Atoms practice · Mixed difficulty

In Bohr’s model of hydrogen atom, which of the following represents the variation of nth orbit radius with n?

The Bohr model of atoms

Whenever a hydrogen atom emits a photon in the Balmer series

An ionised ${H}$-molecule consist of an electron and two protons. One proton are separated by a small distance of the order of angstrom. In the ground state

An electron in the $n = 1$ orbit of hydrogen atom is bounded by $13.6\,\,eV$. Energy requires to ionize it is

The wavelength of X-rays is of the order of

For the structural analysis of crystals, $X$-rays are used because

The structure of solid crystals is investigated by using

If the wavelength of the first line of the Balmer series in the hydrogen spectrum is $\lambda ,$ then the wavelength of the first line of the Lyman series is

According to Moseley’s law of $X$-rays the frequency $\left( v \right)$ of particular characteristic $X$-ray and the atomic number $\left( Z \right)$ of the element depend on each other as

The electron beam in a colour TV is accelerated through $32 \mathrm{~kV}$ and then strikes the screen. What is the wavelength of the most energetic X-ray photon?

Calculate the shortest wavelength of Lyman series. Given Rydberg's constant, $R=10967700 \mathrm{~m}^{-1}$.

As an electron makes a transition from an excited state to the ground state of hydrogen like atom/ion

The graph between priciple quantum number and radius of orbit is :

The time period of revolution of electron in its ground state orbit in a hydrogen atom is $1.6 \times {10^{ - 16}}\mathrm{s}$ The frequency of revolution of the electron in its first excited state (in Hz) is

A particle of mass $m$ moves in a circular orbit in a central potential field $U(r)=U_0 r^4$. If Bohr's quantization conditions are applied, radii of possible orbitals $r_n$ vary with $n^{1 / \alpha}$, where $\alpha$ is ......

Penetrating power of X-rays depends on

An electron beam of energy $10 \mathrm{~KeV}$ is incident on metallic foil. If the interatomic distance is $0.55 ~\mathop {\text{A}}\limits^ \circ$. Find the angle of diffraction.

On the basis of Bohr’s atomic model the radius of 3rd orbit of any atom is

Assertion (A): The positively charged nucleus of an atom has a radius of almost $10^{-15} \mathrm{~m}$.

Reason (R): In $\alpha$ - particle scattering experiment, the distance of closest approach for $\alpha$-particles is $10^{-15} \mathrm{~m}$.

Which of the following pairs is an isobar

Calculate the period of revolution of an electron revolving in the first orbit of hydrogen atom. Given radius of first orbit $=0.53 \mathop {\text{A}}\limits^ \circ$ and $c=3 \times 10^8 \mathrm{~ms}^{-1}$.

A stationary hydrogen atom emits photon corresponding to the first line of Lyman series. If $R$ is the Rydberg’s constant and $M$ is the mass of the atom, then the velocity acquired by the atom is (neglect energy absorbed by the photon)

Find the wavelengths present in the radiation emitted
when hydrogen atoms excited to $n = 3$ states return to
their ground states.

Hydrogen atom emits blue light when it changes from $n = 4$ energy level to the $n = 2$ level. Which colour of light would the atom emit when it changes from the $n = 5$ level to the $n = 2$ level

The equation $\lambda=\frac{1.227}{x} \mathrm{~nm}$ can be used to find the de- Broglie wavelength of an electron.
In this equation $x$ stands for:
Where m = mass of electron
P = momentum of electron
K = Kinetic energy of electron
V = Accelerating potential in volts for electron

Taking the Bohr radius as $a_0=53\, {pm}$, the radius of ${Li}^{++}$ion in its ground state, on the basis of Bohr's model, will be about

The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region?

X-rays of wavelength 0.140 nm are scattered from a block of carbon. What will be the wavelenghts of X-rays scattered at ${90^0}$?

Suppose, in certain conditions only those transitions are allowed to hydrogen atoms in which the principal quantum number $n$ changes by 2.

(a) Find the smallest wavelength emitted by hydrogen.

(b) List the wavelengths emitted by hydrogen in the visible range $(380 \mathrm{~nm}$ to $780 \mathrm{~nm}$).