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 solve the question, we need to analyze both statements regarding semiconductors.

### Step-by-Step Solution:

1. **Understanding Statement I**:
- Statement I claims that "Electrical conductivity of semiconductors increases with rise in temperature."
- This is true because, in semiconductors, as the temperature increases, more electrons gain energy and can jump from the valence band to the conduction band, thereby increasing the number of charge carriers available for conduction.

...