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Multiple Choice
In the electronic structure of atoms, how many distinct orbitals exist in the subshell?
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Verified step by step guidance
1
Recall that the number of orbitals in any subshell is determined by the azimuthal quantum number \( l \), where the number of orbitals is given by \( 2l + 1 \).
Identify the type of subshell given: an \( f \) subshell corresponds to \( l = 3 \) (since \( s = 0, p = 1, d = 2, f = 3 \)).
Use the formula for the number of orbitals: \( 2l + 1 = 2 \times 3 + 1 \).
Calculate the number of orbitals without finalizing the numeric value, which will give the total distinct orbitals in the \( 5f \) subshell.
Understand that each orbital can hold up to 2 electrons, but the question only asks for the number of distinct orbitals, so focus on the result from the formula.