# Which of the following sets of quantum numbers correctly represents a 4 p orbital? (a) n = 4, ℓ = 0, m ℓ = −1 (b) n = 4, ℓ = 1, m ℓ = 0 (c) n = 4 , ℓ = 2, m ℓ = 1 (d) n = 4 , ℓ = 1, m ℓ =2

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6.6, Problem 2RC
Textbook Problem
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## Which of the following sets of quantum numbers correctly represents a 4p orbital? (a) n = 4, ℓ = 0, mℓ = −1 (b) n = 4, ℓ = 1, mℓ = 0 (c) n = 4, ℓ = 2, mℓ = 1 (d) n = 4, ℓ = 1, mℓ =2

Interpretation Introduction

Interpretation: The set of quantum numbers that represents a 4p orbital is to be determined from the given option.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a) Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b) Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c) Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d) Spin quantum number is represented by ms and this number indicates the spin of the electron.

### Explanation of Solution

Reason for correct option

The values of l when the principal quantum number is n are from 0 to (n1) . Each value indicates subshell. The values of ml when the orbital angular quantum number is l are from l to +l . The principal quantum number is n=4 . Each value of l indicates subshell. For l=1 , it indicates d subshell. The possible values of ml are, ml=1,0,1 . Hence, n=4,l=1,ml=0  represents a 4p orbital.

Hence the correct option for the set of quantum numbers that represents a 4p orbital is option b

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