Which of the following is the correct relation between gauss and Tesla ?

Options

A. 1 Gauss `= 10 ^(-4)` Tesla.
B. 1 Gauss `= 10^(-9)` Tesla.
C. 1 Gauss `= 10^(-8)` Tesla.
D. 1 Gauss `= 10^(-14)` Tesla.

Explanation

To find the correct relation between Gauss and Tesla, we need to understand the definitions of both units and their relationship.

### Step-by-Step Solution:

1. **Understand the Units**:
- Gauss (G) and Tesla (T) are both units of magnetic field strength.
- 1 Tesla is defined as 10,000 Gauss.

2. **Convert Tesla to Gauss**:
- Since 1 T = 10,000 G, we can express this as:
\[ 1 \text{ Gauss} = \frac{1 \text{ Tesla}}{10,000} \]

3. **Express in Exponential Form**:
- To express this in exponential form, we can write:
\[ 1 \text{ Gauss} = 10^{-4} \text{ Tesla} \]

4. **Identify the Correct Option**:
- Now, looking at the options provided:
1. \(1 \text{ Gauss} = 10^{-4} \text{ Tesla}\) (This is correct)
2. \(1 \text{ Gauss} = 10^{-9} \text{ Tesla}\) (Incorrect)
3. \(1 \text{ Gauss} = 10^{-8} \text{ Tesla}\) (Incorrect)
4. \(1 \text{ Gauss} = 10^{-14} \text{ Tesla}\) (Incorrect)

5. **Conclusion**:
- The correct relation between Gauss and Tesla is:
\[ 1 \text{ Gauss} = 10^{-4} \text{ Tesla} \]

### Final Answer:
The correct relation is \(1 \text{ Gauss} = 10^{-4} \text{ Tesla}\).

---