Answer:
The correct answer is:
5×5700 yr = 28,500 years (d)
Explanation:
The half life of an element/atom is the time is takes for that element/atom to decay to half of its original mass/size.
It was found that the carbon-14 atom had decayed until only of the original size is still remaining.
Now, let us first find how many half lives are in one-sixteenth, and that is =
. so it means that there are 4 half lives in one-sixteenth, and since one half life takes approximately 5700 years, therefore 4 half lives will take 4×5700 yr = 22, 800 years, but at this point (22,800 years ago)the fossil has already half-life, therefore the additional age is to add the number of years it took to decay that half life. hence the age of fossil is:
22,800 + 5700 = 28, 500 years