Statement I : Electrical conductivity of semiconductors increases with rise in temperature.
Statement II : There is a small energy gap between conduction band and valence band.

Options

A. Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I
B. Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I
C. Statement I is correct but Statement II is incorrect
D. Statement II is correct but Statement I is incorrect

Explanation

To analyze the statements provided, we can break down the reasoning step by step:

### Step 1: Understanding Statement I
**Statement I:** "Electrical conductivity of semiconductors increases with rise in temperature."

- **Explanation:** In semiconductors, as the temperature increases, the thermal energy provided to the electrons allows some of them to gain enough energy to jump from the valence band to the conduction band. This results in an increase in the number of charge carriers (electrons) available for conduction, thereby increasing the electrical conductivity.

### Step 2: Understanding Statement II
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