Question

If the magnetic susceptibility of a substance is 0.6, then the ratio of permeability of the substance and permeability of free space is

• A. 6:5
• B. 7:4
• C. 8:5
• D. 3:5

Hint:

The relation \( \mu_r = 1 + \chi \) connects magnetic properties. Remember \( \chi \) is dimensionless.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
We need to find the relative permeability \( \mu_r \), which is the ratio of the permeability of the substance \( \mu \) to that of free space \( \mu_o \).
Step 2: Key Formula or Approach:
Relative permeability \( \mu_r = 1 + \chi \), where \( \chi \) is the magnetic susceptibility. Also \( \mu_r = \frac{\mu}{\mu_o} \).
Step 3: Detailed Explanation:
Given \( \chi = 0.6 \). \[ \mu_r = 1 + 0.6 = 1.6 \] Convert to fraction: \[ \mu_r = \frac{16}{10} = \frac{8}{5} \] Thus, the ratio \( \frac{\mu}{\mu_o} = 8:5 \).
Step 4: Final Answer:
The ratio is 8:5.