Quantum Mechanical Model of the Atom

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

Consider the following sets of quantum numbers :

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

The orientation of an atomic orbital is governed by

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

$\mathrm{n}=3,\hspace{0.17em}\hspace{0.17em}\mathrm{l}=2, \mathrm{m}=+2$

The position of both, an electron and a helium atom is known within $1.0 \mathrm{nm}$. Further, the momentum of the electron is known with in $5.0\times {10}^{-26}\mathrm{kg}{\mathrm{ms}}^{-1}$.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 ${\mathrm{n}}_{\mathrm{m}}$ (${\mathrm{n}}_{\mathrm{m}}=$the number of permissible values of magnetic quantum number $\left(\mathrm{m}\right)$) for a given value of azimuthal quantum number $\left(\mathrm{l}\right)$, is

State and explain Heisenberg’s uncertainty principle. Hence show that the electron cannot exist inside the nucleus. Given:$\hslash = 1.054 \times {10}^{-34}𝐽𝑆 {𝑚}_{𝑒} = 9.11 \times {10}^{-31}\mathrm{Kg}$,the radius of the nucleus of any atom is $𝑟 = {10}^{-14}𝑚.$

What is the maximum number of orbitals that can be identified with the following quantum numbers?
$\mathrm{n}=3, \mathrm{l}=+1, {\mathrm{m}}_{\mathrm{l}}=0$.

In hydrogen atom, the degeneracy of the level with energy $\frac{-{\mathrm{R}}_{\mathrm{H}}}{9}$ is

Radial nodes present in $3\mathrm{s}$ and $3\mathrm{p}-$orbitals are respectively

For how many orbitals, the quantum numbers $\mathrm{n}=3,\mathrm{l}=2, \mathrm{m}=+2$ are possible?

de-Broglie's wavelength of an electron having kinetic energy $2.7\times {10}^{-23} \mathrm{J}$ is $\mathrm{A}\times {10}^{-8} \mathrm{m}$. Then, what is the value of $\mathrm{A}$?