Magnetic susceptibility of a diamagnetic substances

Options

A. increases with increase in temperature
B. increases with decrease in temperature
C. remains constant with change in temperature
D. none of these

Explanation

To determine the magnetic susceptibility of diamagnetic substances in relation to temperature, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Magnetic Susceptibility**:
- Magnetic susceptibility (χ) is a measure of how much a material will become magnetized in an applied magnetic field. For diamagnetic materials, this value is negative and typically small.

2. **Behavior of Diamagnetic Substances**:
- Diamagnetic substances are characterized by a very weak and negative susceptibility. This means that they are repelled by a magnetic field.

3. **Temperature Dependence**:
- The magnetic susceptibility of diamagnetic substances does not significantly change with temperature. Unlike paramagnetic and ferromagnetic materials, which show a dependence on temperature, the susceptibility of diamagnetic materials remains relatively constant.

4. **Graphical Representation**:
- If we were to plot a graph of magnetic susceptibility (y-axis) against temperature (x-axis), we would see that for diamagnetic substances, the curve would remain flat (constant) after a certain temperature range. This is because the magnetic properties of diamagnetic materials do not change with temperature.

5. **Conclusion**:
- Based on the above understanding, we conclude that the magnetic susceptibility of diamagnetic substances remains constant with changes in temperature.

### Final Answer:
The magnetic susceptibility of diamagnetic substances remains constant with change in temperature.