Quantum Mechanical Model of Atom

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Quantum Mechanical Model of Atom: Overview

This topic covers concepts, such as, Quantum Mechanical Model of Atom, Schrodinger's Wave Equation, Angular Nodes & Nodes or Nodal Surfaces etc.

Important Questions on Quantum Mechanical Model of Atom

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The number of spherical nodes in 3p orbitals are

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Which orbital among the following has zero radial nodes and 2 angular nodes?

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The number of radial nodes in 1s and 2s orbitals are respectively:

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Choose the correct statement among the following:

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The number of nodes in the 4f orbital is _____

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Which statement(s) concerning Bohr's model is incorrect?

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For next two question please follow the same

The hydrogen - like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light, the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

The energy of the S1 in units of the hydrogen atom ground state energy is

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The number of nodal planes ‘ 5d’ orbital has, is:

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The orbitals which have same number of nodes are

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  Column I (orbital)   Column II (Radial nodes)
A 3p p 0
B 5d q 1
C 4f r 2
D 4s s 3

 

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For an electron in a H-atom, find out the exact ratio of probability of finding the electron at the nucleus to the probability of finding it at Bohr radius a0

The wave function is ψ=1π1a03/2e-r/a0 .

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The wave function of an atomic orbital is given as ψ(4,1,0). What is  the correct statement regarding this orbital?

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How does the probability distribution curve for 2s electron appears? 

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(Assume that all graphs have been plotted for the same parameters. In all these curves n < 4 )

Choose the correct radial probability curve for 3p-orbital.

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What is the total number of all types of nodes possible in the highest energy orbital of the third shell in a multi electron atom?

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The hydrogen-like species Li2+ is with one radial node in a spherically symmetric state S1. On absorbing the light ion will undergo a transition from state S1 to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

The state S1 will be

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According to the modern atomic theory, calculate the angular momentum, spherical nodes and angular nodes of ψ 210 respectively?

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Number of radial nodes for 4f orbital

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From the following graph between R (radial wave function) and r (distance from nucleus), identify orbital:-

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The d-orbital with two nodal cones: