The number of electron hole pairs in a semiconductor is proportional to where for germainium `triangleE=0.65` eV and the temperature increases form 280 K to 300 K find the percentage increase in the number of charge carriers

Explanation

To solve the problem of finding the percentage increase in the number of charge carriers in germanium as the temperature increases from 280 K to 300 K, we can follow these steps:

### Step 1: Understand the relationship
The number of electron-hole pairs (N) in a semiconductor is proportional to \( e^{-\frac{\Delta E}{2kT}} \), where:
- \( \Delta E \) is the energy gap (0.65 eV for germanium),
- \( k \) is the Boltzmann constant (\( 8.62 \times 10^{-5} \) eV/K),
- \( T \) is the temperature in Kelvin.

...