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Q.

Which of the following statements is correct for an electron having azimuthal quantum number l=2 ?

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a

The electron may be in the lowest energy shell.

b

The electron is in a spherical orbital.

c

The electron must have spin ms = +1/2

d

The electron may have a magnetic quantum number = -1

answer is D.

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Detailed Solution

Azimuthal quantum number is called Angular momentum quantum number.

 It is represented by letter l. It defines the shape of the orbital occupied by the electron and the angular momentum of the electron. 

For l=2 corresponding magnetic quantum numbers(ms)=−2,−1,0,1,2 and shape of the orbital is dumbbell shape  that corresponds to the the d orbital as EN​ α 1​/n2

Value of n for l=2, n=3. Therefore the energy of the subshell is lowest for l=2.

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