Reflection and absorption coefficient of a given surface at `0^@C` for a fixed wavelength are 0.5 (each). At the same temperature and wavelength the transmission (coefficient) of surface will be-

Options

A. 0.5
B. 1
C. zero
D. in between zero and one

Explanation

To find the transmission coefficient of a surface at a temperature of 0°C when the reflection and absorption coefficients are both given as 0.5, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Coefficients**:
- The reflection coefficient (α) represents the fraction of incident radiation that is reflected by the surface.
- The absorption coefficient (β) represents the fraction of incident radiation that is absorbed by the surface.
- The transmission coefficient (γ) represents the fraction of incident radiation that is transmitted through the surface.

2. **Use the Relationship**:
- The relationship among these coefficients is given by the equation:
\[ α + β + γ = 1 \]
- Here, α is the reflection coefficient, β is the absorption coefficient, and γ is the transmission coefficient.

3. **Substitute the Given Values**:
- From the problem, we know:
- α = 0.5 (reflection coefficient)
- β = 0.5 (absorption coefficient)
- Substitute these values into the equation:
\[ 0.5 + 0.5 + γ = 1 \]

4. **Solve for the Transmission Coefficient**:
- Combine the known coefficients:
\[ 1 + γ = 1 \]
- Now, isolate γ:
\[ γ = 1 - 1 \]
\[ γ = 0 \]

5. **Conclusion**:
- The transmission coefficient (γ) of the surface at 0°C for the given wavelength is 0.

### Final Answer:
The transmission coefficient of the surface is **0**.