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Assertion: The electrical conductivity of a metal decreases with an increase in temperature due to an increase in the number of vacancies.
Reasoning: At high temperatures, the number of vacancies increases, which leads to a decrease in the density of electrons available for conduction.
Both Assertion and Reasoning are true, and Reasoning is the correct explanation of Assertion.
Both Assertion and Reasoning are true, but Reasoning is not the correct explanation of Assertion.
Assertion is true, but Reasoning is false.
Assertion is false, but Reasoning is true.
Answers (1)
The given Assertion and Reasoning both relate to the effect of temperature on the electrical conductivity of metals. Electrical conductivity is a measure of a material's ability to conduct electric current, which is influenced by various factors, including the number of free electrons available for conduction.The Assertion states that the electrical conductivity of a metal decreases with an increase in temperature due to an increase in the number of vacancies. This statement is true. At high temperatures, the thermal energy increases the vibrational motion of atoms in the crystal lattice, leading to the creation of vacancies or missing atoms. These vacancies act as defects in the crystal lattice, which can impede the movement of free electrons and decrease the electrical conductivity of the metal.The Reasoning provides an explanation for the Assertion, stating that at high temperatures, the number of vacancies increases, leading to a decrease in the density of electrons available for conduction. This statement is also true. The presence of vacancies reduces the density of available electrons for conduction, as these defects can trap and immobilize electrons. Therefore, an increase in the number of vacancies leads to a decrease in the electrical conductivity of the metal.Hence, both Assertion and Reasoning are true, and Reasoning is the correct explanation of Assertion. Therefore, the correct answer is (a). It is important to note that the effect of temperature on the electrical conductivity of metals can be more complex, and the exact nature of this relationship depends on various factors such as the type of metal, crystal structure, and other defects present in the crystal lattice.
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