The unit of temperature gradient is

Options

A. `K/m`
B. `m/K`
C. K
D. Km

Answer

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

### Step 1: Understand the Definition
The temperature gradient is defined as the rate of change of temperature with respect to distance. This means it tells us how much the temperature changes as we move through space.

### Step 2: Identify the Variables
- **Change in Temperature (ΔT)**: The unit of temperature is Kelvin (K).
- **Distance (Δx)**: The unit of distance is meter (m).

### Step 3: Write the Formula
The formula for temperature gradient (∇T) can be expressed as:
\[ \text{Temperature Gradient} = \frac{\Delta T}{\Delta x} \]

### Step 4: Substitute the Units
Substituting the units into the formula gives us:
\[ \text{Temperature Gradient} = \frac{\text{Kelvin (K)}}{\text{Meter (m)}} \]

### Step 5: Express the Unit
This can be expressed as:
\[ \text{Temperature Gradient} = \text{K/m} \quad \text{or} \quad \text{Kelvin per meter} \]

### Conclusion
Therefore, the unit of temperature gradient is Kelvin per meter (K/m).

---