Question:

The quantum number which describes the shape of an atomic orbital is indicated by the symbol

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To remember the sequence, think of an address: $n$ is the City (Size/Energy), $l$ is the Street (Shape), $m_l$ is the House Number (Orientation), and $m_s$ is the Person (Spin).
  • $l$
  • $m$
  • $m_s$
  • $n$
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The Correct Option is A

Solution and Explanation

The behavior and location of electrons in an atom are described by four quantum numbers. Each number provides specific information about the orbital. 1. Principal Quantum Number ($n$): Indicates the main energy level or shell and determines the size of the orbital.

2. Azimuthal (Subsidiary) Quantum Number ($l$): This is the quantum number asked for in the question. It describes the

shape of the orbital and defines the subshell (s, p, d, f).

• $l = 0$: s-orbital (spherical)

• $l = 1$: p-orbital (dumb-bell)

• $l = 2$: d-orbital (double dumb-bell)

3. Magnetic Quantum Number ($m$ or $m_l$): Describes the orientation of the orbital in three-dimensional space.

4. Spin Quantum Number ($m_s$): Describes the direction of electron spin (clockwise or anti-clockwise). Therefore, the symbol $l$ represents the quantum number describing the orbital's shape.
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