`ML^(2)T^(-2)I^(-2)` is the dimensional formula for

Options

A. Self inductance
B. Magnetic induction
C. Magnetic moment
D. Electric conductance

Answer

To determine which physical quantity corresponds to the dimensional formula \( ML^2T^{-2}I^{-2} \), we will analyze the given options and compare their dimensional formulas.

### Step 1: Understand the given dimensional formula
The dimensional formula \( ML^2T^{-2}I^{-2} \) consists of:
- \( M \): mass
- \( L^2 \): area (length squared)
- \( T^{-2} \): inverse of time squared
- \( I^{-2} \): inverse of electric current squared

### Step 2: Analyze the options
We have four options to consider:
1. **Self-inductance**
2. **Magnetic induction**
3. **Magnetic moment**
4. **Electric conductance**

### Step 3: Find the dimensional formulas for each option
1. **Self-inductance**:
- The dimensional formula for self-inductance is \( ML^2T^{-2}I^{-2} \).

2. **Magnetic induction**:
- The dimensional formula for magnetic induction is \( ML^1T^{-2}I^{-1} \).

3. **Magnetic moment**:
- The dimensional formula for magnetic moment is \( ML^2T^0I^{-1} \).

4. **Electric conductance**:
- The dimensional formula for electric conductance is \( M^0L^0T^3I^2 \).

### Step 4: Compare the dimensional formulas
- From our analysis:
- Self-inductance: \( ML^2T^{-2}I^{-2} \) (matches our given formula)
- Magnetic induction: \( ML^1T^{-2}I^{-1} \) (does not match)
- Magnetic moment: \( ML^2T^0I^{-1} \) (does not match)
- Electric conductance: \( M^0L^0T^3I^2 \) (does not match)

### Conclusion
The dimensional formula \( ML^2T^{-2}I^{-2} \) corresponds to **self-inductance**.

### Final Answer
**Self-inductance**

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