Structure of Atom

If the de-broglie wavelength of a particle of mass $(m)$ is 100 times its velocity. Then, its value in terms of its mass $(m)$ and plank constant $(h)$ is

The degeneracy of hydrogen atom that has energy equal to $\frac{-R_{\mathrm{H}}}{9}$ is (where, $R_{\mathrm{H}}=$ Rydberg constant)

The energy of second orbit of hydrogen atom is $-5.45 \times 10^{-19} \mathrm{~J}$. What is the energy of first orbit of $\mathrm{Li}^{2+}$ ion (in J$)$ ?

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference $V$ volt. If 'e' and $m$ are charge and mass of an electron, respectively, then the value of $h /…

A photon of wavelength $3000 Ã...$ strikes a metal surface. The work function of the metal is 2.13 eV. What is the kinetic energy of the emitted photoelectron? $\left(\mathrm{h}=6.626 \times 10^{-34} \mathrm{Js}\right)$

If the radius of the $3 \mathrm{rd}$ Bohr's orbit of hydrogen atom is $r_3$ and the radius of $4^{\text {th }}$ Bohr's orbit is $r_4$. Then:

The Bohr orbit radius for the hydrogen atom $(n=1)$ is approximately $0.530 Å$. The radius for the first excited state $(n=2)$ orbit is (in $Å$)

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^{3} \mathrm{~ms}^{-1}$. (Mass of proton $=1.67 \times 10^{-27} \mathrm{~kg}$ and $\left.\mathrm{h}=6.63 \times 10^{-34}…

The frequency of radiation emitted when the electron falls from $\mathrm{n}=4$ to $\mathrm{n}=1$ in a hydrogen atom will be (Given : ionization energy of $\mathrm{H}=2.18 \times 10^{-18} \mathrm{~J}$ atom ${ }^{-1}$ and…

What is the maximum wavelength line in the Lyman series of $\mathrm{He}^{+}$ ion?

If the photon of wavelength $150 \pm$ strikes an atom and one of its inner bound electron is ejected out with a velocity of $1\cdot 5×{10}^{7} m/s$, what is the energy with which it is bound to the nucleus?

In a homonuclear molecule, which of the following set of orbitals is degenerated?