SSM A solid copper sphere whose radius is 1.0 cm has a very thin surface coating of nickel. Some of the nickel atoms are radioactive, each atom emitting an electron as it decays. Half of these electrons enter the copper sphere, each depositing 100 keV of energy there. The other half of the electrons escape, each carrying away a charge − e . The nickel coating has an activity of 3.70 × 10 8 radioactive decays per second. The sphere is hung from a long, nonconducting string and isolated from its surroundings. (a) How long will it take for the potential of the sphere to increase by 1000 V? (b) How long will it take for the temperature of the sphere to increase by 5.0 K due to the energy deposited by the electrons? The heat capacity of the sphere is 14 J/K.
SSM A solid copper sphere whose radius is 1.0 cm has a very thin surface coating of nickel. Some of the nickel atoms are radioactive, each atom emitting an electron as it decays. Half of these electrons enter the copper sphere, each depositing 100 keV of energy there. The other half of the electrons escape, each carrying away a charge − e . The nickel coating has an activity of 3.70 × 10 8 radioactive decays per second. The sphere is hung from a long, nonconducting string and isolated from its surroundings. (a) How long will it take for the potential of the sphere to increase by 1000 V? (b) How long will it take for the temperature of the sphere to increase by 5.0 K due to the energy deposited by the electrons? The heat capacity of the sphere is 14 J/K.
SSM A solid copper sphere whose radius is 1.0 cm has a very thin surface coating of nickel. Some of the nickel atoms are radioactive, each atom emitting an electron as it decays. Half of these electrons enter the copper sphere, each depositing 100 keV of energy there. The other half of the electrons escape, each carrying away a charge −e. The nickel coating has an activity of 3.70 × 108 radioactive decays per second. The sphere is hung from a long, nonconducting string and isolated from its surroundings. (a) How long will it take for the potential of the sphere to increase by 1000 V? (b) How long will it take for the temperature of the sphere to increase by 5.0 K due to the energy deposited by the electrons? The heat capacity of the sphere is 14 J/K.
One form of nuclear radiation, beta decay, occurs when a neutron changes into a proton, an electron and a neutral particle called a neutrino. When this change happens to a neutron within the nucleus of an atom, the proton remains behind in the nucleus while the electron and neutrino are ejected from the nucleus. The ejected electron is called a beta particle. One nucleus that exhibits beta decay is the isotope of hydrogen 3H, called tritium, whose nucleus consists of one proton (making it hydrogen) and two neutrons (giving tritium an atomic mass m = 3u). Tritium is radioactive, and it decays to helium.
Suppose an electron is ejected from a 3H atom, which has a radius of 1.000×10-14 m. The resulting 3He atom has the same radius as the 3H atom. What is the escape velocity of the electron ejected from the process?
Note: Your answer may be larger than the speed of light which is okay in this scenario. To solve this problem correctly we would need to use special relativity.
An alpha particle (which has two protons) is sent directly toward a target nucleus containing 92 protons.The alpha particle has an initial kinetic energy of 0.48 pJ.What is the least center-to-center distance the alpha particle will be from the target nucleus, assuming the nucleus does not move?
Alpha particles (having charges of 2e and masses of 6.64x10−27 kg) were fired toward a gold nucleus with charge 79e (you do not need to account for the electrons). An alpha particle, initially very far from the gold nucleus, is fired at 5.70x107 m/s directly toward the nucleus, as in the figure. (b) How close does the alpha particle get to the gold nucleus before turning around? (Assume the gold nucleus remains stationary.)
Alpha particles (having charges of 2e and masses of 6.64x10−27 kg) were fired toward a gold nucleus with charge 79e (you do not need to account for the electrons). An alpha particle, initially very far from the gold nucleus, is fired at 5.70x107 m/s directly toward the nucleus, as in the figure. (c) How much work is done stopping the alpha particle?
Alpha particles (having charges of 2e and masses of 6.64x10−27 kg) were fired toward a gold nucleus with charge 79e (you do not need to account for the electrons). An alpha particle, initially very far from the gold…
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