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If the resistivity of copper is less than that of gold at room temperature, which of the following statements must be true?

1) The conductivity of copper is greater than that of gold at room temperature.
2) The resistance of copper is greater than that of gold at room temperature.
3) The resistivity of copper is equal to that of gold at room temperature.
4) The resistivity of copper is greater than that of gold at room temperature.

1 Answer

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Final answer:

If the resistivity of copper is less than that of gold at room temperature, it means that copper offers less resistance to the flow of electrical current compared to gold.

Step-by-step explanation:

The resistivity of a material is a measure of how strongly a material opposes the flow of electrical current. Therefore, if the resistivity of copper is less than that of gold at room temperature, it means that copper offers less resistance to the flow of electrical current compared to gold.

Based on this information, statement 1 must be true because if copper has lower resistivity, it means it has higher conductivity than gold.

On the other hand, statement 2 must be false because if copper has lower resistivity, it means it has lower resistance than gold.

Statement 3 must also be false because the resistivity of copper is not equal to that of gold at room temperature. Statement 4 must be false because the resistivity of copper is less than that of gold at room temperature, not greater.

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