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If Rydberg's constant is $R$ , the longest wavelength of radiation in Paschen series will be $\frac{α}{7 R}$ , where $α =$ ______.

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Important Questions on Atoms and Nuclei

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

The shortest wavelength of Paschen series in hydrogen spectrum is

8182 \overset{\circ}{A}

. The first member of the Paschen series is nearly

EASY

Physics>Modern Physics>Atoms and Nuclei>Hydrogen 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:

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen 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?

EASY

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

The series corresponding to lowest wavelength transition in

H

- atom.

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

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

λ_{m i n}

is the smallest possible wavelength of

X -

ray in the spectrum, the variation of

\log (λ_{m i n})

with

\log (V)

is correctly represented in :

EASY

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

12 eV

energy is given to electron in third orbit of

H

-atom, then final energy of electron when it ionise from third orbit, is

MEDIUM

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

H e^{+}

ion is in its first excited state. Its ionization energy is:

HARD

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

The Hitomi satellite recently observed the Lyman alpha emission line (

n = 2

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>Hydrogen 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>Atoms and Nuclei>Hydrogen Spectrum

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let

λ_{n}, λ_{g}

be the de Broglie wavelength of the electron in the

n^{t h}

state and the ground state respectively. Let

\land_{n}

be the wavelength of the emitted photon in the transition from the

n^{t h}

state to the ground state. For large n, (A, B are constants)

HARD

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

In hydrogen spectrum,

L_{α}

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_{α}

line of hydrogen. This is due to the transition of the electron from the orbit ______ to ________

EASY

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

Electrons of mass,

m

with de-Broglie wavelength,

λ

fall on the target in an X-ray tube. The cutoff wavelength,

(λ_{0})

of the emitted X-ray is

EASY

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

A hydrogen atom is in a state with energy

- 1.51 eV

. In the Bohr model, the angular momentum of the electron in the atom with respect to an axis at the nucleus, is

(\frac{h}{2 π} = 1.05 \times 10^{- 34} J s)

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

The total energy of an electron in the

n^{th}

stationary orbit of the hydrogen atom can be obtained by

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

Hydrogen atom in its ground state is excited by a monochromatic light of energy

13.06 eV

. The longest wavelength among the spectral lines is (Ionization energy of hydrogen atom is

13.6 eV

)

EASY

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

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

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

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

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Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

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>Hydrogen Spectrum

Both the nucleus and the atom of some element are in their respective first excited states. They get de-excited by emitting photons of wavelengths

λ_{N}, λ_{A}

respectively. The ratio

\frac{λ_{N}}{λ_{A}}

is closest to:

HARD

Physics>Modern Physics>Atoms and Nuclei>Hydrogen Spectrum

Consider a hydrogen-like ionized atom with atomic number

Z

with a single electron. In the emission spectrum of this atom, the photon emitted in the

n = 2 t o n = 1

transition has energy

74.8 eV

higher than the photon emitted in the

n = 3 t o n = 2

transition. Given that the ionization energy of the hydrogen atom is

13.6 eV

, what is the value of

Z

If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will be α7R, where α=______.

Important Questions on Atoms and Nuclei

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If Rydberg's constant is $R$ , the longest wavelength of radiation in Paschen series will be $\frac{α}{7 R}$ , where $α =$ ______.