Island Museum analyzes historical artifacts using one or more techniques described
below—all but one of which is performed by an outside laboratory—to obtain specific
information about an object’s creation. For each type of material listed, the museum
uses only the technique described:
Animal teeth or bones: The museum performs isotope ratio mass spectrometry (IRMS)
in-house to determine the ratios of chemical elements present, yielding clues as
to the animal’s diet and the minerals in its water supply.
Metallic ores or alloys: Inductively coupled plasma mass spectrometry (ICP-MS)
is used to determine the ratios of traces of metallic isotopes present, which differ
according to where the sample was obtained.
Plant matter: While they are living, plants absorb carbon-14, which decays at a
predictable rate after death; thus radiocarbon dating is
used to estimate a plant’s date of death.
Fired-clay objects: Thermoluminescence (TL) dating is
used to provide an estimate of the time since clay was fired to create the object.
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Island Museum has acquired a collection of metal, fired clay, stone, bone, and wooden
artifacts found on the Kaxna Islands, and presumed to be from the Kaxna Kingdom
of 1250–850 BC. Researchers have mapped all the mines, quarries, and sources
of clay on Kaxna and know that wooden artifacts of that time were generally created
within 2 years after tree harvest. There is, however, considerable uncertainty
as to whether these artifacts were actually created on Kaxna.
In analyzing these artifacts, the museum assumes that radiocarbon dating is accurate
to approximately ±200 years and TL dating is accurate to approximately ±100 years.
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For outside laboratory tests, the museum’s first-year budget for the Kaxna collection
allows unlimited IRMS testing, and a total of $7,000—equal to the cost of 4 TL
tests plus 15 radiocarbon tests, or the cost of 40 ICP-MS tests—for all
other tests. For each technique applied by an outside lab, the museum is charged
a fixed price per artifact.
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Among the Kaxna artifacts is a wooden box containing both a small fired-clay bead
and some river sediment containing clay and plant matter. Based on the museum’s
assumptions, which one of the following details about the bead can be determined
by applying one of the tests in the manner described?
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