science 8 term 4 / unit 3: earths history\n11. how many half - lives have occurred in a rock containing one…
science 8 term 4 / unit 3: earths history\n11. how many half - lives have occurred in a rock containing one - fourth parent material and three - fourths daughter material?\n3\n4\n1\n2
Answer
Explanation:
Step1: Understand half - life concept
The amount of parent material after (n) half - lives is given by (N = N_0\times(\frac{1}{2})^n), where (N_0) is the initial amount of parent material and (N) is the remaining amount.
Step2: Set up the equation
We are given that the fraction of parent material (N/N_0=\frac{1}{4}). So, (\frac{1}{4}=(\frac{1}{2})^n).
Step3: Solve for (n)
Since (\frac{1}{4}=\frac{1}{2^2}), then (n = 2).
Answer:
2