Which one of the following statement is false?

Options

A. Pure Si doped with trivalent impurities gives ap-type semiconductor.
B. Majority earners in a n-type semiconductor are holes.
C. Minority carriers in a p-type semiconductor are electrons.
D. The resistance of intrinisic semiconductor decreases with increase of temperature.

Explanation

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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