Time and Date Stamps (logged): 17:12:20 06-10-2020 °¶Ÿ°±Ÿ±¯¯µŸ°¯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 1Suppose that a closed system with a constant number of moles of an ideal gas and a constant temperature has a pressure of 111.9 kN/m^2 when the volume of the system is .67 m^3. What is the pressure when the volume is increased to 1.34 m^3?
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Problem Number 2A capacitor holds charge 6 `microC/Volt. It is in series with a resistance of 4230000 Ohms and a 41 volt source. When the capacitor holds a charge of 51 `microC, approximately how long will it take it to increase its charge by 1%?
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Problem Number 3How much energy will an electron in orbit about a hydrogen atom lose in a transition from orbit # 3 to orbit # 5, where orbits are counted from the closest outward? If this lost energy is carried away by a photon, what will be its wavelength?
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Problem Number 4.
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Problem Number 5What is the average force associated with 4300 * 10^6 particles, each of mass 6.884132E-08 Kg, colliding elastically with a wall at a velocity of 103.9 m/s, with directions randomly distributed in 3 dimensions? Assume that the wall is one of the walls of a rectangular 'box', separated by 1 meters from the wall parallel to it.
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Problem Number 6 122)A longitudinal wave is one in which the particles move parallel to the direction of motion. In this case, a sine wave will move each particle from its equilibrium position as dictated by a sine function.
If a longitudinal sine wave travels along the x axis at 90 m/s with a wavelength of .4 m and amplitude of particle motion equal to .23 meters, then what is the position vs. time function of a particle whose equilibrium position is at x = 4.3 meters? Assume that at time t = 0 the x = 0 particle is at its equilibrium position and moving in the positive direction.
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Problem Number 7Two uniform wires having circular cross-sections, both with the same length and made of identical material, are both maintained at the same potential difference and the same temperature. The first wire has diameter 3.6 mm, while the second has diameter 4.4 mm. If the current in the first wire is .9 amps, then what is the current in the second wire?
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Problem Number 8Find the magnitude of the magnetic field due to a straight current segment of length .033 m, at a distance of 3.7 meters from the segment, given that the vector from the midpoint of the segment to the point makes at angle 65 degrees with the segment, and that a current of 9.9 Amps flows in the segment.
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Problem Number 9If water flows at 4 m/s through a tube whose radius is .13 m, then what will be the flow speed if the tube narrows to radius 4.333333E-02 m?
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Problem Number 10What are the x and y components of the electric force on a charge of 6 `microC at the point (-19.01 m, 7 m), due to a charge of 1 `microC at (-17.01 m, 3 m)?
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Problem Number 11An alpha particle consists of two protons and two neutrons. The neutrons are slightly more massive than the protons, but the average mass of all the particles is reasonably close to 1.6 * 10^-27 kg. The fundamental charge is 1.6 * 10^-19 Coulomb. If a beam of alpha particles moving at 2.5 * 10^6 m/s enters a magnetic field of .0029 Tesla, with the velocity and field perpendicular to one another, what will be the radius of the circular path of the beam in the magnetic field?
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Problem Number 12Which isotopes of which elements in the table below might possibly decay into which isotopes of which other elements by means of alpha emission?
Which isotopes of which elements in the table below might possibly decay into which isotopes of which other elements by means of beta decay consisting of emission of a negative electron?
Which isotopes of which elements in the table below might possibly decay into which isotopes of which other elements by means of beta decay consisting of electron capture?
From the table below, determine at least one series of alpha and beta decays that will lead from uranium-238 to lead-206. Specify the two isotopes involved in each decay, and tell whether the process is an alpha or a beta decay.
particle or atom |
lead |
bismuth |
polonium |
radon |
radium |
thorium |
palladium |
uranium |
atomic number |
82 |
83 |
84 |
86 |
88 |
90 |
91 |
92 |
nucleons |
214 |
214 |
218 |
222 |
226 |
230 |
234 |
238 |
nucleons |
210 |
210 |
214 |
234 |
235 |
|||
nucleons |
206 |
209 |
210 |
234 |
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Problem Number 13If the distance between consecutive peaks of a wave is 3 meters, and if 20 peaks pass in a second, then how fast is the wave moving?
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Problem Number 14The potential gradient dV/dx in a circuit (or elsewhere) determines the force on a given charge. This can be understood through the example of the following problem:
From your results, state whether it is the potential gradient or the charge which determines the force.
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Problem Number 15A magnetic field of magnitude 6.4 Tesla passes through a square loop with side 3.1 meters, with the field perpendicular to the plane of the loop. The loop rotates at 5.5 Hz. What is the average magnitude of the voltage produced?