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Important Questions on Atomic Physics

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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?

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

The first member of the Balmer series of hydrogen atom has a wavelength of $6561 \stackrel{\circ }{\mathrm{A}}$. The wavelength of the second member of the Balmer series (in nm) is_____________

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

In Balmer series, wavelength of first line is ${\lambda }_1$ and in Brackett series wavelength of first line is ${\lambda }_2$ then $\frac{{\lambda }_1}{{\lambda }_2}$ is

HARD

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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 ________

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

Taking the wavelength of first Balmer line in hydrogen spectrum $(\mathrm{n}=3\mathrm{ }$ to $\mathrm{n}=2)$ as $660\mathrm{ }\mathrm{n}\mathrm{m}$ , the wavelength of the $2^{\mathrm{n}\mathrm{d}}$ Balmer line $(\mathrm{n}\mathrm{ }=\mathrm{ }4\mathrm{ }$ to $\mathrm{ }\mathrm{n}\mathrm{ }=\mathrm{ }2)$ will be :

HARD

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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>Atomic Physics>Emission and Absorption Spectrum

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

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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>Atomic Physics>Emission and Absorption Spectrum

Hydrogen (₁H¹), Deuterium (₁H²), singly ionised Helium (₂He⁴)⁺ and doubly ionised lithium (₃Li⁶)⁺⁺ all have one electron around the nucleus. Consider an electron transition from $n=2$ to $n=1$. If the wave lengths of emitted radiation are ${\lambda }_1\text{, }{\lambda }_2\text{, }{\lambda }_3$ and ${\lambda }_4$ respectively then approximately which one of the following is correct ?

HARD

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

If $R$ is the Rydberg constant in ${\mathrm{cm}}^{-1}$, then hydrogen atom does not emit any radiation of wavelength in the range of

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

The shortest wavelength of Paschen series in hydrogen spectrum is $8182 \stackrel{\circ }{\mathrm{A}}$. The first member of the Paschen series is nearly

HARD

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

In a muonic atom, a muon of mass of $200$ times of that of electron and same charge is bound to the proton. The wavelengths of its Balmer series are in the range of

MEDIUM

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

Which of the series of hydrogen atom spectrum lies in the visible region of electromagnetic spectrum?

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

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)

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

The frequency for a series limit of Balmer and Paschen series respectively are $f_1^{}$ and $f_3^{}$. If the frequency of the first line of Balmer series is $f_2^{}$ then the relation between${ }^{}{f}_1^{}, f_2^{}$ and $f_3^{}$ is

EASY

Physics>Modern Physics>Atomic Physics>Emission and Absorption Spectrum

Given the value of Rydberg constant is ${10}^7\mathrm{ }{\mathrm{m}}^{-1}$, the wave number of the last line of the Balmer series in hydrogen spectrum will be: