Simultaneous Eigenfunctions of Angular Momentum Operators L² and L_z are

The simultaneous eigenfunctions of angular momentum operators L² and L are
A. all of 2s, 2p_x, 2p_y and 2p_z orbitals
B. only 2s, 2p_x and 2p_y orbitals
B. only 2s and 2p_z orbitals
B. only 2p_z orbitals

[CSIR:NET/JRF June-2016]

2p_x and 2p_y are dependent on Φ and have m_l = ±1
but p_z is independent of Φ
So, [L² and L_z] = 0
and m_l = 0
s is also independent of Φ
So, [L² and L_z] = 0
m = 0 and l = 0
Thus the simultaneous eigenfunctions of angular momentum operators L² and L_z are only 2s and 2p_z Orbitals