Choose 2 of the following problems. Circle the ones you have…

Choose 2 of the following problems. Circle the ones you have chosen to do and write the Roman numeral beside the problem. You may also choose to do an additional problem as extra credit. Please mark this problem as EC. I. Two point charges are separated by a distance of 10.0 cm. q1 has a charge of – 25μC and q2 has a charge of +50 μC. Determine the direction and the magnitude of the electric field at a point P between the charges that is 2.0 cm from the negative charge.   II. A moving particle encounters a external field that does -3.9 x 10-16 J of work on it as it moves from point A to point B. The electric potential at point A is -55.0 V and the electric potential at point B is +27.0 V. What is the charge on the particle? III. (a) Calculate the capacitance on a parallel plate capacitor whose plates are 20 cm x 3.0 cm and are separated by a 1.0 mm air gap (κ = 1 for air). (b) What is the charge on each plate if a 12 V battery is connected across the two plates? IV. A transformer has 330 primary turns and 1340 secondary turns. The input voltage is 120 V and the output current is 15.0 A. What are the output voltage and the input current? V . A bat at rest sends out ultrasonic sound waves at 50.0 kHz and receives them returned from an object moving directly away from it at 25.0 m/s. What is the received sound frequency heard by the bat? VI. The outside mirror on the passenger side of a car is convex and has a focal length of -7.0 m. Relative to this mirror, a truck traveling in the rear has an object distance of 11 m. Find (a) the image distance of the truck and (b) the magnification of the mirror. VII. Light shines through a single slit whose width is 5.6 x 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.5 mm. What is the wavelength of the light? VII. In a Compton scattering experiment, the incident X-rays have a wavelength of 0.2685 nm and the scattered X-rays have a wavelength of 0.2703 nm. Through what angle are the X-rays scattered? IX. (a) What is the uncertainty in the energy of the muon? (b) What is the uncertainty in the mass of a muon given its lifetime of 2.20 x 10-6 s (Hint: Think of the mass defect and the binding energy equation with SI units.)? X. What is the wavelength capable of ionizing a hydrogen atom in the ground state? XI. What is the decay constant if 3.134 x 1018 nuclei in the original sample drops to 4.26 x 1011 nuclei in 6 months (1 month = 2.635 x 106 sec)?
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