PHY-1610: College Physics I
PHY-1620: College Physics II
400 points
Student’s Name:
Evaluation base on:
· Show your work,
· Diagram (if applicable),
· Use Standard Unit,
· Co
ect formula and modification if needed,
· Show all the mathematical steps,
· Answer with co
ect value and unit.
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1. Rocket observations show that dust particles in Earth’s upper atmosphere are often electrically charged. Find the distance separating two dust particles if each has a charge of 1e and the Coulomb force between them has magnitude 1.50*10-14 N.
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2. A proton accelerates from rest in a uniform electric field of 470. N/C. At some later time, its speed is 1.13*108 cm/s. (a) Find the magnitude of the acceleration of the proton. (b) How long does it take the proton to reach this speed? (c) How far has it moved in that interval? (d) What is its kinetic energy at the later time?
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3. An electron is released from rest in a uniform electric field of magnitude 365 N/C. Find (a) the electric force on the proton, (b) the acceleration of the proton, and (c) the distance it travels in 1.20 μs.
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4. In Rutherford’s famous scattering experiments that led to the planetary model of the atom, alpha particles (having charges of +2e and masses of 6.64*10-27 kg) were fired toward a gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 7.20*108 mm/s directly toward the nucleus, as in Figure shown below. How close does the alpha particle get to the gold nucleus before turning around? Assume the gold nucleus remains stationary.
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5. Find (a) the equivalent capacitance of the capacitors in Figure below, please show diagram in each step.
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6. A voltmeter connected across the terminals of a filament light bulb measures 120 V when an ammeter in line with the bulb registers a cu
ent of 0.735 A. (a) Find the resistance of the light bulb. (b) Find the resistivity of filament wire at the bulb’s operating temperature if the filament has an uncoiled length of 0.730 m and a radius of 1.62*10-5 m.
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7. Find out the equivalent resistor value of the combination of resistors shown in Figure below and show your work with diagram in each step.
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8. At the equator, near the surface of Earth, the magnetic field is approximately 55.0 μT northward, and the electric field is about 135 N/C downward in fair weather. Find the gravitational, electric, and magnetic forces on a particle having 2e (two electrons) with an instantaneous velocity of 3.57*106 m/s directed to the east in this environment.
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9. Consider the mass spectrometer shown schematically in Figure below. The electric field between the plates of the velocity selector is 9.50*102 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.930 T. Calculate the radius of the path in the system for a double-charged ion (2e) with mass m = 2.18 *10-26 kg.
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10. To monitor the
eathing of a hospital patient, a thin belt is girded around the patient’s chest as in Figure below. The belt is a 221-turn coil. When the patient inhales, the area encircled by the coil increases by 39.0 cm2. The magnitude of Earth’s magnetic field is 50.0 μT and makes an angle of 48.0° with the normal to the plane of the coil. Assuming a patient takes 1.64 s to inhale, find the magnitude of the average induced emf in the coil during that time.
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11. In one of NASA’s space tether experiments, a 29.0 km-long conducting wire was deployed by the space shuttle as it o
ited at 6.96*105 cm/s around Earth and across Earth’s magnetic field lines. The resulting motional emf was used as a power source. If the component of Earth’s magnetic field perpendicular to the tether was 16.0 μT, determine the maximum possible potential difference between the two ends of the tether.
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12. Find the energy of (a) a photon having a frequency of 15.0*1017 Hz and (b) a photon having a wavelength of 3.67*102 nm. Express your answers in units of electron volts, noting that 1 eV = 1.60*10-19 J.
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13. An object of height 7.35cm is placed 23.3 cm to the left of a converging lens with a focal length of 8.99 cm. Determine (a) the image location, (b) the magnification, and (c) the image height. (d) Is the image real or virtual? (e) Is the image upright or inverted?
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14. In a location where the speed of sound is 343 m/s, a 2.37*103 Hz sound wave impinges on two slits 35.7 cm apart. (a) At what angle is the first maximum located? (b) If the sound wave is replaced by 3.41 cm microwave, what slit separation gives the same angle for the first maximum? (c) If the slit separation is 1.31 μm, what frequency of light gives the same first maximum angle?
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15. A star is 19.0 light - years distance (Lp) from Earth. (a) At what constant speed (v) must a spacecraft travel on its journey to the star so that the Earth–star distance (L) measured by an astronaut onboard the spacecraft is 3.67 light - years?
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16. Earth’s average surface temperature is about 287 K. Assuming Earth radiates as a blackbody, calculate ?max (maximum wavelength) for the Earth.
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17. Calculate the energy, in electron volts (eV), of a photon whose frequency is (a) 487 THz, (b XXXXXXXXXXGHz, and (c XXXXXXXXXXMHz. (1T=1012, 1G=109, 1M=106; 1 eV = 1.60*10-19 J)
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18. The wavelengths of the Lyman series for hydrogen are given by
Calculate the wavelengths of the first three lines in this series.
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19. The so - called Lyman - α photon is the lowest energy photon in the Lyman series of hydrogen and results from an electron transitioning from the n = 4 to the n = 1 energy level. Determine (a) the energy in eV and (b) the wavelength in nm of a Lyman - α photon. (1 eV = 1.60*10-19 J)
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20. Find the energy (Q) released in the fission reaction, please use the table of Isotope (Appendix B in last of textbook) to find atomic mass unit (u) value of the co
esponding nuclei in the nuclear reaction.
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