Question

Asked Feb 25, 2020

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Step 1

**Principal quantum number:**

n = 1 to ∞ (infinity).

n = 1,2,3,4,5…………..∞.

**Azimuthal or angular momentum quantum number:**

l = (n-1) values.

l = 0,1,2,3, up to (n-1)

**magnetic quantum number:**

m_{l} = -l to +l

**spin quantum number:**

m_{s} = -1/2 or +1/2.

Step 2- A. n = 2, l = 1

Principal quantum number:

n = 1 to ∞ (infinity).

n = 1,2,3,4,5…………..∞.

Azimuthal or angular momentum quantum number:

l = (n-1) values.

l =upto (2 -1) values= 0, 1

Therefore, given set of quantum numbers(n = 2, l = 1) are possible.

Possible quantum numbers are:

Shell n |
Subshell l |
Orientation m |
Spin m |

2 |
1 |
1, 0, +1 |
-1/2 or +1/2. |

Step 3: B. n = 3, l = 0.

Principal quantum number:

n = 1 to ∞ (infinity).

n = 1,2,3,4,5…………..∞.

Azimuthal or angular momentum quantum number:

l = (n-1) values.

l = upto (3 -1) values

l = 0, 1, 2.

Therefore, given set of quantum numbers(n = 3, l = 0.) are possible.

Possible quantum numbers are:

Shell n |
Subshell l |
Orientation ml |
Spin ms |

3 |
0 |
0 |
-1/2 or +1/2. |

...

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