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

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?

Bohr's model of an atom is contradicted by

If the position of the electron is measured within an accuracy of $\pm 0.002 \mathrm{nm}$. What is the uncertainty in the momentum of the electron.

If the velocity of the electron in Bohr's first orbit is $2.19\times {10}^6 {\mathrm{ms}}^{-1},$ What is the de-Broglie wavelength associated with it? Planck's constant $\mathrm{h}= 6.62 \times {10}^{-34} {\mathrm{kgm}}^2 {\mathrm{s}}^{-1}$

The wavelength of a neutron in a neutron diffraction spectrometer is $800 \mathrm{pm}$. What is the characteristic velocity associated with this neutron. Planck's constant $\mathrm{h}=6.62\times {10}^{-34} \mathrm{Js}$

The velocity of the electron in an electron microscope is $1.6 \times {10}^6 {\mathrm{ms}}^{-1}$. Calculate de-Broglie wavelength associated with this electron.