Hydrogen ( 1 H 1 ), Deuterium ( 1 H 2 ), singly ionised Helium ( 2 He 4 ) + and doubly ionised lithium ( 3 Li 6 ) ++ 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 λ 1 , λ 2 , λ 3 and λ 4 respectively then approximately which one of the following is correct ?

4 λ 1 = 2 λ 2 = 2 λ 3 = λ 4

λ 1 = 2 λ 2 = 3 λ 3 = 4 λ 4

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The shortest wavelength in the Balmer series of hydrogen atom in terms of Rydberg constant $R_{H}$ is

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Important Questions on Atoms

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Physics>Modern Physics>Atoms>Atomic Spectra

In Balmer series for hydrogen atom, find the energy of photon corresponding to longest wavelength.

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Physics>Modern Physics>Atoms>Atomic Spectra

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>Atomic Spectra

The shortest wavelength of Paschen series in hydrogen spectrum is

8182 \overset{\circ}{A}

. The first member of the Paschen series is nearly

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Physics>Modern Physics>Atoms>Atomic Spectra

Given the value of Rydberg constant is

10^{7} m^{- 1}

, the wave number of the last line of the Balmer series in hydrogen spectrum will be:

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Physics>Modern Physics>Atoms>Atomic Spectra

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)

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Physics>Modern Physics>Atoms>Atomic Spectra

The series corresponding to lowest wavelength transition in

H

- atom.

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Physics>Modern Physics>Atoms>Atomic Spectra

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?

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

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>Atoms>Atomic Spectra

Taking the wavelength of first Balmer line in hydrogen spectrum

(n = 3

n = 2)

660 n m

, the wavelength of the

2^{n d}

Balmer line

(n = 4

n = 2)

will be :

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Physics>Modern Physics>Atoms>Atomic Spectra

In Balmer series, wavelength of first line is

λ_{1}

and in Brackett series wavelength of first line is

λ_{2}

then

\frac{λ_{1}}{λ_{2}}

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

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 ________

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Physics>Modern Physics>Atoms>Atomic Spectra

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

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Physics>Modern Physics>Atoms>Atomic Spectra

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

)

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Physics>Modern Physics>Atoms>Atomic Spectra

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

n = 1

. If the wave lengths of emitted radiation are

λ_{1}, λ_{2}, λ_{3}

and

λ_{4}

respectively then approximately which one of the following is correct ?

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

R

is the Rydberg constant in

{cm}^{- 1}

, then hydrogen atom does not emit any radiation of wavelength in the range of

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Physics>Modern Physics>Atoms>Atomic Spectra

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

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

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

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Physics>Modern Physics>Atoms>Atomic Spectra

When the electron in hydrogen atom jumps from fourth Bohr orbit to second Bohr orbit, one gets the

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Physics>Modern Physics>Atoms>Atomic Spectra

If the series limit frequency of the Lyman series is

V_{L},

then the series limit frequency of the Pfund series is:

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Physics>Modern Physics>Atoms>Atomic Spectra

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}

The shortest wavelength in the Balmer series of hydrogen atom in terms of Rydberg constant RH is

Important Questions on Atoms

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The shortest wavelength in the Balmer series of hydrogen atom in terms of Rydberg constant $R_{H}$ is