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The following quantum numbers are possib...

The following quantum numbers are possible for how many orbitals `(s) n = 3, l = 2, m = + 2` ?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `n=3, l=2, m=+2`, s`=pm 1//2`
These values of quantum numbers are possible for only one of the five 3d-orbitals as +2 value of m is possible only for one orbital.
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The electron are distributed around the nucleus in various energy levels shells, subshells and orbitals. A set of quantum numbers completely describe the position and total energy of electron in an atom. The various permitted values of quantum numbers are : principal, n = 1,2,3,4...... azimuthal , l = 0,1,2,....(n -1) magnetic, m_l = -l .....0 .....+ l spin, m_s = +1//2 and -1//2 . Is the following set of quantum numbers possible or not ? n = 3, l = 2, m = 0, s = -1//2 .

How many electrons in a given atom can have the following quantum numbers ? (a) n = 3, l = 1 (b) n = 3, l = 2, m_l = 0 (c ) n = 3, l = 2, m_l = +2, m_s = + 1/2 (d) n = 3 .

Explain given reasons, which of the following sets of quantum numbers are not possible. {:((a) n = 0 ",", l = 0",", m_l=0",", m_s = + 1//2),((b) n = 1 ",", l = 0",", m_l=0",", m_s = - 1//2),((c) n = 1 ",", l = 1",", m_l=-0",", m_s = + 1//2),((d) n = 2 ",", l = 1",", m_l=0",", m_s = - 1//2),((e) n = 3 ",", l = 3",", m_l=-3",", m_s = + 1//2),((f) n = 3 ",", l = 2",", m_l=0",", m_s = + 1//2):}

Using the s,p,d notations, describe the orbital with the following quantum numbers : (a) n = 1, l = 0 " " (b) n = 3, l = 2 (c ) n = 3, l = 1 " " (d) n = 2, l = 1 (e ) n = 4, l = 3 " " (f) n = 4, l = 2 .

Describe the orbital with the following quantum numbers : (i) n = 1, l = 0 " " (ii) n = 2, l = 1, m = 0 (iii) n = 3, l = 2 " " (iv) n = 4, l = 1 (v) n = 3, l = 0, m = 0 " " (vi) n = 3, l = 1 .

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