Which one of the following statement is ...

Which one of the following statement is false?

Pure Si doped with trivalent impurities gives ap-type semiconductor.

Majority earners in a n-type semiconductor are holes.

Minority carriers in a p-type semiconductor are electrons.

The resistance of intrinisic semiconductor decreases with increase of temperature.

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The correct Answer is:

To determine which statement is false among the provided options regarding semiconductors, we can analyze each statement step by step. ### Step-by-Step Solution: 1. **Understanding Doping in Semiconductors:** - Pure silicon is an intrinsic semiconductor with limited conductivity. To enhance its conductivity, we perform doping by adding impurities. - Doping can be of two types: trivalent (p-type) and pentavalent (n-type). 2. **Analyzing the First Statement:** - **Statement:** "Pure silicon doped with trivalent impurities gives a p-type semiconductor." - **Explanation:** Trivalent impurities (like aluminum) have three valence electrons. When added to silicon (which has four), they create "holes" (missing electrons), resulting in a p-type semiconductor. - **Conclusion:** This statement is **true**. 3. **Analyzing the Second Statement:** - **Statement:** "Majority carriers in n-type semiconductor are holes." - **Explanation:** In n-type semiconductors, pentavalent impurities (like phosphorus) are added, which provide extra electrons. Therefore, the majority carriers are electrons, not holes. - **Conclusion:** This statement is **false**. 4. **Analyzing the Third Statement:** - **Statement:** "Minority carriers in p-type are electrons." - **Explanation:** In p-type semiconductors, the majority carriers are holes, and the minority carriers are indeed electrons. This is correct. - **Conclusion:** This statement is **true**. 5. **Analyzing the Fourth Statement:** - **Statement:** "The resistance of an intrinsic semiconductor decreases with increase in temperature." - **Explanation:** As temperature increases, more electrons gain enough energy to jump from the valence band to the conduction band, increasing conductivity and thus decreasing resistance. - **Conclusion:** This statement is **true**. ### Final Conclusion: The false statement among the options is the second one: "Majority carriers in n-type semiconductor are holes." ---

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