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Which of the following is associated wit...

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

A

Spherical

B

Tetrahedral

C

Dumb-shell

D

Pyramidal

Text Solution

AI Generated Solution

The correct Answer is:
To determine which orbital is associated with the quantum numbers \( n = 2 \) and \( l = 1 \), we can follow these steps: ### Step 1: Understand the Quantum Numbers - The principal quantum number \( n \) indicates the energy level or shell of the electron. In this case, \( n = 2 \) means we are looking at the second energy level. - The azimuthal quantum number \( l \) defines the shape of the orbital. The values of \( l \) correspond to different subshells: - \( l = 0 \) corresponds to the s subshell - \( l = 1 \) corresponds to the p subshell - \( l = 2 \) corresponds to the d subshell - \( l = 3 \) corresponds to the f subshell ### Step 2: Identify the Subshell - Given that \( l = 1 \), we can conclude that the subshell is a p subshell. ### Step 3: Determine the Shape of the Orbital - The p subshell has a characteristic shape known as a "dumbbell" shape. This is a defining feature of p orbitals. ### Conclusion - Therefore, the orbital designated by \( n = 2 \) and \( l = 1 \) is associated with a p orbital, which has a dumbbell shape. ### Final Answer - The correct option is: **Dumbbell shape**. ---
To determine which orbital is associated with the quantum numbers \( n = 2 \) and \( l = 1 \), we can follow these steps: ### Step 1: Understand the Quantum Numbers - The principal quantum number \( n \) indicates the energy level or shell of the electron. In this case, \( n = 2 \) means we are looking at the second energy level. - The azimuthal quantum number \( l \) defines the shape of the orbital. The values of \( l \) correspond to different subshells: - \( l = 0 \) corresponds to the s subshell - \( l = 1 \) corresponds to the p subshell - \( l = 2 \) corresponds to the d subshell ...
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Knowledge Check

  • In which of the following systems will the radius of the first orbit (n = 1) be minimum ?

    A
    doubly ionized lithium
    B
    singly ionized helium
    C
    deuterium atom
    D
    hydrogen atom

  • In a multi-electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric fields ? (A) n=1, l=0 m=0, (B) n=2, l=0, m=0 (c) n=2, l=1, m=1 (d) n=3, l=2, m=1 (e) n=3, l=2, m=0

    A
    D and E
    B
    C and D
    C
    B and C
    D
    A and B

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