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What is the shape of the orbital, whose “l” is 1?
  • a)
    Spherical
  • b)
    Dumbbell
  • c)
    Double dumbbell
  • d)
    Complex
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the shape of the orbital, whose “l” is 1?a)Spheric...
The azimuthal quantum number is given by “l”. When l =0, 1, 2, and 3, they are s-orbital, p-orbital, d-orbital, and f-orbital respectively. The shapes of s-orbital, p-orbital, d-orbital, and f-orbital are Spherical, Dumbbell, Double dumbbell, and Complex respectively.
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What is the shape of the orbital, whose “l” is 1?a)Spheric...
Understanding Orbital Shapes
When discussing atomic orbitals, the quantum number "l" (azimuthal quantum number) plays a crucial role in determining the shape of the orbital. In this context, when "l" equals 1, it indicates a specific type of orbital.

Orbital Types Based on "l" Value
- The value of "l" can take on integer values from 0 to n-1, where "n" is the principal quantum number.
- Each value of "l" corresponds to a different type of atomic orbital:
- **l = 0**: s orbital (spherical shape)
- **l = 1**: p orbital (dumbbell shape)
- **l = 2**: d orbital (double dumbbell shape)
- **l = 3**: f orbital (complex shape)

For l = 1: The Dumbbell Shape
- The p orbitals, which correspond to l = 1, are characterized by their dumbbell shape.
- This shape features two lobes on either side of the nucleus, resembling a figure-eight or a dumbbell.
- The orientation of the p orbitals can be along the x, y, or z axes, denoted as px, py, and pz, respectively.

Key Characteristics of p Orbitals
- **Shape**: Dumbbell-shaped with two lobes.
- **Nodal Plane**: There is a nodal plane where the probability of finding an electron is zero, located between the two lobes.
- **Electron Density**: The electron density is concentrated in the lobes, which affects chemical bonding and molecular geometry.
In summary, the orbital with l = 1 is indeed a p orbital, which is characterized by a dumbbell shape, making option 'B' the correct answer.
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