The graph between `chi` and T for paramagnetic material will be represented by

Options

A.
B.
C.
D.

Answer

To solve the question regarding the graph between susceptibility (χ) and temperature (T) for paramagnetic materials, we can follow these steps:

### Step 1: Understand the relationship between susceptibility and temperature
For paramagnetic materials, the susceptibility (χ) is inversely proportional to the temperature (T). This relationship can be mathematically expressed as:
\[ \chi \propto \frac{1}{T} \]
This means that as the temperature increases, the susceptibility decreases.

### Step 2: Analyze the implications of the relationship
Since χ is inversely proportional to T, we can infer that:
- At low temperatures, χ will be high.
- As the temperature rises, χ will drop, approaching zero as T approaches infinity.

### Step 3: Determine the nature of the graph
Given that χ decreases as T increases, the graph will have:
- A downward slope, indicating that as you move along the x-axis (increasing T), the value of χ on the y-axis decreases.

### Step 4: Identify the correct option
Based on the analysis, the graph will be a hyperbolic curve that slopes downwards. Therefore, the correct representation of the graph between χ and T for paramagnetic materials corresponds to the option that shows this inverse relationship.

### Conclusion
The correct answer is the option that depicts a downward slope, indicating that as temperature increases, susceptibility decreases.

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