Given below are two statements :
Statements -I A time varying electric field is a source of changing magnetic field and vice - versa . Thus a disturbance in electric or magnetic field creates EM waves . Statement II : In a material medium , the Em wave travels with speed `v = 1/(sqrt(mu_(0)epsilon_(0)))` .In the light of the above statements , choose the correct answer from the options given below .

Options

A. Both statement I and statement II are true
B. Both statement I and statement II are false
C. Statement I is correct but statement II is false
D. Statement I is incorrect but statement II is true

Answer

To solve the problem, we need to analyze the two statements provided and determine their correctness.

### Step 1: Analyze Statement I
- **Statement I**: "A time varying electric field is a source of changing magnetic field and vice versa. Thus a disturbance in electric or magnetic field creates EM waves."

According to Maxwell's equations, a time-varying electric field indeed produces a magnetic field, and a time-varying magnetic field produces an electric field. This is the basis for electromagnetic wave propagation. Therefore, this statement is true.

### Step 2: Analyze Statement II
- **Statement II**: "In a material medium, the EM wave travels with speed \( v = \frac{1}{\sqrt{\mu_0 \epsilon_0}} \)."

The speed of electromagnetic waves in a vacuum is given by \( v = \frac{1}{\sqrt{\mu_0 \epsilon_0}} \). However, in a material medium, the speed of EM waves is affected by the material properties, specifically the permeability \( \mu \) and permittivity \( \epsilon \) of the medium. The correct formula for the speed of EM waves in a medium is:
\[ v = \frac{1}{\sqrt{\mu \epsilon}} = \frac{1}{\sqrt{\mu_0 \mu_r \epsilon_0 \epsilon_r}} \]
where \( \mu_r \) and \( \epsilon_r \) are the relative permeability and permittivity of the medium, respectively. Therefore, this statement is false.

### Conclusion
- **Statement I** is true.
- **Statement II** is false.

Based on the analysis, the correct answer is that Statement I is true and Statement II is false.

### Final Answer
- The correct option is **3** (Statement I is true, Statement II is false).

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