P
ractice
roblems
3.0
Atomic Structure
JPP 1
Ashwani Tyagi
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P
ractice
roblems
3.0
Atomic Structure
JPP 1
Ashwani Tyagi
1
Positronium consists of an electron and a positron (a particle which has
the same mass as an electron, but opposite charge) orbiting round their
common centre of mass. Calculate the value of the Rydberg constant for
this system.
A. R/2
B. R/4
C. 2R
D. R
2
A certain dye absorbs light of wavelength 4500 Ao and then fluorescence
light of 5000 Ao. Assuming that, under given conditions 50% of the
absorbed energy is re-emitted out as fluorescence.
Calculate the ratio of quanta emitted to the number of quanta absorbed?
A. 0.55
B. 2.1
C. 1.8
D. 0.75
3
An electron in an atom jumps in such a way that its kinetic energy
changes from x to x/4 . The change in its potential energy will be
A. +3x/2
B. -3x/8
C. +3x/4
D. -3x/4
4
The ionization potential for an electron in ground state of the hydrogen atom
is 13.6 eV. What would be the ionization potential for the electron in the first
excited state of H atom?
A. 13.6 eV
B. 6.8 eV
C. 3.4eV
D. 27.2 eV
Comprehension-I
5
Let us assume a different atomic model in which electron revolves around the
nucleus (proton) at a separation r under the action of force which is different
form electrostatic force of attraction. The potential energy between an electron
and the proton due to this force is given by U = –k/r4, where k is a constant. This
hypothetical atom is obeying Bohr’s quantization condition.
5. The radius of nth Bohr’s orbit is
A.
B.
C.
D.
r=
r=
r=
r=
(𝞹/nh)√km
(2𝞹/nh)√km
(4𝞹/nh)√km
(8𝞹/nh)√km
Comprehension-I
6
Let us assume a different atomic model in which electron revolves around the
nucleus (proton) at a separation r under the action of force which is different
form electrostatic force of attraction. The potential energy between an electron
and the proton due to this force is given by U = –k/r4, where k is a constant. This
hypothetical atom is obeying Bohr’s quantization condition.
6. The speed of electron in the nth orbit is
r
C.
A.
r
r
B. r
D.
Comprehension-I
7
Let us assume a different atomic model in which electron revolves around the
nucleus (proton) at a separation r under the action of force which is different
form electrostatic force of attraction. The potential energy between an electron
and the proton due to this force is given by U = –k/r4, where k is a constant. This
hypothetical atom is obeying Bohr’s quantization condition.
7. The total energy of the electron in the nth orbit is
A.
C.
B.
D.
Comprehension-II
8
A hydrogen-like atom (atomic number Z) is in a higher excited state of quantum
number n. This excited atom can make a transition to the first excited state by
successively emitting two photons of energies 10.20 and 17.00 eV, respectively.
Alternatively, the atom from the same excited state can make a transition to the
second excited state by successively emitting two photons of energies 4.25 and
5.9 eV, respectively.
8. The value of ‘n’ is
A. 4
B. 5
C. 6
D. 7
Comprehension-II
9
A hydrogen-like atom (atomic number Z) is in a higher excited state of quantum
number n. This excited atom can make a transition to the first excited state by
successively emitting two photons of energies 10.20 and 17.00 eV, respectively.
Alternatively, the atom from the same excited state can make a transition to the
second excited state by successively emitting two photons of energies 4.25 and
5.9 eV, respectively.
9. The value of ‘Z’ is
A. 2
B. 3
C. 4
D. 5
Comprehension-II
10
A hydrogen-like atom (atomic number Z) is in a higher excited state of quantum
number n. This excited atom can make a transition to the first excited state by
successively emitting two photons of energies 10.20 and 17.00 eV, respectively.
Alternatively, the atom from the same excited state can make a transition to the
second excited state by successively emitting two photons of energies 4.25 and
5.9 eV, respectively.
10.How much energy will be emitted when an electron in this atom moves
from (n + 1) to ground state?
A. 114.75 eV
B. 117.5 eV
C. 119.9 eV
D. 122.74 eV
Comprehension-III
11
When a sample of hydrogen atoms is irradiated by electromagnetic radiations of
suitable wavelength, all the electrons jump from the ground state to the fifth
orbit. As the electrons cannot remain permanently in the fifth orbit, they
de-excites to the ground state making one or more than one transitions. Each
transition results the emission of an electromagnetic radiation of a particular
wavelength. When these radiations pass through a prism, they deviate with
different angles resulting in the spectral lines.
11.What is the maximum number of spectral lines, if the sample is
containing only one atom?
A. 4
B. 5
C. 6
D. 10
Comprehension-III
12
When a sample of hydrogen atoms is irradiated by electromagnetic radiations of
suitable wavelength, all the electrons jump from the ground state to the fifth
orbit. As the electrons cannot remain permanently in the fifth orbit, they
de-excites to the ground state making one or more than one transitions. Each
transition results the emission of an electromagnetic radiation of a particular
wavelength. When these radiations pass through a prism, they deviate with
different angles resulting in the spectral lines.
12.What is the maximum number of spectral lines, if the sample is
containing only two atoms?
A. 7
B. 5
C. 6
D. 10
Comprehension-III
12
When a sample of hydrogen atoms is irradiated by electromagnetic radiations of
suitable wavelength, all the electrons jump from the ground state to the fifth
orbit. As the electrons cannot remain permanently in the fifth orbit, they
de-excites to the ground state making one or more than one transitions. Each
transition results the emission of an electromagnetic radiation of a particular
wavelength. When these radiations pass through a prism, they deviate with
different angles resulting in the spectral lines.
13.What is the maximum number of spectral lines, if the sample is contains
infinite atoms?
A. 7
B. 5
C. 6
D. 10
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