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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What is the wavelength of first line of Balmer series of a doubly ionised lithium atom $(z = 3)$ , if the wavelength of the first line of Balmer series of hydrogen atom is $λ Å$ .

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Important Questions on Atoms

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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

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

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

The series corresponding to lowest wavelength transition in

H

- atom.

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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}

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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

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

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

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

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

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

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

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 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?

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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

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

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

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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

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

An electron in a Hydrogen atom first jumps from third excited state to second excited state and then from second excited to the first excited state. The ratio of the wavelengths

λ_{1} : λ_{2}

emitted in the two cases is,

What is the wavelength of first line of Balmer series of a doubly ionised lithium atom z=3, if the wavelength of the first line of Balmer series of hydrogen atom is λ Å.

Important Questions on Atoms

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What is the wavelength of first line of Balmer series of a doubly ionised lithium atom $(z = 3)$ , if the wavelength of the first line of Balmer series of hydrogen atom is $λ Å$ .