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Test: Quantum Mechanical Model of an Atom - NEET MCQ


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15 Questions MCQ Test - Test: Quantum Mechanical Model of an Atom

Test: Quantum Mechanical Model of an Atom for NEET 2024 is part of NEET preparation. The Test: Quantum Mechanical Model of an Atom questions and answers have been prepared according to the NEET exam syllabus.The Test: Quantum Mechanical Model of an Atom MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Quantum Mechanical Model of an Atom below.
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Test: Quantum Mechanical Model of an Atom - Question 1
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Direction (Q. Nos. 1-12) This section contains 12 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.

Q. 

Radial wave functio ns (R) of different orbitals are plotted. Which is/are correct graphs?

Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 1

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.

Test: Quantum Mechanical Model of an Atom - Question 2
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For 2s-orbital electron, radial probability density R2 as function of r (distance) is given by

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Correct Answer : b

Explanation : (a) It represents R2 vs r for 1s

(b) It represents R2 vs r for2s

(c) It represents R2 vs r for 2p

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Test: Quantum Mechanical Model of an Atom - Question 3
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For an electron in 2p-orbital, radial probability function 4πr2R2 as a function of r is given by

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(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

Test: Quantum Mechanical Model of an Atom - Question 4
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C onsider the following figures A and B indicating distribution of charge density (electron probability ) with distance r

Select the correct statement(s). 
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 4

in case of 1s, falls as r increases thus, (A) is for 1s.
In case of 2s, is maximum in the vicinity o f the nucleus, falls to zero giving spherical nodes and then rises to second highest value. Thus, (6) is for2s

Test: Quantum Mechanical Model of an Atom - Question 5
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Select the correct statement(s).
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 5

 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

Test: Quantum Mechanical Model of an Atom - Question 6
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Which orbital gives an electron, a greater probability being found close to the nucleus?
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3s is spherically symmetrical and its electron density is maximum at the nucleus. It decreases with r.

Test: Quantum Mechanical Model of an Atom - Question 7
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Hamiltonian operator is the sum of two energy operators. These are
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H = T + V


Test: Quantum Mechanical Model of an Atom - Question 8
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Angular nodes in 4s- suborbit is equal to radial nodes in
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 8

Angular nodes in 4s = 0

Test: Quantum Mechanical Model of an Atom - Question 9
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at any point is proportional to
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 9

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.

Test: Quantum Mechanical Model of an Atom - Question 10
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There is formation of in all five nodes (including terminal nodes) in a string of 12 cm. Thus, wavelength of the waves formed is 
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For n nodes in a string

Test: Quantum Mechanical Model of an Atom - Question 11
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For x -axis , wave function () can be written as

Thus, Schrodinger wave equation along x-axis can be written as : 
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Test: Quantum Mechanical Model of an Atom - Question 12
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The Schrodinger wave equation for H-atom is 

where, a0 is Bohr’s radius. If radial node in 2s is at distance r0, then
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*Multiple options can be correct
Test: Quantum Mechanical Model of an Atom - Question 13
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Direction (Q. Nos. 13-15) This section contains 3 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONE or  MORE THANT ONE  is correct.

Q.  Which of the following properties can be described by wave function ?
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 13

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

*Multiple options can be correct
Test: Quantum Mechanical Model of an Atom - Question 14
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As compared to 1s electron of H-atom in ground state, which of the following properties appear(s) in the radial probability density of 2s electron of H-atom in first excited state?
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 14

For2s-electron of H-atom (first excited state)

For 1s-electron of H-atom in ground state

At point Ar = a0 r at point Br > a0
(a) True (b) True (c) True (d) True

*Multiple options can be correct
Test: Quantum Mechanical Model of an Atom - Question 15
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Radial probability density in the occupied orbital of a hydrogen atom in the ground state (1s) is given below
Detailed Solution for Test: Quantum Mechanical Model of an Atom - Question 15

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.

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