Quantum Mechanical Model of the Atom
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
The total number of atomic orbitals in the fourth energy level of an atom is :

A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be

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

The measurement of the electron position if associated with an uncertainty in momentum which is equal to . The uncertainty in electron velocity is,
(mass of an electron is )

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

Consider the following sets of quantum numbers :
(i) | ||||
(ii) | ||||
(iii) | ||||
(iv) | ||||
(v) |
which of the following sets of quantum number is not possible ?

The orientation of an atomic orbital is governed by

Given : The mass of electron is , Planck constant is the uncertainty involved in the measurement of velocity within a distance of is

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

The position of both, an electron and a helium atom is known within . Further, the momentum of the electron is known with in .The minimum uncertainty in the measurement of the momentum of the helium atom is

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 The minimum uncertainty in the measurement of the momentum of the helium atom is

The number of spherical nodes in 3p orbitals are

The electron was shown experimentally to have wave properties by

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

The number of correct statements from the following is ...........
A. For orbital, the probability density is maximum at the nucleus
B. For 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 probability of finding the electron.
D. and -orbitals have and angular nodes respectively
E. probability density of -orbital is zero at the nucleus

The number of atomic orbitals from the following having radial nodes is

The orbital angular momentum of an electron in orbital is . The value of is (nearest integer)

The wavelength of an electron of kinetic energy is (Nearest integer) Given: mass of electron is

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

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