Towards Quantum Mechanical Model of the Atom

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

According to de Broglie, what is the relation between the wavelength of the wave associated with the moving electron and the momentum of the electron? 

What do you mean by the dual nature of an electron? 

Calculate the total number of angular nodes and radical nodes present in $3\mathrm{d}$ and $4\mathrm{f}$ orbital?

The number of correct statements from the following is ...........
A. For $1\mathrm{s}$ orbital, the probability density is maximum at the nucleus
B. For $2\mathrm{s}$ 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. $\mathrm{p}$ and $\mathrm{d}$-orbitals have $1$ and $2$ angular nodes respectively
E. probability density of $\mathrm{p}$-orbital is zero at the nucleus
 

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

The wavelength of an electron of kinetic energy $4.50\times {10}^{-29} \mathrm{J}$ is $\mathrm{\_\_\_\_\_\_\_\_}\times 10–5 \mathrm{m}.$ (Nearest integer) Given: mass of electron is$9\times 10–31 \mathrm{kg}, \mathrm{h}=6.6\times 10–34 \mathrm{Js}$

If the radius of the first orbit of hydrogen atom is $a_{\mathit{0}}$, then de Broglie’s wavelength of electron in $3^{\mathrm{rd}}$ orbit is

How many of the following have five radical nodes ?

$5\mathrm{s}, 6\mathrm{s}, 7\mathrm{s}, 6\mathrm{p} \mathrm{and} 4\mathrm{p}$

Did bohr's model account for the splitting of line spectra of a hydrogen atom into finer lines..?

Assuming that the momentum of an electron is measured with complete accuracy, that is., the corresponding uncertainty in its momentum being zero, what is the uncertainty in a simultaneous measurement of the electron’s position?

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 $𝑟 = {10}^{-14}𝑚.$

How many angular nodes are present in ${\mathrm{d}}_{\mathrm{xy}}$ orbital ?