Atomic Structure - Result Question 77
Match the Columns
The wave function, $\psi_n, l, m_l$ is a mathematical function whose value depends upon spherical polar coordinates $(r, \theta, \phi)$ of the electron and characterised by the quantum number $n, l$ and $m_l$. Here $r$ is distance from nucleus, $\theta$ is colatitude and $\phi$ is azimuth. In the mathematical functions given in the Table, $Z$ is atomic number and $a_0$ is Bohr radius.
(2017 Adv.)
53. For the given orbital in Column 1, the Only CORRECT combination for any hydrogen-like species is
(a) (II) (ii) (P)
(b) (I) (ii) (S)
(c) (IV) (iv) (R)
(d) (III) (iii) (P)
Show Answer
Answer:
Correct Answer: 53. (a)
Solution:
- Correct : $2 s$ orbital has one radial node.
No of radial node $=n-l-1=2-0-1=1$
Also, when radial part of wave function $(\psi)$ is plotted against " $r$ “, wave function changes its sign at node.
BETA
