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Question: The electronic configuration of lanthanides is: (A) \((n-2){{f}^{1-14}}(n-1){{d}^{0-1}}n{{s}^{2}}\...

The electronic configuration of lanthanides is:
(A) (n2)f114(n1)d01ns2(n-2){{f}^{1-14}}(n-1){{d}^{0-1}}n{{s}^{2}}
(B) (n2)f114(n1)d101ns2(n-2){{f}^{1-14}}(n-1){{d}^{10-1}}n{{s}^{2}}
(C) (n2)f114(n1)d10ns2(n-2){{f}^{1-14}}(n-1){{d}^{10}}n{{s}^{2}}
(D) (n2)d01(n1)f114ns2(n-2){{d}^{0-1}}(n-1){{f}^{1-14}}n{{s}^{2}}

Explanation

Solution

Lanthanides are separately located in the bottom of the periodic table. The lanthanide compounds are widely used in industries as a catalyst, reducing agents etc. Monazite is the chief rock from which lanthanides are extracted.

Complete answer:
The elements from Ce58C{{e}_{58}} to Lu71L{{u}_{71}} and from Th90T{{h}_{90}} to Lw103L{{w}_{103}} are known as inner transition elements. These elements are separately placed at the bottom of the periodic table. The first series that is from Ce58C{{e}_{58}} to La71L{{a}_{71}} lies in the 6th period and is known as lanthanides. The name lanthanides are given since these elements follow La57L{{a}_{57}}. The second series that is from Th90T{{h}_{90}} to Lw103L{{w}_{103}} lies in the 7th period and is known as actinides. The name actinides are given since these elements followAc89A{{c}_{89}}.
La57L{{a}_{57}} and Ac89A{{c}_{89}} show similarities in its properties. The last electrons in the atoms of these enters the f subshell belonging to an anti-penultimate shell that is (n2)th{{(n-2)}^{th}} shell, these elements are called f-block elements.
The valence shell electronic configuration of the atoms of the atoms of f-block elements can be represented as (n2)f014.(n1)d02ns2(n-2){{f}^{0-14}}.(n-1){{d}^{0-2}}n{{s}^{2}} which shows that in these elements the outermost three shells are partially filled while the remaining inner shells are completely filled.
The lanthanides are 4f-block elements and actinides are 5f-block elements.
The electronic configuration of La57L{{a}_{57}} is [Xe]544f05d16s2{{[Xe]}_{54}}4{{f}^{0}}5{{d}^{1}}6{{s}^{2}}. When we move across the period, the additional electron should occupy the vacant 4f orbitals and 5f orbitals should remain singly filled.
So, the electronic configuration of lanthanides is (n2)f014.(n1)d01ns2(n-2){{f}^{0-14}}.(n-1){{d}^{0-1}}n{{s}^{2}}.

From above discussion we can conclude that option A is the correct answer.

Note:
If we carefully observe the options we can figure out that option B and D is wrong, that is its representation itself wrong. As discussed above the electronic configuration of f-block is (n2)f014.(n1)d02ns2(n-2){{f}^{0-14}}.(n-1){{d}^{0-2}}n{{s}^{2}} so, option B is wrong. The electronic configuration of actinides is (n2)f014.(n1)d02ns2(n-2){{f}^{0-14}}.(n-1){{d}^{0-2}}n{{s}^{2}}.