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In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865 contains 96.5 percent of...Asked by Jake
In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865
contains 98.4 percent of its carbon-14 (half-life 5730 years).
(a) From this information, could this picture have been painted by this artist?
(b) Approximately how old is the painting
contains 98.4 percent of its carbon-14 (half-life 5730 years).
(a) From this information, could this picture have been painted by this artist?
(b) Approximately how old is the painting
Answers
Answered by
oobleck
you know that the fraction of C<sub><sub>14</sub></sub> after t years is
(1/2)^(t/5730)
So, now you just need to find t such that
(1/2)^(t/5730) = 0.984
and check to see whether that number of years fits the time period specified.
(1/2)^(t/5730)
So, now you just need to find t such that
(1/2)^(t/5730) = 0.984
and check to see whether that number of years fits the time period specified.
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