Question

which information can be determined using half - life?
age of material
type of particle released
percentage of rock that has aged
number of radioactive particles left

Explanation:

Half - life is used in radiometric dating. The formula for radioactive decay is \(N = N_0(\frac{1}{2})^{\frac{t}{T}}\), where \(N\) is the amount of radioactive substance at time \(t\), \(N_0\) is the initial amount, and \(T\) is the half - life. By measuring the ratio of parent (radioactive) to daughter (decay product) isotopes and knowing the half - life of the parent isotope, we can calculate the age (\(t\)) of the material. The type of particle released is determined by the type of radioactive decay (alpha, beta, gamma). The percentage of rock that has "aged" is not a standard concept related to half - life in a direct way as we calculate the actual age. While the number of radioactive particles left can be related to half - life through the decay formula, the most common and important use of half - life is to determine the age of a material (e.g., in carbon - dating for organic materials or uranium - lead dating for rocks).

Answer:

age of material