Question

If n=3 what are the quantum number l and m
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Answer 1

$\Huge{\underline{\underline{\mathfrak{Answer \colon}}}}$

Given

The principal number of the electron is 3

To find

1. Azimuthal Quantum Number
2. Magnetic Quantum Number

Azimuthal Quantum Number

• Denoted by "l"

• Shape of Orbital is determined by the very same

• Angular Momentum of an orbital is given by azimuthal quantum number

The values of "l" range from 0 to "n - 1"

$\boxed{\boxed{ \sf{l = n - 1}}}$

• We get the value of l as 2

Since the value of l is 2,the electron would be present in d - orbital

Likewise,

If l =

• 0 : s - orbital

• 1 : p - orbital

• 3 : f - orbital

Magnetic Quantum Number

• Denoted by "m"

• It determines the behaviour of an electron in a magnetic field

• Also determines its direction

"m" is given by:

$\boxed{ \boxed{ \sf{m = 2l \: + 1}}}$

• We obtain the value as m = 5