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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With what potential an electron should be accelerated so that its de Broglie wave-length becomes equal to the wave length of second line of Balmer series for ${He}^{+}$ ion ?

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Important Questions on Atoms

EASY

Physics>Modern Physics>Atoms>Atomic Spectra

If an electron is moving in the

n^{th}

orbit of the hydrogen atom, then its velocity

(v_{n})

for the

n^{th}

orbit is given as:

MEDIUM

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,

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

Explain the different types of spectral series.

MEDIUM

Physics>Modern Physics>Atoms>Atomic Spectra

R

is Rydberg constant then, the shortest wavelength of the Balmer series of the hydrogen atom is:

MEDIUM

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

)

MEDIUM

Physics>Modern Physics>Atoms>Atomic Spectra

The spectral line corresponding to a transition of an electron in $H -$ atom the first excited state to the ground state would appear in the

MEDIUM

Physics>Modern Physics>Atoms>Atomic Spectra

According to Bohr atom model, in which of the following transitions will the frequency be maximum?

EASY

Physics>Modern Physics>Atoms>Atomic Spectra

The spectrum formed by an ordinary tubelight is a/an

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

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

MEDIUM

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 ?

MEDIUM

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

X

different wavelength may be observed in the spectrum from a hydrogen sample if the atoms are excited to states with principal quantum number

n = 6

? The value of

X

EASY

Physics>Modern Physics>Atoms>Atomic Spectra

The first three spectral lines of

H

-atom in the Balmer series are given

λ_{1}, λ_{2}, λ_{3}

considering the Bohr atomic model, the wave lengths of first and third spectral lines

(\frac{λ_{1}}{λ_{3}})

are related by a factor of approximately

x

\times 10^{- 1}

. The value of

x

, to the nearest integer, is ________.

EASY

Physics>Modern Physics>Atoms>Atomic Spectra

The wavelength of radiation emitted when an electron jumps from

5^{th}

excited state to

3^{rd}

excited state of a hydrogen atom is ________. Given. Planck's constant

= 6.625 \times 10^{- 34} J s

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

Explain the spectral series of hydrogen atom. (Diagram not necessary)

HARD

Physics>Modern Physics>Atoms>Atomic Spectra

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

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Physics>Modern Physics>Atoms>Atomic Spectra

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

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 ________

EASY

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)

With what potential an electron should be accelerated so that its de Broglie wave-length becomes equal to the wave length of second line of Balmer series for He+ ion ?

Important Questions on Atoms

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With what potential an electron should be accelerated so that its de Broglie wave-length becomes equal to the wave length of second line of Balmer series for ${He}^{+}$ ion ?