The reciprocal of resistance is conductance. If the unit of resistance is ohm, the unit of conductance will be

Options

A. ohm
B. volt
C. hmo
D. ohm `"metre"^(-1)`

Explanation

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

### Step 1: Understand the relationship between resistance and conductance.
Conductance (G) is defined as the reciprocal of resistance (R). This relationship can be expressed mathematically as:
\[ G = \frac{1}{R} \]

### Step 2: Identify the unit of resistance.
The unit of resistance is the ohm, which is represented by the symbol (Ω).

### Step 3: Determine the unit of conductance.
Since conductance is the reciprocal of resistance, we can express the unit of conductance in terms of the unit of resistance:
\[ \text{Unit of conductance} = \frac{1}{\text{Unit of resistance}} = \frac{1}{\Omega} \]

### Step 4: Simplify the unit of conductance.
The unit of conductance can be expressed as:
\[ \text{Unit of conductance} = \text{ohm}^{-1} \]
This is also commonly referred to as "per ohm."

### Step 5: Conclusion.
Therefore, the unit of conductance is:
\[ \text{Unit of conductance} = \text{per ohm} \]

### Final Answer:
The unit of conductance is per ohm (Ω⁻¹).

---