The unit of magnetic susceptiblity is

Options

A. H
B. Wb/m
C. A/m
D. None of these

Answer

To find the unit of magnetic susceptibility, we can follow these steps:

### Step 1: Understand the Definition
Magnetic susceptibility (χ) is defined as the ratio of magnetization (M) to the magnetic field intensity (H). Mathematically, this can be expressed as:
\[ \chi = \frac{M}{H} \]

### Step 2: Identify the Units
Next, we need to identify the units of magnetization (M) and magnetic field intensity (H):
- The unit of magnetization (M) is **Ampere per meter (A/m)**.
- The unit of magnetic field intensity (H) is also **Ampere per meter (A/m)**.

### Step 3: Substitute the Units into the Formula
Now, we substitute the units into the formula for magnetic susceptibility:
\[ \chi = \frac{M}{H} = \frac{\text{A/m}}{\text{A/m}} \]

### Step 4: Simplify the Units
When we divide the units, we find:
\[ \chi = \frac{\text{A/m}}{\text{A/m}} = 1 \]
This indicates that magnetic susceptibility is a dimensionless quantity, meaning it has no units.

### Step 5: Conclusion
Based on the above analysis, the unit of magnetic susceptibility is:
\[ \text{None of these (D)} \]