A solid copper sphere whose radius is 1.0 cm has a verythin surface coating of nickel. Some of the nickel atoms areradioactive, each atom emitting an electron as it decays. Halfof these electrons enter the copper sphere, each depositing 100 keVof energy there.The other half of the electrons escape, each carryingaway a charge e.The nickel coating has an activity of 3.70 *10^8 radioactivedecays per second. The sphere is hung from a long, nonconductingstring and isolated from its surroundings. (a) How longwill 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 increaseby 5.0 K due to the energy deposited by the electrons? The heatcapacity of the sphere is 14 J/K.
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.
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