Maia says that both lines on this position vs time graph show acceleration. Is she correct? Why or why not?
2 answers:
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Answer:
t = 23136 years old
Explanation:
The intensity of radiation obeys the exponential decay law.
(1)
Here:
λ is the radiation decay constant.
I is the intensity of radiation after t time.
I₀ is the initial intensity of radiation.
t is the time
Now, we know that the intensity of radiation is a 6% of what it would be in a freshly cut piece of wood, in other words:
(2)
Combining (2) with (1), we have:
(3)
Now, we just need to solve (3) for t.
(4)
and (5)
is the half-life.
In our case, we have ¹⁴C, so the
Finally, we can find t putting (5) in (4):
I hope it helps you!