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 1If a transverse traveling wave in a string of density 7.26 grams/meter has wavelength 1.8 meters and the period of a cycle of the wave is .089 second, then what is the tension in the string?
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Problem Number 2Two sources separated by 5.2 meters emit waves with wavelength .64 meters emit waves in phase. The waves travel at identical velocities to a distant observer. At any point along the perpendicular bisector of the line segment connecting the two points, the two waves will arrive in phase an hence reinforce. At what nonzero angle with the perpendicular bisector will the first interference maximum be observed?
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Problem Number 3Beads, each with mass 8.2 grams, are located at a spacing of 25 cm along a light but strong string. At t = 0 bead A is moving in the y direction at .0928 m/s, and this bead is at at y position .0027 meters, while the bead to its right is at y position .0012 meters and the bead to its left at y position .0024 meters. The string tension is 19 Newtons, and the string lies along the x axis.
Find:
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Problem Number 4A string of length 9 meters is fixed at both ends. It oscillates in its fundamental mode with a frequency of 151 Hz and amplitude .71 cm. If its mass is 8 grams, then what tension is it under?
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Problem Number 5Find the frequencies of the first four harmonics of a standing wave in a uniform string of length 9 meters which is fixed at both ends under a tension of 35 Newtons, and which has mass 31 grams.
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Problem Number 6Traveling waves are set up in a pair of long strings by a single harmonic oscillator. The strings have identical mass densities of 6.3 grams / meter. Both strings terminate at a short bungee cord attached to a wall. The harmonic oscillator is attached to the other ends of the strings in such a way that one string is 5.3 meters longer than the other. If the oscillator has frequency 58 Hz:
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Problem Number 7If hearing threshold intensity is 10^-12 watts/m^2, then what is the intensity of a sound which measures 31 decibels?
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Problem Number 8A candle flame is 1.52 cm high and 10 cm from a circular mirror of radius 5 cm.