Let `(Delta)E`denote the energy gap between the valence band and the conduction band.The population of conduction electrons (and of the holes)is roughly proportional to `e^(-Delta E//2kT).`Find the ratio of the concentration of conduction electrons in diamond to that in silicon at room tempareture 300K.`(Delta E)`for silicon is 1.1 ev and for diamond is 6.0eV.How many conduction electrons are likely to be in one cubic meter of diamond ?

Explanation

To solve the problem, we need to find the ratio of the concentration of conduction electrons in diamond to that in silicon at room temperature (300 K) and then determine how many conduction electrons are likely to be in one cubic meter of diamond.

### Step-by-Step Solution:

1. **Understanding the Formula**:
The population of conduction electrons (n) is given by the formula:
\[
n \propto e^{-\frac{\Delta E}{2kT}}
...