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Electron Distribution in Different Orbits

Number of orb...

Question

Number of orbitals possible for n=3 energy shell is ______.

A

3

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B

5

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C

7

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D

9

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Solution

The correct option is D
9
$n = 3 (t h i r d e n e r g y s h e l l) l = n - 1 = 3 - 1 = 2 i . e ., l = 0, 1, 2$

l = 0, s-subshell-3s = 1 orbital(3s)

l =1, p-subshell-3p = 3 orbitals(3px,3py,3pz)

l = 2, d-subshell-3d = 5 orbitals $(3 d_{x y}, 3 d_{y z}, 3 d_{x z}, 3 d_{x} 2_{- y} 2, 3 d_{z} 2)$

The total number of orbitals is equal to $1 + 3 + 5 = 9.$

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