Which one of the following statement is false?

Options

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

Answer

To determine which statement is false among the given options regarding semiconductors, we will analyze each statement one by one.

### Step 1: Analyze Option A
**Statement:** Pure silicon doped with trivalent impurities gives a p-type semiconductor.

**Explanation:**
- Pure silicon (Si) has four valence electrons.
- When it is doped with trivalent impurities (which have three valence electrons, such as boron or aluminum), it creates "holes" in the silicon lattice.
- These holes act as positive charge carriers, making the material a p-type semiconductor.

**Conclusion:** This statement is true.

### Step 2: Analyze Option B
**Statement:** Majority charge carriers in n-type semiconductor are holes.

**Explanation:**
- N-type semiconductors are formed by doping silicon with pentavalent impurities (which have five valence electrons, such as phosphorus).
- In n-type semiconductors, the extra electron from the dopant becomes the majority charge carrier.
- Holes are the minority charge carriers in n-type semiconductors.

**Conclusion:** This statement is false.

### Step 3: Analyze Option C
**Statement:** Minority charge carriers in a p-type semiconductor are electrons.

**Explanation:**
- In a p-type semiconductor, the majority charge carriers are holes (created by trivalent doping), and the minority charge carriers are electrons.
- Therefore, this statement is true.

**Conclusion:** This statement is true.

### Step 4: Analyze Option D
**Statement:** The resistance of intrinsic semiconductor decreases with an increase in temperature.

**Explanation:**
- In intrinsic semiconductors, as temperature increases, more electrons gain enough energy to jump from the valence band to the conduction band, creating more charge carriers (both electrons and holes).
- This increase in charge carriers leads to a decrease in resistance.

**Conclusion:** This statement is true.

### Final Conclusion
After analyzing all the statements, we find that:
- Option A: True
- Option B: False
- Option C: True
- Option D: True

Thus, the false statement is **Option B**.