Question

Which of the following option(s) is/are correct?

• A. ${\Psi }^2$ gives the probability of finding an electron in an orbital
• B. $5d_z^2$ has only 2 angular nodes
• C. Probability of finding electron on y=x and y=-x is zero in
  $4d_{x^2-y^2}$ orbital
• D. The radial part of the Schrodinger wave equation depends on the principal quantum number and the azimuthal quantum number but not on the magnetic quantum number

Answer 1

Answer: (B), (C), (D)

The radial part of the Schrodinger wave equation depends on the principal quantum number and the azimuthal quantum number but not on the magnetic quantum number

(a) ${\Psi }^2$ gives probability of finding an electron in a particular volume of space within an atom.
(b) The number of angular nodes = $l$, for the d subshell, $l$ = 2.
(c) $d_{x^2-y^2}$ orbitals lie on x axis and y axis.
(d) Radial wave function is only dependent on $n$ and $l$, while the angular wavefunction is only dependent on $l$ and $m$.