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Assertion: The conductivity of an intrin...

Assertion: The conductivity of an intrinsic semiconductor depends on its temperature.
Reason The conductivity of an intrinsic semiconductor is slightly higher than that of a lightly doped p-type semiconductor.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true not but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "The conductivity of an intrinsic semiconductor depends on its temperature." - **Explanation**: In intrinsic semiconductors, the conductivity is primarily due to the movement of charge carriers (electrons and holes). As temperature increases, more electrons gain enough energy to jump from the valence band to the conduction band, thus increasing the number of charge carriers and, consequently, the conductivity. Therefore, this assertion is **true**. ### Step 2: Analyze the Reason The reason states that "The conductivity of an intrinsic semiconductor is slightly higher than that of a lightly doped p-type semiconductor." - **Explanation**: This statement is actually **false**. The conductivity of an intrinsic semiconductor is generally lower than that of a lightly doped p-type semiconductor. In lightly doped p-type semiconductors, the presence of holes (from the acceptor impurities) contributes to conductivity, which is typically higher than that of pure intrinsic semiconductors where the number of charge carriers is lower. ### Step 3: Conclusion Based on the analysis: - The assertion is **true**: The conductivity of an intrinsic semiconductor does depend on temperature. - The reason is **false**: The conductivity of an intrinsic semiconductor is not higher than that of a lightly doped p-type semiconductor. Thus, the correct answer to the question is that the assertion is true, but the reason is false. ### Final Answer The correct conclusion is that the assertion is true, and the reason is false. ---

To solve the question, we will analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "The conductivity of an intrinsic semiconductor depends on its temperature." - **Explanation**: In intrinsic semiconductors, the conductivity is primarily due to the movement of charge carriers (electrons and holes). As temperature increases, more electrons gain enough energy to jump from the valence band to the conduction band, thus increasing the number of charge carriers and, consequently, the conductivity. Therefore, this assertion is **true**. ### Step 2: Analyze the Reason ...
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