Question Details

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 Cr2+ ion (Z=24) is the same as that of a Nd3+ ion (Z= 60).


In the light of the above statements, choose the correct answer from the options given below:

Options

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but Statement II is false

D

Statement I is false but Statement II is true

Show Answer

Correct Answer :

Option C

Statement I is true but Statement II is false

Statement I is true but Statement II is false

Solution :

The correct answer is Statement I is true but Statement II is false.


Analysis of Statement I:
Paramagnetism is a property shown by substances that are weakly attracted by a magnetic field due to the presence of unpaired electrons, which align themselves in the direction of the magnetic field. In ferromagnetic materials, the magnetic moments of the atoms are grouped into domains. In the presence of an external magnetic field, these domains align strongly in the direction of the magnetic field, resulting in a very strong magnetization that can persist even after the external field is removed. Thus, ferromagnetism represents a highly ordered, spontaneous, and extreme alignment of magnetic moments, and it is considered an extreme form of paramagnetism. Therefore, Statement I is true.


Analysis of Statement II:
Let us find the number of unpaired electrons in Cr2+ and Nd3+ ions:
1. Chromium (Cr) has an atomic number of Z = 24. Its ground-state electronic configuration is:
[Ar]3d54s1
To form the Cr2+ ion, we remove two electrons (one from the 4s orbital and one from the 3d orbital):
Cr2+:[Ar]3d4
In the 3d subshell, there are 5 degenerate orbitals. According to Hund's rule, these 4 electrons will occupy 4 separate orbitals singly. Hence, the number of unpaired electrons in Cr2+ is 4.

2. Neodymium (Nd) has an atomic number of Z = 60. Its ground-state electronic configuration is:
[Xe]4f46s2
To form the Nd3+ ion, we remove three electrons (two from the 6s orbital and one from the 4f orbital):
Nd3+:[Xe]4f3
In the 4f subshell, there are 7 degenerate orbitals. The 3 electrons will occupy 3 separate orbitals singly. Hence, the number of unpaired electrons in Nd3+ is 3.

Since the number of unpaired electrons in Cr2+ (which is 4) is not equal to that of Nd3+ (which is 3), Statement II is false.

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