The distribution of electrons in an orbit is obtained by ______.

n²

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2n²

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Solution

The correct option is D
2n²

The distribution of electrons in an orbit is obtained by2 $\times$ $n^{2}$ , where n is the number of orbit. For example: number of electrons in K shell i.e. in $1^{s t}$ orbit. Here n=1, by using 2 $\times$ $n^{2}$ we get maximum number of electrons in K-shell i.e. $1^{s t}$ shell = 2.

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The coefficient of $x^{n}$ in $\frac{(1 + x)^{2}}{(1 - x)^{3}}$ is :

{lim}_{n \to \infty} (\frac{n}{n^{2}} + \frac{n}{n^{2} + 1} + \frac{n}{n^{2} + 2^{2}} + . . . . . . + \frac{n}{2 n^{2} - 2 n + 1})

List - I	List - II
A) No of electrons present in an orbit	1) 2
B) Number of orbitals in an orbit	2) $n$
C) Number of electrons in an orbital	3) $n^{2}$
D) Number of sub shells in an orbit	4) $2 n^{2}$
	5) $n + 1$

lim n \to \infty [\frac{2 n}{2 n^{2} - 1} cos \frac{n + 1}{2 n - 1} - \frac{n}{1 - 2 n} \cdot \frac{n {(- 1)}^{n}}{n^{2} + 1}]

lim n \to \infty [\frac{2 n}{2 n^{2} - 1} cos \frac{n + 1}{2 n - 1} - \frac{n}{1 - 2 n} . \frac{n (- 1)^{n}}{n^{2} + 1}]

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