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 bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :