Time and Date Stamps (logged): 03:42:12 08-29-2008 ¯²Ÿ³±Ÿ°±¯·Ÿ±¸Ÿ±¯¯·
** Write clearly in dark pencil or ink, on one side of the paper only. **
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Constants:
| k = 9*10^9 N m^2 / C^2 | qE = 1.6 * 10^-19 C | h = 6.63 * 10^-34 J s |
| energy of n=1 orbital in hydrogen atom: -13.6 eV | k ' = 9 * 10^-7 T m / amp | atomic mass unit: 1.66 * 10^-27 kg |
| electron mass: 9.11 * 10^-31 kg | speed of light: 3 * 10^8 m/s | Avogadro's Number: 6.023 * 10^-23 particles/mole |
| Gas Constant: R = 8.31 J / (mole K) | proton mass: 1.6726 * 10^-27 kg | neutron mass: 1.6749 * 10^-27 kg |
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Problem Number 1A photon of 95.28419 nm electromagnetic radiation encounters an electron in the n = 2 orbital of a hydrogen atom, and causes it to 'jump' to the n = 3 orbital. What will be the wavelength of a photon which carries away any excess energy from the collision?
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Problem Number 2What will be the force on a segment of wire 13 cm long, carrying a current of 15 amps, in the presence of a .0079 Tesla magnetic field directed perpendicular to the segment? If the current is directed toward the North and the magnetic field vertically upward, what will be the direction of this force?
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Problem Number 3What is the flux of a magnetic field of magnitude 2.5 Tesla through a square loop with side 6.6 meters, if the field is perpendicular to the plane of the loop?
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Problem Number 4A beam of protons, each with rest mass about 1.6 * 10^-27 kg, are accelerated to near-light-speed velocities before entering a magnetic field of .6 Tesla. The magnetic field is directed perpendicular to the direction of the beam. Without taking account of the relativistic effect on mass, what should be the radius of curvature the protons if they are moving at 2.56 * 10^8 m/s as the beam passes through the magnetic field?
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Problem Number 5A beam consisting of 90 eV electrons (electron mass 9.11 * 10^-31 kg) is incident on a thin wafer of a crystal with layer spacing 2.8 Angstroms. Surprisingly we find that the electrons, which are particles, are scattered in such a way as to form an interference pattern identical to that of a wave. What will be the distance between central interference maxima at a distance of 10 cm from the wafer?
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Problem Number 6Find the magnitude of the magnetic field due to a straight current segment of length .062 m, at a distance of 8.2 meters from the segment, given that the vector from the midpoint of the segment to the point makes at angle 55 degrees with the segment, and that a current of .1 Amps flows in the segment.