To determine the second quantum number (also known as the azimuthal quantum number, [tex]\( l \)[/tex]) for one of the electrons in the 4p energy sublevel of bromine, we need to understand the quantum numbers and their significance.
The second quantum number, [tex]\( l \)[/tex], defines the shape of the orbital and can take integer values from 0 to [tex]\( n-1 \)[/tex], where [tex]\( n \)[/tex] is the principal quantum number (the first quantum number).
Different values of [tex]\( l \)[/tex] correspond to different types of orbitals:
- [tex]\( l = 0 \)[/tex] corresponds to an s orbital
- [tex]\( l = 1 \)[/tex] corresponds to a p orbital
- [tex]\( l = 2 \)[/tex] corresponds to a d orbital
- [tex]\( l = 3 \)[/tex] corresponds to an f orbital
For the sublevel in question, the notation "4p" indicates:
- The principal quantum number [tex]\( n \)[/tex] is 4, which tells us about the energy level.
- The letter "p" indicates the type of orbital, which in turn tells us the value of [tex]\( l \)[/tex].
From the provided information:
- The "p" orbital corresponds to [tex]\( l = 1 \)[/tex].
Thus, in the 4p energy sublevel, the azimuthal quantum number [tex]\( l \)[/tex] for bromine is [tex]\( 1 \)[/tex].
Therefore, the correct answer is:
C. [tex]\( l = 1 \)[/tex]
