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 of Temperature Gradient
The temperature gradient is defined as the rate of change of temperature with respect to distance. It indicates how much the temperature changes as you move through space.

### Step 2: Express the Temperature Gradient Mathematically
The temperature gradient (∇T) can be expressed mathematically as:
\[ \text{Temperature Gradient} = \frac{\Delta T}{\Delta d} \]
where:
- \(\Delta T\) is the change in temperature.
- \(\Delta d\) is the change in distance.

### Step 3: Identify the Units of Temperature and Distance
- The unit of temperature (T) is Kelvin (K).
- The unit of distance (d) is meter (m).

### Step 4: Substitute the Units into the Formula
Now, substituting the units into the formula for the temperature gradient:
\[ \text{Unit of Temperature Gradient} = \frac{\text{Unit of } \Delta T}{\text{Unit of } \Delta d} = \frac{\text{K}}{\text{m}} \]

### Step 5: Conclusion
Thus, the unit of temperature gradient is Kelvin per meter (K/m).

### Final Answer
The unit of temperature gradient is Kelvin per meter (K/m).

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