The variation of magnetic susceptibility ( ) with absolute temperature ( T ) is plotted for two different materials, X and Y. For material X, the graph is a rectangular hyperbola in the region where is positive. For material Y, the graph is a straight line parallel to the temperature axis in the region where is negative. Identify the magnetic nature of materials X and Y.

Step-by-step solution

For material X, the susceptibility is positive and varies inversely with absolute temperature ( T ) since the graph is a rectangular hyperbola. This behaviour obeys Curie's law ( 1 T ), which is a characteristic property of paramagnetic materials. For material Y, the susceptibility is negative and remains constant with temperature (a straight line parallel to the T -axis). This is a characteristic property of diamagnetic materials, as their susceptibility is independent of temperature. Therefore, material X is para