Question

.If n is equal to 3, What are the values of quantum numbers l and m?

Answer 1

n=3  l=0  m=1(0)
        l=1   m=3(0,+1,-1)
        l=2   m=5(0,+1,-1,+2,-2)
m is calculated by the formula m=2l+1.

Answer 2

Answer: l = 0, 1 and 2.

m = -2, -1 , 0 and 1 and 2

Explanation:-

Principle Quantum Numbers : It describes the size of the orbital and the energy level. It is represented by n. Where, n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as $m_l$. The value of this quantum number ranges from $(-l\text{ to }+l)$. When l = 2, the value of $m_l$ will be -2, -1, 0, +1, +2.

For given value of n= 3, the possible values of l are 0 to n-1. Thus the values of l are 0, 1 and 2.

The possible values of m are -l to +l. Thus the values are m are 0, +1 . -1 , +2 and -2.