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Shapes of Orbitals and Nodes

An orbital ma...

Question

An orbital made of four lobes can have the following quantum numbers:

A

n = 2, l = 2, m = 0

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B

n = 3, l = 1, m = -2

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C

n = 3, l = 2, m = 0

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D

n = 3, l = 3, m = -3

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Solution

The correct option is C n = 3, l = 2, m = 0
As per Quantum mechanical model,
if the principal quantum number is n, the orbital quantum number is l, the magnetic quantum number as m,
then $0 \leq l < n$ and $- l \leq m \leq l$ .
Since the orbital has four lobes, it is the d orbital i.e. $l = 2$ .

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