The E° value for the Mn3+/Mn2+ couple being more positive than that of Cr3+/Cr2+ or Fe3+/Fe2+ can be attributed to electronic configuration changes. This change highlights the special stability associated with the half-filled d-subshell of Mn2+. Let's analyze the changes in electronic configurations for these transitions:
Mn3+ (d4) to Mn2+ (d5): Manganese goes from a d4 to a d5 configuration, achieving a half-filled 3d subshell, known for stability due to symmetrical electron distribution.
Cr3+ (d3) to Cr2+ (d4): No special stability is achieved as the d4 state is less stable compared to a half-filled or full d-subshell.
Fe3+ (d5) to Fe2+ (d6): Iron moves from a half-filled d-subshell to a more than half-filled state, which doesn't provide additional stability.
This analysis demonstrates that the Mn3+ to Mn2+ transition uniquely benefits from the half-filled d5 stability, resulting in a more positive E° value. Therefore, the change in electronic configuration from d4 to d5 is responsible for the more positive E° value.
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:
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 :
A full wave rectifier circuit with diodes (\(D_1\)) and (\(D_2\)) is shown in the figure. If input supply voltage \(V_{in} = 220 \sin(100 \pi t)\) volt, then at \(t = 15\) msec:
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 :