Quantum Mechanical Model of the Atom

IMPORTANT

Quantum Mechanical Model of the Atom: Overview

This topic covers concepts, such as, Quantum Mechanical Model of Atom, de-Broglie's Equation: Dual Nature of Matter, Radial Probability & Radial Probability Density etc.

Important Questions on Quantum Mechanical Model of the Atom

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The total number of atomic orbitals in the fourth energy level of an atom is :

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A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be   ( h=6.6× 10 34 Js ):

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Which of the following is not permissible arrangement of electrons in an atom?

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The measurement of the electron position if associated with an uncertainty in momentum which is equal to 1× 10 18 gcm s 1 . The uncertainty in electron velocity is,

(mass of an electron is   9× 10 28 g )

                                                                                                                                                                                                                               

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If uncertainty in position and momentum are equal, then uncertainty in velocity is :

                                                                                                                                                                                                                               

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Consider the following sets of quantum numbers :

  n 1 m s
(i) 3 0 0 +12
(ii) 2 2 1 +12
(iii) 4 3 -2 -12
(iv) 1 0 -1 -12
(v) 3 2 3 +12

which of the following sets of quantum number is not possible ?

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The orientation of an atomic orbital is governed by

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Given : The mass of electron is  9.11×1031kg, Planck constant is  6.626×1034Js, the uncertainty involved in the measurement of velocity within a distance of   0.1Å is

                                                                                                                                                                                                                               

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The number of orbitals possible for the following quantum numbers is/are

n=3,  l=2, m=+2

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The position of both, an electron and a helium atom is known within 1.0 nm. Further, the momentum of the electron is known with in 5.0×1026kgms1.The minimum uncertainty in the measurement of the momentum of the helium atom is

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The position of both, an electron and a helium atom is known within 1.0 nm. Further the momentum of the electron is known within    5.0× 10 26 kgm s 1 .  The minimum uncertainty in the measurement of the momentum of the helium atom is

                                                                                                                                                                                                                               

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The number of spherical nodes in 3p orbitals are

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The electron was shown experimentally to have wave properties by

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The relation between nm (nm=the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number l, is

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The number of correct statements from the following is ...........
A. For 1s orbital, the probability density is maximum at the nucleus
B. For 2s orbital, the probability density first increases to maximum and then decreases sharply to zero.
C. Boundary surface diagrams of the orbitals encloses a region of 100% probability of finding the electron.
D. p and d-orbitals have 1 and 2 angular nodes respectively
E. probability density of p-orbital is zero at the nucleus
 

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The number of atomic orbitals from the following having 5 radial nodes is
7s, 7p, 6s, 8p, 8d

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The orbital angular momentum of an electron in 3 s orbital is xh2π. The value of x is (nearest integer)

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The wavelength of an electron of kinetic energy 4.50×10-29 J is ________×105 m. (Nearest integer) Given: mass of electron is9×1031 kg, h=6.6×1034 Js

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If the radius of the first orbit of hydrogen atom is a0, then de Broglie’s wavelength of electron in 3rd orbit is

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The orbital angular momentum of electron in 3s is xh2π. Then the value of x is :