2. A proton is traveling with velocity v, to the right, through a magnetic field pointing into the page as indicated in the figure below.

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1 1. An electron has a mass of 9.11 x kg and its charge is -1.6 x C. The electron is released from rest in a vacuum between two flat, parallel metal plates that are 10 cm apart. The potential difference across the plates is 750 volts. The electron is released near the negative plate. What is its speed just before it strikes the positive plate? 2. A proton is traveling with velocity v, to the right, through a magnetic field pointing into the page as indicated in the figure below. (a) Indicate with an arrow the direction of the magnetic force on the proton. (b) The mass of the proton is 1.67 x kg, its charge has a magnitude of 1.6 x C, its speed is 1.55 x 10 5 m/s, and the magnetic field strength is 18.5 x 10-3 T. Find the magnitude of the magnetic force on the proton.

2 3. A magnetic field is pointing out of the paper as indicated in the figure below. The coil contains 100 loops of wire. The loop diameter is 15 cm. The magnetic field is reduced from 1 T to zero T in 16 seconds. (a) While the magnetic field is changing, indicate the direction of the induced current, drawing either a clockwise or counter clockwise arrow. (b) What is the magnitude of the induced emf while the field is changing? 4. An arrow shaped object is placed 2 cm in front of a concave, spherical mirror whose radius of curvature is 8 cm. The arrow is perpendicular to the principle axis, which passes through the center of the mirror. Assume the arrow is much shorter than 8 cm. (a) Locate the position of the image by constructing a ray diagram below. (b) Is the image real or virtual?

3 5. For the circuit shown below, calculate the voltage across, current through and power requirements of the 8.0 ohm resistor when 15 volts are applied across the terminals. R 2 =8.0 R 3 =12.0 R 1 =4.0 R 4 =6.0 R 5 = A double slit diffraction experiment is set up with a slit separation of 2 x 10-4 m, and screen distance of 0.8 m. The distance from the central maximum to the second bright fringe from the central maximum is 3.9 x 10-3 m. Approximately what is the wavelength of the light?

4 7. What is the DeBroglie wavelength of a neutron whose kinetic energy is equal to the average kinetic energy of an ideal gas of neutrons at 4 degrees K? 8. A five gram conducting sphere with a charge of 20 micro-coulombs hangs by an insulating thread in an electric field produced by two plates separated by 8.0 cm. What potential across the plates will cause the sphere to hang at 25 degrees to the vertical?

5 9. A hollow tube of length L, open at both ends as shown above, is held in midair. A tuning fork with a frequency f o vibrates at one end of the tube and causes the air in the tube to vibrate at its fundamental frequency. Express your answers in terms of L and f o. a. Determine the wavelength of the sound. b. Determine the speed of the sound. c. Determine the next higher frequency at which this air column would resonate. The tube is submerged in a large graduated cylinder filled with water. The tube is slowly raised out of the water and the same tuning fork, vibrating with a frequency f o, is held a fixed distance from the top of the tube. d. Determine the height h of the tube above the water when the air column resonates for the first time. Express your answer in terms of L.

6 10. Two radioactive isotopes are extracted from spent nuclear fuel and placed in a metal container, which is then sealed and deposited in a nuclear waste disposal facility. The graph above shows how many nuclei of isotopes 1 and 2 remain as a function of time. a. From the graph, determine the half-life of isotope 1 and the half-life of isotope 2. b. At time t = 10 years, which isotope is decaying at the greater rate? Explain your reasoning. c. What type of radiation (alpha, beta or gamma) would be most likely to escape through the container walls? d. What characteristics of the type of radiation named in part (c) distinguish it from the other two?

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Physics 420 Fall 2004 Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers.

Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers. 1. A charge q 1 = +5.0 nc is located on the y-axis, 15 µm above the origin, while another charge q