The speed of electromagnetic waves in vacuum is -

(A) `sqrt(in_0mu_0)`
(B) 1/`sqrt(mu_0in_0)`
(C) `in_0mu_0`
(D) 1/`(in_0mu_0)`

Options

A. `(1)/sqrt(mu_(0)epsilon_(0))`
B. `sqrt(mu_(0)epsilon_(0))`
C. `mu_(0)epsilon_(0)`
D. `(1)/(mu_(0)epsilon_(0))`

Answer

To find the speed of electromagnetic waves in vacuum, we can use the relationship between the permittivity of free space (ε₀) and the permeability of free space (μ₀). The speed of electromagnetic waves (c) in vacuum is given by the formula:

\[ c = \frac{1}{\sqrt{\epsilon_0 \mu_0}} \]

### Step-by-step Solution:

1. **Understand the Constants**:
- ε₀ (epsilon naught) is the permittivity of free space.
- μ₀ (mu naught) is the permeability of free space.

2. **Write the Formula for Speed**:
- The speed of electromagnetic waves in vacuum is expressed as:
\[ c = \frac{1}{\sqrt{\epsilon_0 \mu_0}} \]

3. **Analyze the Options**:
- We need to compare this expression with the given options:
- (A) \( \sqrt{\epsilon_0 \mu_0} \)
- (B) \( \frac{1}{\sqrt{\mu_0 \epsilon_0}} \)
- (C) \( \epsilon_0 \mu_0 \)
- (D) \( \frac{1}{\epsilon_0 \mu_0} \)

4. **Identify the Correct Option**:
- From the formula \( c = \frac{1}{\sqrt{\epsilon_0 \mu_0}} \), we can see that this matches option (B) \( \frac{1}{\sqrt{\mu_0 \epsilon_0}} \).

5. **Conclusion**:
- Therefore, the correct answer is option (B).