Assume transmitivity `t rarr 0` for all the cases:

Options

A. bad absrober is bad emitter
B. bad absorber is good reflector
C. bad reflector is good emitter
D. bad emitter is good absorbed

Explanation

To solve the question regarding the relationship between emissivity, absorptivity, and reflectivity, we will analyze the given statements based on the principles of heat transfer and thermodynamics.

### Step-by-Step Solution:

1. **Understanding Emissivity and Absorptivity**:
- Emissivity (E) is defined as the ratio of the radiation emitted by a surface to the radiation emitted by a black body at the same temperature. Mathematically, it can be expressed as:
\[ E = \frac{Q_{\text{absorbed}}}{Q_{\text{total}}} \]
- Where \( Q_{\text{absorbed}} \) is the heat absorbed by the surface and \( Q_{\text{total}} \) is the total incident heat.

2. **Heat Absorption Calculation**:
- If \( Q_1 \) is the total heat incident on the surface and \( Q_2 \) is the heat that is reflected, then the heat absorbed \( Q_{\text{absorbed}} \) can be calculated as:
\[ Q_{\text{absorbed}} = Q_1 - Q_2 \]

3. **Emissivity in Terms of Incident Heat**:
- Substituting the expression for \( Q_{\text{absorbed}} \) into the emissivity formula gives:
\[ E = \frac{Q_1 - Q_2}{Q_1} = 1 - \frac{Q_2}{Q_1} \]

4. **Analyzing the Statements**:
- **Statement 1**: "Bad absorber is a bad emitter."
- This is true because if a surface does not absorb heat well (bad absorber), it will also not emit heat well (bad emitter). Thus, this statement is correct.

- **Statement 2**: "Bad absorber is a good reflector."
- This is also true. If a surface does not absorb heat, it must reflect most of it, making it a good reflector. Thus, this statement is correct.

- **Statement 3**: "Bad reflector is a good emitter."
- This statement is true as well. A bad reflector means that it does not reflect heat effectively, implying that it absorbs heat well, which correlates with being a good emitter. Thus, this statement is correct.

- **Statement 4**: "Bad emitter is a good absorber."
- This statement is incorrect. A bad emitter indicates that the surface does not emit heat well, which also implies that it does not absorb heat well. Thus, this statement is incorrect.

5. **Conclusion**:
- From the analysis, we conclude that statements 1, 2, and 3 are correct, while statement 4 is incorrect.

### Final Answer:
- Correct Statements: 1, 2, 3
- Incorrect Statement: 4