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-A Radioactive Isotope $\mathrm { X }$ Is a By-Product of Nuclear Fission with a Half-Life Of a By-Product

question 273

Multiple Choice

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-A radioactive isotope $\mathrm { X }$ is a by-product of nuclear fission with a half-life of $28.7 \mathrm { yr }$ . After a nuclear accident, large areas surrounding the site were contaminated with isotope X. If 10 micrograms of $X$ is present in a sample, the function $A ( t ) = 10 \left( \frac { 1 } { 2 } \right) ^ { t / 28.7 }$ gives the amount $A ( t )$ , in micrograms, present after $t$ years. Evaluate the function for the given values of $t$ and interpret the meaning in context.
a. $A ( 57.4 ) \quad$ b. $A ( 100 )$

• A) a. After \(57.4\) years the amount of isotope \(X\) is \(2.5 \mu \mathrm { g }\).
• b. After 100 years the amount of isotope \(X\) is approximately \(1.138 \mu \mathrm { g }\).
• B) a. After \(57.4\) years the amount of isotope \(X\) is \(5 \mu \mathrm { g }\).
• b. After 100 years the amount of isotope \(X\) is approximately \(1.138 \mu \mathrm { g }\).
• C) a. After \(57.4\) years the amount of isotope \(X\) is \(5 \mu \mathrm { g }\).
• b. After 100 years the amount of isotope \(X\) is approximately \(0.894 \mu \mathrm { g }\).
• D) a. After \(57.4\) years the amount of isotope \(X\) is \(2.5 \mu \mathrm { g }\).
• b. After 100 years the amount of isotope \(\mathrm { X }\) is approximately \(0.894 \mu \mathrm { g }\).

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Definitions:

First Processing Department

The initial stage in a manufacturing process where raw materials begin their transformation into finished products.

Work in Process Inventory

The inventory account that tracks the costs of materials, labor, and overhead for products that are in the process of being manufactured but are not yet completed.

Weighted-Average Method

An inventory costing method that averages the cost of inventory items to determine the cost of goods sold and ending inventory.

Process Costing System

A process costing system is used in manufacturing environments where the products are indistinguishable from each other and allocates the production costs based on the processes involved.