Question

if m has seven values, the value of the azimuthal quantum number should be
A) 1
B)2
C)3
D)4

correct answer with explanation​

Answer 1

The value of azimuthal quantum number should be 3

Answer 2

Concept:

The shape of the orbital is described by the azimuthal quantum number.  Its value tells us about the number of angular nodes. A value of the azimuthal quantum number can represent a different-shaped s, p, d, or f subshell.

Given:

• m = seven values = 7

Find: Find the value of the azimuthal quantum number?

Solution:

The azimuthal quantum number can be represented by l.

m can be expressed as:

                                     m = (2l+1)

where l is the azimuthal quantum number.

m is the magnetic quantum number.

On rearranging the above expression. We get to know that the azimuthal number can be calculated as:

                                      $l = \frac{m-1}{2}$

By substituting the value of m in the above expression, we get

                                       $l = \frac{7-1}{2}$

                                       $l = \frac{6}{2}$

                                       $l = 3$

Therefore, the value of l = 3.

Hence, if m has seven values, the value of the azimuthal quantum number should be 3.

The correct option is (C) 3.

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