Dimensional formula of Intensity of magnetization is

Options

A. IL
B. `IL^(-2)`
C. `IL^(-1)`
D. `I^(-1)L`

Answer

To find the dimensional formula of the intensity of magnetization, we can follow these steps:

### Step 1: Understand the Definition
The intensity of magnetization (I) is defined as the magnetic moment (M) per unit volume (V). Therefore, we can express it mathematically as:
\[ I = \frac{M}{V} \]

### Step 2: Identify the Dimensional Formulas
Next, we need to find the dimensional formulas for both the magnetic moment (M) and the volume (V).

1. **Dimensional Formula of Magnetic Moment (M)**:
The magnetic moment has the dimensional formula given by:
\[ [M] = M^1 L^2 T^0 A^1 \]
where:
- M = mass
- L = length
- T = time
- A = electric current (Ampere)

2. **Dimensional Formula of Volume (V)**:
The volume is given by:
\[ [V] = L^3 \]

### Step 3: Substitute the Dimensional Formulas
Now, we can substitute the dimensional formulas into the equation for intensity of magnetization:
\[ [I] = \frac{[M]}{[V]} = \frac{M^1 L^2 T^0 A^1}{L^3} \]

### Step 4: Simplify the Expression
Now, we simplify the expression:
\[ [I] = M^1 L^{2-3} T^0 A^1 = M^1 L^{-1} A^1 \]

### Step 5: Write the Final Dimensional Formula
Thus, the final dimensional formula for the intensity of magnetization is:
\[ [I] = M^1 L^{-1} A^1 \]

### Conclusion
The dimensional formula of intensity of magnetization is:
\[ [I] = M^1 L^{-1} A^1 \]