The forbidden energy band gap in conductors, semiconductors and insulators are `EG_(1), EG_(2)` and `EG_(3)` respectively. The relation among them is

Options

A. `EG_(1)=EG_(2)=EG_(3)`
B. `EG_(1) lt EG_(2) lt EG_(3)`
C. `EG_(1) gt EG_(2) gt EG_(3)`
D. `EG_(1) lt EG_(2) gt EG_(3)`

Explanation

To determine the relationship among the forbidden energy band gaps \(E_{G1}\), \(E_{G2}\), and \(E_{G3}\) for conductors, semiconductors, and insulators respectively, we need to analyze the characteristics of each type of material.

### Step 1: Understand the Energy Band Structure
- **Conductors**: In conductors (like metals), the conduction band and valence band overlap, which means there is no forbidden energy gap. Thus, we can say \(E_{G1} = 0\).

- **Semiconductors**: In semiconductors, there is a small forbidden energy gap, typically around 1 eV. Therefore, we have \(E_{G2} \approx 1 \text{ eV}\).

- **Insulators**: Insulators have a larger forbidden energy gap, which can be several eV (often greater than 3 eV). Thus, we can say \(E_{G3} > 3 \text{ eV}\).

### Step 2: Establish the Relationships
From the above analysis, we can establish the following relationships:
- Since \(E_{G1} = 0\) (for conductors),
- \(E_{G2} \approx 1 \text{ eV}\) (for semiconductors),
- \(E_{G3} > 3 \text{ eV}\) (for insulators).

Thus, we can summarize the relationships as:
\[ E_{G1} < E_{G2} < E_{G3} \]

### Final Relation
The final relation among the forbidden energy band gaps is:
\[ E_{G1} < E_{G2} < E_{G3} \]