In the year 2005 a picture supposedly painted by a famous ar
In the year 2005, a picture supposedly painted by a famous artist some time after 1715 but before 1765 contains 95.4 percent of its carbon-14 (half-life 5730 years).
From this information, could this picture have been painted by this artist?
Approximately how old is the painting? _______ years
From this information, could this picture have been painted by this artist?
Approximately how old is the painting? _______ years
Solution
t = [ln(N/N0)/(-0.693)*5730
Hence in this case t = (ln(95.4/100)/(-0.693))*5730
Hence age of painting = 389.372166 years
Hence we say this painting was made around the year 2005 - 389 = 1616
Hence the painting is not made by this artist
