32. if the half - life of the parent isotope (blue dots) is 2000 years, how old is the rock after 3 half…

32. if the half - life of the parent isotope (blue dots) is 2000 years, how old is the rock after 3 half - lives?\n2000 years\n6000 years\n4000 years\n8000 years

32. if the half - life of the parent isotope (blue dots) is 2000 years, how old is the rock after 3 half - lives?\n2000 years\n6000 years\n4000 years\n8000 years

Answer

Explanation:

Step1: Identify half - life formula

The age of a rock based on half - lives is given by $Age = n\times t_{1/2}$, where $n$ is the number of half - lives and $t_{1/2}$ is the half - life of the parent isotope.

Step2: Substitute values

Here, $n = 3$ (number of half - lives) and $t_{1/2}=2000$ years (half - life of the parent isotope). So, $Age=3\times2000$.

Step3: Calculate age

$Age = 6000$ years.

Answer:

6000 years