Given below are two statements:
Statement I: Ferromagnetism is considered as an extreme form of paramagnetism.
Statement II: The number of unpaired electrons in a $Cr^{2+}$ ion (Z = 24) is the same as that of a $Nd^{3+}$ ion (Z = 60).
In the light of the above statements, choose the correct answer from the options given below:
Statement I: Ferromagnetism is considered as an extreme form of paramagnetism.
In paramagnetism, the magnetic moments of individual atoms or ions are randomly oriented, but they tend to align with an external magnetic field. In ferromagnetism, there is spontaneous alignment of the magnetic moments, even in the absence of an external field, resulting in a much stronger magnetization.
Therefore, Ferromagnetism is considered as an extreme case of Paramagnetism, making the statement accurate.
Statement II: The number of unpaired electrons in a Cr2+ ion (Z = 24) is the same as that of a Nd3+ ion (Z = 60).
Cr (Chromium) has an electronic configuration of [Ar] 3d5 4s1. When it becomes Cr2+, it loses the 4s electron and one 3d electron giving [Ar] 3d4, resulting in four unpaired electrons.
Nd (Neodymium) has an electronic configuration of [Xe] 4f4 6s2. When it becomes Nd3+, it loses the two 6s electrons and one 4f electron giving [Xe] 4f3, resulting in three unpaired electrons.
Therefore, the number of unpaired electrons is incorrect.
Statement I is TRUE, statement II is FALSE.
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :