Physics 2020 Summer 2001 Richard Ingebretsen FINAL EXAM Name:_____________________________________________ Student ID Number # __________________ Discussion Instructor (circle): Anderson A. Davis Flitcroft Pomeroy The fundamental frequency of a vibrating system is 400 Hz. For each of the following systems, give the three lowest frequencies (excluding the fundamental) at which standing waves can occur: 1. 2. 3. B. Bergeson a string fixed at both ends, a cylindrical pipe with both ends open, a cylindrical pipe with only one end open. The fundamental frequencies of two air columns are the same. Column A is open at both ends, while column B is open at only one end. The length of column A is 0.60 m. What is the length of column B? Physics 2020 Summer 2001 Richard Ingebretsen FINAL EXAM Name:_____________________________________________ Student ID Number # __________________ Discussion Instructor (circle): Anderson Bergeson Davis Flitcroft Pomeroy A. Three charges are located on the +x axis as follows: q1 = +25 :C at x = 0 m, q2 = +11 :C at x = +2.0 m, and q3 = +45 :C at x = +3.5 m. Find the electrostatic force (magnitude and direction) acting on q2. B. The circuit in the drawing contains five identical resistors. The 45 V battery delivers 58 W of power to the circuit. What is the resistance R of each resistor? Physics 2020 Summer 2001 Richard Ingebretsen FINAL EXAM Name:_____________________________________________ Student ID Number # __________________ Discussion Instructor (circle): Anderson Bergeson Davis Flitcroft Pomeroy A. In a television set, electrons are accelerated from rest through a potential difference of 19 kV. The electrons then pass through a 0.28 T magnetic field that deflects them to the appropriate spot on the screen. Find the magnitude of the maximum magnetic force that an electron can experience. [charge of an electron = 1.6022 × 10-19 C] B. The resistance of the primary and secondary coils of a transformer are 56 and 14 ƒ, respectively. Both coils are made from lengths of the same copper wire. The circular turns of each coil have the same diameter. Find the turns ratio Nx/Np. Physics 2020 Summer 2001 Richard Ingebretsen FINAL EXAM Name:_____________________________________________ Student ID Number # __________________ Discussion Instructor (circle): Anderson A. Davis Flitcroft Pomeroy Convex mirrors are being used to monitor the aisles in a store. The mirrors have a radius of curvature of 4.0 m. 1. 2. 3. B. Bergeson What is the image distance if a customer is 15 m in front of the mirror? Is the image real or virtual? If a customer is 1.6 m tall, how tall is the image? A nearsighted person has a far point located only 220 cm from his eyes. Determine the focal length of contact lenses that will enable him to see distant objects clearly. Physics 2020 Summer 2001 Richard Ingebretsen FINAL EXAM Name:_____________________________________________ Student ID Number # __________________ Discussion Instructor (circle): Anderson Bergeson Davis Flitcroft Pomeroy A. A Klingon spacecraft has a speed of 0.75 c with respect to the earth. The Klingons measure 37.0 h for the time interval between two events on the earth. What value for the time interval would they measure if their ship had a speed of 0.94 c with respect to the earth? B. A coin is located 20.0 cm to the left of a converging lens (f = 16.0 cm). A second, identical lens is placed to the right of the first lens, such that the image formed by the combination has the same size and orientation as the original coin. Find the separation between the lenses. Physics 2020 Summer 2001 Richard Ingebretsen FINAL EXAM Name:_____________________________________________ Student ID Number # __________________ Discussion Instructor (circle): Anderson Bergeson Davis Flitcroft Pomeroy A. During an X-ray examination, a person is exposed to the radiation at a rate of 3.1 × 10-5 grays per second. The exposure time is 0.10 s, and the mass of the exposed tissue is 1.2 kg. Determine the energy absorbed. B. An archeological specimen containing 9.2 g of carbon has an activity of 1.6 Bq. How old (in years) is the specimen? The natural abundance of 14 6 C is 1 in every 8.3 × 1011 atoms of carbon, and the half-life of 14 6 C is 5730 years.