Test: Quantum Mechanical Model of Atom (April 25) - JEE MCQ

For 1s-orbital radial wave function (Ft) is maximum at r - 0, and falls rapidly as r increases thus, (a) correct.
For2s-orbital, radial wave function (R) is maximum at (r = 0), falls to zero and further decreases with r. There appears radial nodes. Thus (b) correct.
For2p-orbital, radial wave function is zero at r = 0, reaches maximum value (at r = a₀) and then falls thus (c) is correct.

(a) Describes radial wave function as a function of r for 1s
(b) Describes radial probability function as a function of r for 2s
(c) Describes radial wave function as a function r for 2s
(d) Describes radial probability function as a function of r for 2p

 Thus, is d e pendent on r true

(b) and | | are dependent on r, θ and  : true
(c) Angular wave function is determined by /land m, and not by n: true

3s is spherically symmetrical and its electron density is maximum at the nucleus. It decreases with r.

Angular nodes in 4s = 0

Radial probability density = 4πr² of find in g the electron within the volume of a very thin spherical shell at a distance r from nucleus.

For n nodes in a string

The wave function describ es properties of the orbital and the electron that occupies the orbital
(a) Type of orbital is described : true
(b) Energy of electron : true
(c) Shape of the orbital: true
(d) Probability: true

Radial probability increases as r increase reaches a maximum value when r = a0 (Bohr’s radius) and then falls. When radial probability is very small.
Thus, (a) and (c) are true.