The reflection coefficient R for a certain barrier tunneling problem is 0.80. The corresponding transmission coefficient T is

Options

A. 0.8
B. 0.6
C. 0.5
D. 0.2

Answer

To solve the problem, we need to find the transmission coefficient \( T \) given the reflection coefficient \( R \).

### Step-by-Step Solution:

1. **Understand the Relationship**: In quantum mechanics, particularly in tunneling problems, the reflection coefficient \( R \) and the transmission coefficient \( T \) are related by the equation:
\[ R + T = 1 \]
This means that the total probability of either reflection or transmission must equal 1.

2. **Identify the Given Value**: We are given that the reflection coefficient \( R \) is 0.80.

3. **Set Up the Equation**: Substitute the given value of \( R \) into the equation:
\[ 0.80 + T = 1 \]

4. **Solve for \( T \)**: Rearranging the equation to isolate \( T \):
\[ T = 1 - 0.80 \]

5. **Calculate \( T \)**:
\[ T = 0.20 \]

6. **Conclusion**: The corresponding transmission coefficient \( T \) is 0.20.

### Final Answer:
The corresponding transmission coefficient \( T \) is **0.20**.