Sample 1Easy
Which quantum number defines the three-dimensional shape of an orbital?
- A
Principal quantum number
- B
Magnetic orbital quantum number
- C
Azimuthal quantum number
- D
Electron spin quantum number
Show the answer
The answer is C.The azimuthal (subsidiary or orbital angular momentum) quantum number l defines the shape of the orbital. The principal quantum number gives size and energy, and the magnetic quantum number gives spatial orientation.
- A.
The principal quantum number determines the size and largely the energy of the orbital.
- B.
The magnetic quantum number gives the orientation of the orbital, not its shape.
- D.
The spin quantum number refers to the orientation of the electron's spin, not to an orbital's shape.
NCERT: Class 11 Chemistry, Unit 2 (Structure of Atom), Quantum Numbers
Sample 2Medium
A boundary surface sketch of an atomic orbital shows four lobes of electron density lying in the xy plane, each lobe pointing between the x and y axes, with adjacent lobes of opposite sign and the xz and yz planes as nodal planes. Which description fits this orbital?
- A
3d_xy, with l = 2 and one angular node
- B
3d_xy, with l = 2 and two angular nodes
- C
3d_x²–y², with l = 2 and two angular nodes
- D
3p_x, with l = 1 and one angular node
Show the answer
The answer is B.Four lobes lying between the x and y axes in the xy plane describe the d_xy orbital, for which l = 2. The number of angular nodes equals l, so there are two, the xz and yz planes.
- A.
The number of angular nodes equals l, so a d orbital (l = 2) has two angular nodes, here the xz and yz planes.
- C.
The lobes of 3d_x²–y² lie along the x and y axes, not between them.
- D.
A p orbital has only two lobes and one nodal plane.
NCERT: Class 11 Chemistry, Chapter 2