. y < 1.8 mm b. y = 1.8 mm c. y > 1.8 mm w = 380 nm Dark fringe y Bright fringe 5.2 m 11 of 19 pages

12 The next three questions refer to the following situation: If you go to the Art Institute of Chicago, you can admire paintings by the French painter Georges Seurat. For his work, Seurat uses small dots of color to produce an image. At a distance of a few meters, the eye cannot resolve these dots. You thus see a smooth picture. 30. If each dot is the same size, which color dots are the easiest to resolve? a. Red ( =660 nm) b. Green ( =550 nm) c. Blue ( = 470 nm) 31. The diameter of the green ( =550 nm) dots in the painting is d = 2.0 mm and the dots are touching each other, as shown in the figure below. What is the maximum distance, L, a person with normal, unaided vision (near point 25 cm, far point infinity, pupil diameter 2.0 mm) can stand from the painting to resolve the individual green dots? d d d a. L = 1.44 m b. L = 2.31 m c. L = 3.27 m d. L = 4.89 m e. L = 5.96 m 32. Let L be the answer to the previous question. If the diameter of the green dots were 1.0 mm instead of 2.0 mm, the maximum distance a person with normal, unaided vision (near point 25 cm, far point infinity, pupil diameter 2.0 mm) can stand from the painting to resolve the individual green dots would be a. smaller than L. b. equal to L. c. larger than L. 12 of 19 pages

13 33. Sunlight shines through a pinhole in an otherwise opaque window shade, creating a bright spot on a wall on the opposite side of the room. Because of diffraction effects, the color of the bright spot (as well as its intensity) varies with distance from the center of the spot. Assume that the range of wavelengths in sunlight extends from 400 nm (blue) to 700 nm (red). window shade bright spot on opposite wall sunlight white point A point B Which one of the following statements can be correct? Relative to the center of the bright spot, which is white, a. point A contains equal intensities of all colors of light while point B consists only of red light. b. point A contains only blue light while point B contains only red light. c. points A and B only contain green light. d. point A is deficient in blue light while point B is deficient in red light. e. point A is deficient in red light while point B is deficient in blue light. 13 of 19 pages

14 34. Of the hypothetical nuclear reactions below, which is possible? + and represent the positron (the antiparticle of the electron) and electron, with charges +1e, and 1e, respectively and and represent (neutral) neutrinos. a. none are possible b O + n 17 8 O c. 7 N + 1 1H 14 6 C d. 2 1H + 3 1H α + n e C 14 7 N + γ 35. Imagine a universe where the electron has a spin of 3/2. Its spin quantum number ms could then have the following four values: ms = +3/2, +1/2, 1/2, and 3/2. If this were true, the first element with a filled shell would be the first of the noble gases and it would be: a. He with 2 electrons b. Li with 3 electrons c. Be with 4 electrons d. C with 6 electrons e. 0 with 8 electrons 36. Consider a hydrogen atom in the n = 1 state. The atom is placed in a uniform B field of magnitude 2.5 T. Calculate the energy difference between the highest and lowest electronic energy levels in the presence of the B field. a ev b ev c ev 14 of 19 pages

15 37. What is the maximum number of electrons that can be found in the n = 3 shell of an atom? a. 14 b. 18 c Consider a singly ionized He atom. What is the wavelength of a photon that is emitted as the atom makes a transition between the n = 5 and n = 3 states? a. 151 nm b. 321 nm c. 570 nm d. 821 nm e nm The nucleus of nitrogen 7 N has a mass of 13,040 MeV/c 2. What is the binding energy of this nucleus? (The mass of the proton is MeV/c 2, and that of the neutron is MeV/c 2 ) a. 2.2 MeV b MeV c MeV d MeV e MeV 40. A radioactive isotope has a half-life of 8 months. What fraction of a sample of the isotope will still remain after 2 years? a. 1/32 b. 1/16 c. 1/8 d. 1/4 e. 1/2 15 of 19 pages

16 The next two questions refer to the following situation: Not drawn to scale First bright fringe d Central bright fringe L 41. An electron beam of energy 2 ev is incident on two slits separated by a distance d = 100 nm. A screen is placed L = 2 m away from the slits. What is the separation between the first interference maximum and the center line? (The mass of the electron is 511 kev/c 2.) a. 6.5 mm b mm c mm 42. The electron beam is replaced by a beam of light. What energy of photons will recreate the exact same pattern on the screen? a. 2 ev b. 350 ev c. 1.4 kev 16 of 19 pages

17 43. You decide to build your own burglar alarm system using your knowledge of the photoelectric effect from Phys Your idea is to shine a laser onto a metal, generating a current from the release of photoelectrons. If the beam is blocked (by a burglar), the current stops, and the alarm goes off. To ensure that the burglar does not see the beam of light, you use an infrared laser (with wavelength 1064 nm). Now you need to select a metal with the right work function W0 to complete your alarm; you have the following choices: Metal A W0 = 1 ev Metal B W0 = 1.5 ev Metal C W0 = 2 ev Which metal(s) will work for this application? a. All of them b. A and B c. B and C d. A only e. C only 17 of 19 pages

18 The next two questions refer to the following situation: The H-α line is a spectral line observed from the transition between n = 3 and n = 2 energy levels. It is often seen in the spectrum of light from celestial objects. 44. Determine the wavelength of light emitted from this transition for a source at rest. a. 656 nm b nm c. 374 nm 45. The absorption spectrum of a distant galaxy exhibits an H-α line that is red-shifted by 1%. Given Hubble s law v = H0d with H0 = 70 km/s/mpc, determine the distance to the galaxy in Megaparsecs (Mpc). a. 90 Mpc b. 43 Mpc c. 17 Mpc 18 of 19 pages

19 Physics 102. Extra practice problems Fall 2014 ANSWER KEY 1. E 2. C 3. A 4. B 5. B 6. A 7. C 8. C 9. A 10. A 11. B 12. A 13. B 14. A 15. A 16. A 17. B 18. C 19. B 20. A 21. B 22. E 23. B 24. C 25. A 26. A 27. E 28. C 29. C 30. C 31. E 32. A 33. D 34. D 35. C 36. B 37. B 38. B 39. E 40. C 41. B 42. C 43. D 44. A 45. B 19 of 19 pages (48 questions)

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