The wavelength of $X-rays$ lies between

Important Questions on Atoms and Nuclei

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

W. K. Roentgen discovered

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The energy required to ionise a hydrogen like ion in its ground state is $9$ Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited state to the ground state?

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

$12 \mathrm{eV}$ energy is given to electron in third orbit of $\mathrm{H}$-atom, then final energy of electron when it ionise from third orbit, is

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

A hydrogen atom is in a state with energy $-1.51\mathrm{eV}$. In the Bohr model, the angular momentum of the electron in the atom with respect to an axis at the nucleus, is $\left(\frac{h}{2\pi }=1.05\times {10}^{-34} \mathrm{J} \mathrm{s}\right)$

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The ratio of wavelengths of the last line of the Balmer series and the last line of the Lyman series is_____.

HARD

Physics>Modern Physics>Atoms and Nuclei>X-Ray

In hydrogen spectrum, $L_{\alpha }$ line arises due to transition of electron from the orbit $n=3$ to the orbit $n=2$. In the spectrum of singly ionized helium, there is a line having the same wavelength as that of the $L_{\alpha }$ line of hydrogen. This is due to the transition of the electron from the orbit ______ to ________

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

In an $X$-ray tube, electrons emitted from a filament (cathode) carrying current $I$ hit a target (anode) at a distance $d$ from the cathode. The target is kept at a potential $V$ higher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current $I$ is decreased to $\frac{I}{2},$ the potential difference $V$ is increased to $2V,$ and the separation distance $d$ is reduced to $\frac{d}{2},$ then

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The amount of energy required to separate a hydrogen atom into a proton and an electron is

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

If the series limit frequency of the Lyman series is $V_L,$ then the series limit frequency of the Pfund series is:

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let ${\lambda }_n, {\lambda }_g$ be the de Broglie wavelength of the electron in the $n^{th}$ state and the ground state respectively. Let ${\wedge }_n$ be the wavelength of the emitted photon in the transition from the $n^{th}$ state to the ground state. For large n, (A, B are constants)

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

Hydrogen atom in its ground state is excited by a monochromatic light of energy $13.06\mathrm{eV}$. The longest wavelength among the spectral lines is (Ionization energy of hydrogen atom is $13.6\mathrm{eV}$)

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

An electron beam is accelerated by a potential difference $V$ to hit a metallic target to produce $X-$rays. It produces continuous as well as characteristic $X-$rays. If ${\lambda }_{min}$ is the smallest possible wavelength of $X-$ray in the spectrum, the variation of $\log \left({\lambda }_{min}\right)$ with $\log \left(V\right)$ is correctly represented in :

HARD

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The Hitomi satellite recently observed the Lyman alpha emission line ($n=2$ to $n=1$) of hydrogen-like iron ion (atomic number of iron is $26$) from the Perseus galaxy cluster. The wavelength of the line is closest to

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The series corresponding to lowest wavelength transition in $\mathrm{H}$ - atom.

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The shortest wave lengths of Paschen, Balmer and Lyman series are in the ratio

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

State the name of the visible series in hydrogen spectrum.

HARD

Physics>Modern Physics>Atoms and Nuclei>X-Ray

Using an expression for energy of electron, obtain the Bohr’s formula for hydrogen spectral lines.

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>X-Ray

A $\mathrm{H}{\mathrm{e}}^{+}$ ion is in its first excited state. Its ionization energy is:

HARD

Physics>Modern Physics>Atoms and Nuclei>X-Ray

The radius of the orbit of an electron in a Hydrogen-like atom is $4.5$ $a_0$, where $a_0$ is the Bohr radius. Its orbital angular momentum is $\frac{3\text{h}}{2\text{π}}\mathrm{.}$ It is given that $h$ is Planck's constant and $R$ is Rydberg constant. The possible wavelengths, when the atom de-excites, is (are)

EASY

Physics>Modern Physics>Atoms and Nuclei>X-Ray

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is: