If x is specific resistance of the electrolyte solution and y is the molarity of the solution, rthen `^^_(m)` is given by:

Options

A. `(1000x)/(y)`
B. `1000(y)/(x)`
C. `(1000)/(xy)`
D. `(xy)/(1000)`

Explanation

To solve the problem, we need to find the expression for molar conductance (denoted as `Λ_m`) in terms of specific resistance (x) and molarity (y) of the electrolyte solution.

### Step-by-Step Solution:

1. **Understanding Molar Conductance**:
Molar conductance (Λ_m) is defined as the conductivity (κ) of the solution multiplied by the volume of the solution divided by the number of moles of solute in that volume. The formula is:
\[ Λ_m = \frac{κ \times 1000}{y} \]
where:
- \( κ \) is the conductivity of the solution,
- \( y \) is the molarity of the solution (in mol/L).

2. **Relating Conductivity to Specific Resistance**:
The conductivity (κ) of the solution is the reciprocal of the specific resistance (x):
\[ κ = \frac{1}{x} \]

3. **Substituting Conductivity into Molar Conductance**:
Now, we substitute the expression for conductivity into the molar conductance formula:
\[ Λ_m = \frac{\frac{1}{x} \times 1000}{y} \]

4. **Simplifying the Expression**:
This simplifies to:
\[ Λ_m = \frac{1000}{xy} \]

5. **Final Expression**:
Thus, the molar conductance (Λ_m) in terms of specific resistance (x) and molarity (y) is given by:
\[ Λ_m = \frac{1000}{xy} \]

### Answer:
The molar conductance `Λ_m` is given by:
\[ Λ_m = \frac{1000}{xy} \]