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

HARD

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For Balmer series in the spectrum of atomic hydrogen, the wave number of each line is given by

$v = R_{H} (\frac{1}{{n_{1}}^{2}} - \frac{1}{{n_{2}}^{2}})$

where $R_{H}$ is a constant and $n_{1}$ and $n_{2}$ are integers.

Which of the following statement(s) is (are) correct?

1. As wavelength decreases, the lines in the series converge

2. The integer $n_{1}$ is equal to $2$

3. The ionization energy of hydrogen can be calculated from the wave numbers of these lines

4. The line of longest wavelength corresponds to $n_{2} = 3$

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Important Questions on Atomic Physics

HARD

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

Explain the different types of spectral series.

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

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 ?

EASY

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

The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from

n = 2

n = 1

state is:

EASY

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

The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region?

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 eV

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

13.6 eV

)

EASY

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

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 ________.

MEDIUM

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

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

MEDIUM

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

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

HARD

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

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

In the discharge tube as the density of atom increases, the intensity of spectral lines

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

EASY

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

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>Atomic Physics>Emission and Absorption Spectrum

R

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

EASY

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

The spectrum formed by an ordinary tubelight is a/an

EASY

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

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

MEDIUM

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

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

HARD

Physics>Modern Physics>Atomic Physics>Emission and Absorption 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>Atomic Physics>Emission and Absorption 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)

Important Questions on Atomic Physics

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