Question

For a particle rotating in three dimensions, what is the degeneracy of the level with orbital angular momentum quantum number l = 2?

Answer 1

Degeneracy is defiend as the no of orbital having same energy.

If n ( principle quantum no) is same than 2l+1 is the no of orbital and all these orbital have same energy.

Hence for l=2 the value of 2(2)+1= 5.

Which means degeneracy is 5 and these five orbitals are d_{​​​​​​xy} , d_{​​​​​​xz,}   d_​yz, d_{​​​​​z}^​​​2 , d_{​​​​​​x2-y2.}