Towards Quantum Mechanical Model of the Atom

Set of isoelectronic species is

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 electron was shown experimentally to have wave properties by

An electron beam with a de Broglie wavelength of $\mathrm{x} \mathrm{\AA }$ is accelerated till its wavelength is halved. By what factor will kinetic energy change-

For s-orbital, $4{\mathrm{\pi r}}^2{\mathrm{\Psi }}_{\mathrm{r}}^2$vs $\mathrm{r}$ is plotted. Select correct statement (s).

Note: S = spherical surface at given distance. P = Point (very small volume) at given distance

How many of these orbitals have maximum orbital angular probability distribution at an angle of $45°$ to the axial direction?

${\mathrm{d}}_{\mathrm{xy}}, {\mathrm{d}}_{{\mathrm{x}}^2-{\mathrm{y}}^2}, {\mathrm{d}}_{\mathrm{yz}}, {\mathrm{d}}_{\mathrm{xz}}, {\mathrm{d}}_{{\mathrm{z}}^2}, {\mathrm{p}}_{\mathrm{x}}, {\mathrm{p}}_{\mathrm{y}}, {\mathrm{p}}_{\mathrm{z}}, \mathrm{s}$

An element undergoes a reaction as shown:
$x+{\mathrm{e}}^{-}\to x^{-}$ energy released $=30.87 \mathrm{eV}$
If the energy released, is used to dissociate $12 \mathrm{g}$ of ${\mathrm{H}}_2$ molecules, equally into ${\mathrm{H}}^{+}$ and ${\mathrm{H}}^{*}$, where ${\mathrm{H}}^{*}$ is an excited state, in which the electron travels a path length equal to four times it's de-Broglie wavelength. Determine the least amount (in moles) of $\text{'}\mathrm{x}\text{'}$ that would be required.
Given: I.E. of $\mathrm{H}=13.6 \mathrm{eV}/\mathrm{atom}$, Bond energy of ${\mathrm{H}}_2=4.526 \mathrm{eV}/\mathrm{molecule}$.

The de Broglie wavelength of electron of ${\mathrm{He}}^{+}$ ion is $3.329 \mathrm{Å}.$ If the photon emitted upon deexcitation of this ${\mathrm{He}}^{+}$ ion is made to hit $\mathrm{H}-$atom in its ground state so as to liberate electron from it, what will be the de-Broglie's wavelength of photoelectron in$\mathrm{Å}$ ?

Round off your answer to the nearest integer.

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 $\mathrm{A}$?

The de-Broglie wavelength of an electron travelling at $\mathrm{x}$percent of the speed of light was found to be $2.42 \stackrel{\mathrm{o}}{\mathrm{A}}$. Then, what is the value of '$\mathrm{x}$'?

The ratio of the velocity of ${\mathrm{SO}}_2$ molecules to the velocity of ${\mathrm{O}}_2$ molecules such that they are associated with de Broglie waves of the same wavelength is

Let the mass of a particle be $1 \mathrm{g}$ and its de-Broglie wavelength $6.63\times {10}^{-33} \mathrm{m}$. Then, what will be its velocity?

If the electron is accelerated by a potential difference of $300 \mathrm{V}$, then what will be wavelength associated with the moving electron?

Suppose the kinetic energy of a particle is doubled, de-Broglie's wavelength becomes

Is the Bohr's model consistent with the Heisenberg's uncertainty principle?