Which of the following statements are true?
(A) The subsidiary quantum number l describes the shape of the orbital occupied by the electron.
(B)
is the boundary surface diagram of the 2 pₓ orbital.
(C) The + and - signs in the wave function of the 2 pₓ orbital refer to charge.
(D) The wave function of 2 pₓ orbital is zero everywhere in the x y plane.
Choose the correct answer from the options given below :

Solution

Chemistry ma’am · 4 steps

Find the nodal plane of 2pₓ: it is the plane at right angles to the x-axis, and that settles B and D.

1. Statement A. The azimuthal (subsidiary) quantum number l fixes the shape of the orbital: l = 0 is spherical s, l = 1 is dumb-bell p. So A is true.
2. Statements B and D. The figure shows two lobes along the x-axis that meet at the nucleus, which is the boundary surface of 2pₓ, so B is true. The 2pₓ wave function is zero only where x = 0, which is the yz plane. The xy plane contains the x-axis, where the lobes lie, so D is false.
3. Statement C. The + and − signs on the lobes are the phase (sign) of the wave function ψ, not electric charge. The electron is negative in both lobes. So C is false.

   Statement	Key fact	Verdict
   A	l gives the orbital shape	true
   B	two lobes along the x-axis is 2pₓ	true
   C	signs mean phase of ψ, not charge	false
   D	nodal plane of 2pₓ is yz, not xy	false

4. So. Only A and B are true, which is option (a).

The idea to keep. A p orbital's nodal plane is the one that does not contain its own axis: pₓ has yz, p_y has xz, p_z has xy. Lobe signs are always wave-function phase, never charge.

Answer from the NTA final answer key. Solution by PrepWiser.