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Which shape is associated with the orbi...

Which shape is associated with the orbital designated by `n = 2,l = 1 `?

A

spherical

B

tetrahedral

C

dumb-bell

D

pyramidal

Text Solution

AI Generated Solution

The correct Answer is:
To determine the shape associated with the orbital designated by \( n = 2 \) and \( l = 1 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify Quantum Numbers**: - The principal quantum number \( n = 2 \) indicates the energy level of the electron in the atom. - The azimuthal quantum number \( l = 1 \) indicates the type of orbital. 2. **Determine the Orbital Type**: - The value of \( l \) corresponds to different types of orbitals: - \( l = 0 \) corresponds to s orbitals (spherical shape). - \( l = 1 \) corresponds to p orbitals (dumbbell shape). - \( l = 2 \) corresponds to d orbitals. - \( l = 3 \) corresponds to f orbitals. - Since \( l = 1 \), we have a p orbital. 3. **Visualize the Shape of the p Orbital**: - The p orbital has a characteristic dumbbell shape. It consists of two lobes that are oriented in space, typically along the x, y, or z axes (e.g., \( p_x \), \( p_y \), \( p_z \)). 4. **Conclusion**: - The shape associated with the orbital designated by \( n = 2 \) and \( l = 1 \) is a **dumbbell shape**. ### Final Answer: The shape associated with the orbital designated by \( n = 2 \) and \( l = 1 \) is a **dumbbell shape**. ---

To determine the shape associated with the orbital designated by \( n = 2 \) and \( l = 1 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify Quantum Numbers**: - The principal quantum number \( n = 2 \) indicates the energy level of the electron in the atom. - The azimuthal quantum number \( l = 1 \) indicates the type of orbital. ...
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