If the relative permittivity and permeability of a given material are `epsilon_(r )` and `mu_(r)` , respectively then, which among the following is correct for a diamagnetic material?

Options

A. `epsilon_(r) 1.5 , mu_(r ) = 1.5`
B. `epsilon_(r) 0.5 , mu_(r ) = 1.5`
C. `epsilon_(r) 1.5 , mu_(r ) = 0.5`
D. `epsilon_(r) 0.5 , mu_(r ) = 0.5`

Explanation

To solve the question regarding the properties of diamagnetic materials in terms of relative permittivity (\( \epsilon_r \)) and relative permeability (\( \mu_r \)), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Diamagnetic Materials**:
- Diamagnetic materials are characterized by their weak repulsion from magnetic fields. This means that they have a relative permeability (\( \mu_r \)) that is less than 1.
- In terms of electric fields, diamagnetic materials do not exhibit significant polarization, which means their relative permittivity (\( \epsilon_r \)) is typically close to 1.

2. **Analyzing Relative Permittivity (\( \epsilon_r \))**:
- For diamagnetic materials, the relative permittivity (\( \epsilon_r \)) is approximately equal to 1. This indicates that they do not significantly affect the electric field lines passing through them.

3. **Analyzing Relative Permeability (\( \mu_r \))**:
- The relative permeability (\( \mu_r \)) for diamagnetic materials is less than 1, indicating that they do not support magnetic field lines effectively.

4. **Conclusion**:
- Therefore, for a diamagnetic material, we can summarize:
- \( \epsilon_r \approx 1 \)
- \( \mu_r < 1 \)

5. **Identifying the Correct Option**:
- Among the given options, the one that correctly states that \( \epsilon_r \) is approximately 1 and \( \mu_r \) is less than 1 is the correct answer. Based on the analysis, option number two is the right answer.