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 problem of converting gauss to tesla, we need to understand the relationship between these two units of magnetic field strength.

### Step-by-step Solution:

1. **Understand the Units**:
- Gauss (G) is a unit of magnetic field strength in the CGS (centimeter-gram-second) system.
- Tesla (T) is the SI (International System of Units) unit of magnetic field strength.

2. **Know the Conversion Factor**:
- It is known that 1 tesla is equal to 10,000 gauss. This can be expressed mathematically as:
\[ 1 \, \text{T} = 10,000 \, \text{G} \]

3. **Convert Gauss to Tesla**:
- To find how many tesla is equal to 1 gauss, we can rearrange the conversion factor:
\[ 1 \, \text{G} = \frac{1}{10,000} \, \text{T} \]
- This can also be expressed in exponential form:
\[ 1 \, \text{G} = 10^{-4} \, \text{T} \]

4. **Determine the Value of x**:
- From the equation \(1 \, \text{G} = x \, \text{T}\), we can see that:
\[ x = 10^{-4} \]

5. **Final Answer**:
- Therefore, numerically, \(1 \, \text{gauss} = 10^{-4} \, \text{tesla}\).

### Conclusion:
Thus, the value of \(x\) is \(10^{-4}\).

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