The minimum equivalent conductance in fused state is shown by-

Options

A. `MgCI_(2)`
B. `BeCI_(2)`
C. `CaCI_(2)`
D. `SrCI_(2)`

Explanation

To determine which compound shows the minimum equivalent conductance in the fused state, we need to analyze the dissociation of the given compounds into ions. Here’s a step-by-step solution:

### Step 1: Understand Equivalent Conductance
Equivalent conductance (\( \Lambda \)) is a measure of the ability of an electrolyte to conduct electricity when dissolved in a solvent or in a fused state. It depends on the number of ions produced when the compound dissociates.

**Hint:** Remember that more ions lead to higher conductance.

### Step 2: Identify the Compounds
The compounds mentioned are:
- BeCl2 (Beryllium chloride)
- MgCl2 (Magnesium chloride)
- CaCl2 (Calcium chloride)
- SrCl2 (Strontium chloride)

**Hint:** List the compounds clearly to analyze their properties.

### Step 3: Analyze the Nature of Compounds
- **BeCl2**: This is a covalent compound and does not dissociate into ions in the fused state due to its strong covalent bonding and small ionic size.
- **MgCl2, CaCl2, SrCl2**: These are ionic compounds that dissociate into their respective ions when melted.

**Hint:** Consider the type of bonding in each compound to determine their dissociation behavior.

### Step 4: Determine the Ion Production
- **BeCl2**: Produces no ions in the fused state.
- **MgCl2**: Dissociates into \( Mg^{2+} \) and \( 2Cl^{-} \) (3 ions).
- **CaCl2**: Dissociates into \( Ca^{2+} \) and \( 2Cl^{-} \) (3 ions).
- **SrCl2**: Dissociates into \( Sr^{2+} \) and \( 2Cl^{-} \) (3 ions).

**Hint:** Count the total number of ions produced by each compound.

### Step 5: Compare Equivalent Conductance
Since BeCl2 does not dissociate into any ions, it will have the least equivalent conductance compared to the other ionic compounds, which dissociate into multiple ions.

**Hint:** The compound with no dissociation will have the minimum conductance.

### Conclusion
Thus, the compound that shows the minimum equivalent conductance in the fused state is **BeCl2**.

**Final Answer:** BeCl2