Numerically 1 gauss = x tesla, then x is

Options

A. `10^(-4)`
B. `10^(4)`
C. `10^(8)`
D. `10^(-3)`

Answer

To solve the question "Numerically 1 gauss = x tesla, then x is", we need to convert the unit of gauss to tesla using the known relationship between these two units.

### Step-by-step Solution:

1. **Understand the Units**:
- Gauss (G) and Tesla (T) are both units of magnetic field strength.
- 1 Tesla is a larger unit compared to 1 Gauss.

2. **Know the Conversion Factor**:
- The relationship between gauss and tesla is given by:
\[ 1 \text{ Gauss} = 10^{-4} \text{ Tesla} \]

3. **Set Up the Equation**:
- According to the problem, we can express this as:
\[ 1 \text{ Gauss} = x \text{ Tesla} \]
- From the conversion factor, we can substitute:
\[ x \text{ Tesla} = 10^{-4} \text{ Tesla} \]

4. **Solve for x**:
- By comparing both sides, we find:
\[ x = 10^{-4} \]

5. **Conclusion**:
- Therefore, the value of x is:
\[ x = 10^{-4} \]

### Final Answer:
- Numerically, \( 1 \text{ Gauss} = 10^{-4} \text{ Tesla} \), so \( x = 10^{-4} \).