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JEE Structure of Atom PYQs with Solutions

526 previous year questions from Structure of Atom (JEE Main & Advanced Chemistry) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

526 questionsChemistry2006–2026Answers + solutions

About Structure of Atom PYQs

Structure of Atom has 526 previous year questions in the Quantrex Academy JEE Main & Advanced Chemistry bank. The 220 questions in this list come from JEE Main (189) and JEE Advanced (31), spanning 2006 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 29
  • 2025: 23
  • 2024: 30
  • 2023: 30
  • 2022: 25
  • 2021: 29
  • 2020: 14
  • 2019: 19
  • 2017: 3
  • 2016: 1
  • 2015: 1
  • 2014: 1

Structure of Atom questions with solutions

1

The 2s and the 2p orbital energies of hydrogen atom are E_ 2s (H) and E_ 2p (H) , respectively. The 2s and the 2p orbital energies of lithium atom are E_ 2s (Li) and E_ 2p (Li)

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2

X^ a+ and Y^ b+ are hydrogen-like species. The wavelength of light absorbed during the transition between the states with principal quantum numbers n = 1 and n = 2 of X^ a+ is λ .

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3

Consider two radiations of wavelengths 1. λ_1 = 2000 Å 2. λ_2 = 6000 Å The ratio of the energies of these two radiations ((E_1)/(E_2)) is ________ (Nearest integer).

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4

The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary state (n) are respectively (Given : Hydrogen atom Bohr radius is 52.9 pm)

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5

If shortest wavelength of hydrogen atom in Lyman series is x , then longest wavelength in Balmer series of He^+ is:

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6

Match the LIST-I with LIST-II List-I Orbital List-II Radial nodes and nodal plane A. 2s I. 1 Radial node + two nodal planes B. 3s II. 1 Radial node + one nodal plane C. 3p III. 2

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7

Which of the following statement(s) is/are true ? A. If two orbitals have the same value of (n + l) , the orbital with lower value of n will have lower energy. B. Energies of the

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8

Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. A. n = 3, l = 2, m = +1 B. n = 4, l = 0, m = 0 C. n = 6, l = 1, m = 0 D. n = 5, l = 1

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9

Identify the correct statements from the following: A. Heisenberg uncertainty principle is applicable to electrons. B. The size of 2p_x orbital is less than the size of 3p_x

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10

The species having identical radii according to the Bohr's theory are: A. H (first orbit) B. He^+ (first orbit) C. He^+ (Second orbit) D. Li^ 2+ (first orbit) E. Be^ 3+ (Second

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11

What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?

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12

Which of the following is correct set of 4 quantum numbers of 19^ th electron in Chromium (Atomic number = 24 ) in accordance with Aufbau principle?

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13

A monoatomic anion (A^-) has 45 neutrons and 36 electrons. Atomic mass, group in the periodic table and physical state at room temperature of the element (A) respectively are

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14

The surface of sodium metal is irradiated with radiation of wavelength x nm. The kinetic energy of ejected electrons is 2.8 × 10^ -20 J. The work function of sodium is 2.3 eV. The

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15

What is the energy (in J atom ^ -1 ) required for the following process? Li^ 2+ (g) arrow Li^ 3+ (g) + e^- (Take the ionization energy for the H atom in the ground state as 2.18 ×

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16

The wavelength of photon ' A ' is 400 nm. The frequency of photon ' B ' is 10^ 16 ~s^ -1 . The wave number of photon ' C^ is 10^ 4 ~cm^ -1 . The correct order of energy of these

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17

Two positively charged particles m_ 1 and m_ 2 have been accelerated across the same potential difference of 200 keV as shown below. [Given mass of m_ 1 =1 amu and m_ 2 =4 amu]

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18

The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series. ( R= Rydberg constant)

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19

Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1?

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20

The wavelength of spectral line obtained in the spectrum of Li^ 2+ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is

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21

The hydrogen spectrum consists of several spectral lines in Lyman series ( L_ 1 , ~L_ 2 , L_ 3 … ; L_ 1 has lowest energy among Lyman series). Similarly it consists of several

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22

The work functions of two metals (M_ A . and .M_ B ) are in the 1: 2 ratio. When these metals are exposed to photons of energy 6 eV, the kinetic energy of liberated electrons of

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23

Identify the INCORRECT statements from the following: A. Notation _ 12 ^ 24 Mg represents 24 protons and 12 neutrons. B. Wavelength of a radiation of frequency 4.5 × 10^ 15 ~s^ -1

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24

Given, (A) n=5, ~m_ 1 =-1 (B) n=3, l=2, ~m_ 1 =-1, ~m_ s =+(1)/(2) The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B)

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25

Which of the following statements regarding the energy of the stationary state is true in the following one - electron systems ?

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26

The energy of first (lowest) Balmer line of H atom is x ~J . The energy (in J) of second Balmer line of H atom is :

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27

The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is \_\_\_\_ J mol^ -1 . Given: R_ H =2.18 × 10^ -11 ergs .

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28

Consider the following spectral lines for atomic hydrogen : A. First line of Paschen series B. Second line of Balmer series C. Third line of Paschen series D. Fourth line of

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29

Given below are two statements : Statement I : When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited

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30

The energy of an electron in first Bohr orbit of H -atom is -13.6 eV. The magnitude of energy value of electron in the first excited state of Be^ 3+ is ________ eV. (nearest

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31

Correct statements for an element with atomic number 9 are A. There can be 5 electrons for which m_ s =+(1)/(2) and 4 electrons for which m_ s =-(1)/(2) B. There is only one

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32

The extra stability of half-filled subshell is due to (A) Symmetrical distribution of electrons (B) Smaller coulombic repulsion energy (C) The presence of electrons with the same

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33

Which of the following statements are correct, if the threshold frequency of caesium is 5.16 × 10^ 14 ~Hz ? A. When Cs is placed inside a vacuum chamber with an ammeter connected

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34

Consider the ground state of chromium atom (Z=24) . How many electrons are with Azimuthal quantum number l=1 and l=2 respectively ?

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35

Which one of the following about an electron occupying the 1 s orbital in a hydrogen atom is incorrect ? (Bohr's radius is represented by a a_0 )

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36

For electron in ' 2 s ' and ' 2 p ' orbitals, the orbital angular momentum values, respectively are :

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37

Which of the following postulate of Bohr's model of hydrogen atom in not in agreement with quantum mechanical model of an atom ?

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38

Which of the following statements are true? (A) The subsidiary quantum number l describes the shape of the orbital occupied by the electron. (B) is the boundary surface diagram of

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39

According to Bohr's model of hydrogen atom, which of the following statement is incorrect?

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40

For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for a constant n ? [E: Energy of the stationary state, Z

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41

The calculated spin-only magnetic moments of K_3[Fe(OH)_6] and K_4[Fe(OH)_6] respectively are :

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42

Given below are two statements : Statement (I) : It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.

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43

Given below are two statements : Statement (\(I\)): The radii of isoelectronic species increases in the order. \(Mg^ 2+ Na^ + F^ - O^ 2- \) Statement (II): The magnitude of

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44

If \(a_0\) is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength \((λ)\) of the electron present in the second orbit of hydrogen atom? [n : any

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45

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom? (A) 1 ~s 2 p 3 ~d 4 ~s (B) 1 ~s 2 ~s=2 p 3 ~s=3 p (C) 1 ~s 2 ~s 2 p 3 ~s 3 p

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46

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields? A. n=1, l=0, ~m_1=0

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47

For hydrogen atom, the orbital/s with lowest energy is/are : (A) 4 s (B) 3 p_x (C) 3 ~d_ x^2-y^2 (D) 3 ~d_ z^2 (E) 4 p_z Choose the correct answer from the options given below :

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48

Given below are two statements : Statement (I) : For a given shell, the total number of allowed orbitals is given by n^2 . Statement (II) : For any subshell, the spatial

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49

Given below are two statements about X-ray spectra of elements : Statement (I) : A plot of v ( v= frequency of X -rays emitted) vs atomic mass is a straight line. Statement (II)

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50

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this? Given : Rydberg constant R_ H =10^5 ~cm^ -1

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51

Given below are two statements : Statement (I) : A spectral line will be observed for a 2 p_x arrow 2 p_y transition. Statement (II) : 2 P_x and 2 p_y are degenerate orbitals. In

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52

Radius of the first excited state of Helium ion is given as : a_0 arrow radius of first stationary state of hydrogen atom.

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53

According to Bohr's model, the highest kinetic energy is associated with the electron in the

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54

Among the following, the correct statement(s) for electrons in an atom is(are)

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55

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency ' \(A\) ' \(× 10^ 12 \) hertz and that has a radiant

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56

The electronic configuration of Einsteinium is : (Given atomic number of Einsteinium \(=99)\)

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57

Match List I with List II \( List - I (Element) List - II (Electronic configuration) A. N I. [Ar] 3 d^ 10 4 s² 4 p⁵ AR B. S II. [Ne] 3 s² 3 p⁴ C. Br III. [He] 2 s² 2 p³ D. Kr IV.

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58

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter \(10^ -15 ~m \) is ________. \(10^9

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59

Compare the energies of following sets of quantum numbers for multielectron system. (A) \( n= 4,1=1\) (B) \( n= 4, l= 2\) (C) \( n= 3,1=1\) (D) \( n= 3,1=2\) (E) \( n= 4,1=0\)

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60

Wavenumber for a radiation having \(5800 Ã…\) wavelength is \(x × 10 ~cm^ -1 \). The value of \(x\) is ________ (Integer answer)

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61

A hypothetical electromagnetic wave is show below. The frequency of the wave is \(x × 10^ 19 ~Hz\). \(x =\) ______ (nearest integer)

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62

Consider the following reactions \(NiS+HNO_ 3 + HCl arrow A+NO+S+H_ 2 O\) aligned A+NH_ 4 OH+H_ 3 C-C & = N-OH | H_ 3 C-C & = N-OH aligned arrow B+NH _ 4 Cl+H_ 2 O The number of

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63

For hydrogen atom, energy of an electron in first excited state is \(-3.4 eV, K . E \). of the same electron of hydrogen atom is \(x eV \). Value of \(x\) is ______ \( × 10^ -1 eV

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64

Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is _______ \(× 10^ 13 Hz\) (nearest integer). aligned & [Given : R_ H ( Rydberg constant )=2.18

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65

In an atom, total number of electrons having quantum numbers \(n=4,|~m_l|=1\) and \(m_ s =-(1)/(2)\) is ______

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66

The incorrect postulates of the Dalton's atomic theory are : (A) Atoms of different elements differ in mass. (B) Matter consists of divisible atoms. (C) Compounds are formed when

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67

The value of Rydberg constant \( ( R_H)\) is \(2.18 × 10^ -18 ~J \). The velocity of electron having mass \(9.1 × 10^ -31 ~kg \) in Bohr's first orbit of hydrogen atom \(=\)

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68

Choose the Incorrect Statement about Dalton's Atomic Theory

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69

The maximum number of orbitals which can be identified with \(n=4\) and \(m_l=0\) is ______

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70

The de-Broglie's wavelength of an electron in the \(4^ th \) orbit is \( \) \(π a_0 ·(a_0=.\) Bohr's radius \()\)

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71

The number of radial node/s for 3p orbital is:

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72

According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron (λ) and

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73

The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19 ) are

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74

The ionization energy of sodium in kJ mol ^ – 1 . If electromagnetic radiation of wavelength 242nm is just sufficient to ionize sodium atom is ______.(nearest integer)

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75

Number of spectral lines obtained in He ^ + spectra, when an electron makes transition from fifth excited state to first excited state will be

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76

Given below are two statements: Statement-I: The orbitals having same energy are called as degenerate orbitals. Statement-II: In hydrogen atom, 3p and 3d orbitals are not

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77

Match List I with List II Choose the correct answer from the options given below :-

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78

The correct set of four quantum numbers for the valence electron of rubidium atom ( Z = 37 ) is:

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79

Total number of ions from the following with noble gas configuration is Sr ^ 2 + ( Z = 38 ) , Cs ^ + ( Z = 55 ) , La ^ 2 + ( Z = 57 ) Pb ^ 2 + ( Z = 82 ) , Yb ^ 2 + ( Z = 70 ) and

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80

The electronic configuration for Neodymium is: [Atomic Number for Neodymium 60]

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81

Which of the following electronic configuration would be associated with the highest magnetic moment ?

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82

The number of electrons present in all the completely filled subshells having n = 4 and s = + (1)/(2) is ____ (Where n = principal quantum number and s = spin quantum number)

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83

For He ^ + , a transition takes place from the orbit of radius 105 . 8pm to the orbit of radius 26 . 45pm . The wavelength (in nm ) of the emitted photon during the transition is

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84

Given below are two statements Statement I : According to Bohr’s model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.

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85

The total number of isoelectronic species from the given set is ________. O ^ 2 - , F ^ – , Al, Mg ^ 2 + , Na ^ + , O ^ + , Mg, Al ^ 3 + , F

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86

The orbital angular momentum of an electron in 3s orbital is (xh)/(2π) . The value of x is (nearest integer)

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87

The energy of an electron in the first Bohr orbit of hydrogen atom is - 2 . 18 × 10 ^ - 18 J Its energy in the third Bohr orbit is _______ .

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88

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : 5f electron can participate in bonding to a far greater extent

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89

Values of work function ( W _ 0 ) for a few metals are given below Metal Li Na K Mg Cu Ag W _ 0 eV 2 . 42 2 . 3 2 . 25 3 . 7 4 . 8 4 . 3 The number of metals which will show

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90

The number of correct statements from the following is ........... A. For 1s orbital, the probability density is maximum at the nucleus B. For 2s orbital, the probability density

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91

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A: In the photoelectric effect, the electrons are ejected from

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92

The electron in the n ^ th orbit of Li ^ 2 + is excited to ( n + 1 ) orbit using the radiation of energy 1 . 47 × 10 ^ - 17 J (as shown in the diagram). The value of n is

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93

For a metal ion, the calculated magnetic moment is 4 . 90BM . This metal ion has _______ number of unpaired electrons

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94

Henry Moseley studied characteristic X -ray spectra of elements. The graph which represents his observation correctly is Given v = Frequency of X-ray emitted Z = Atomic number

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95

The number of atomic orbitals from the following having 5 radial nodes is 7s, 7p, 6s, 8p, 8d

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96

The number of following statement/s which is/are incorrect is ______ A) Line emission spectra are used to study the electronic structure B) The emission spectra of atoms in the

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97

If the radius of the first orbit of hydrogen atom is a _ 0 , then de Broglie’s wavelength of electron in 3 ^ rd orbit is

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98

The wavelength of an electron of kinetic energy 4 . 50 × 10 ^ - 29 J is ________ × 10 – 5m . (Nearest integer) Given: mass of electron is 9 × 10 – 31kg, h = 6 . 6 × 10 – 34Js

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99

Which one of the following sets of ions represents a collection of isoelectronic species? (Given : Atomic Number : F: 9, Cl: 17, Na = 11 Mg = 12, Al = 13, K = 19, Ca = 20, Sc = 21

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100

Electrons in a cathode ray tube have been emitted with a velocity of 1000 ms ^ - 1 . The number of following statements which is/are true about the emitted radiation is Given : h

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101

Arrange the following orbitals in decreasing order of energy. A. n = 3, l = 0, m = 0 B. n = 4, l = 0, m = 0 C. n = 3, l = 1, m = 0 D. n = 3, l = 2, m = 1 The correct option for

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102

Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from n = 4 to n = 2 of He ^ + spectrum

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103

The wave function (Ψ) of 2s is given by Ψ _ 2s = 1 2 2π ( 1 a _ 0 ) ^ 1 / 2 (2 - r a _ 0 ) e ^ - r / 2 a _ 0 At r = r _ 0 , radial node is formed. Thus, r _ 0 in terms of a _ 0

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104

Maximum number of electrons that can be accommodated in shell with n = 4 are:

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105

The energy of one mole of photons of radiation of frequency 2 × 10 ^ 12 Hz in Jmol ^ - 1 is _____ . (Nearest integer) (Given: h = 6 . 626 × 10 ^ - 34 Js N _ A = 6 . 022 × 10 ^ 23

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106

Assume that the radius of the first Bohr orbit of hydrogen atom is 0 . 6 Å . The radius of the third Bohr orbit of He ^ + is _____ picometer. (Nearest Integer)

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107

The shortest wavelength of hydrogen atom in Lyman series is λ . The longest wavelength in Balmer series of He ^ + is

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108

The number of given orbitals which have electron density along the axis is p _ x , p _ y , p _ z , d _ xy , d _ yz , d _ xz , d _ z ^ 2 , d _ x ^ 2 - y ^ 2

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109

The radius of the 2 nd orbit of Li ^ 2 + is x . The expected radius of the 3 rd orbit of Be ^ 3 + is

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110

Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the following is _______. A. T 4 > T 3 > T 2 > T 1 B.

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111

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power 'n' i.e. v ^ n of X-rays emitted is plotted against atomic number

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112

If wavelength of the first line of the Paschen series of hydrogen atom is 720nm , then the wavelength of the second line of this series is _______ nm . (Nearest integer)

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113

Given below are the quantum numbers for 4 electrons. A. n = 3, l = 2, m _ 1 = 1, m _ s = + (1)/(2) B. n = 4, l = 1, m _ 1 = 0, m _ s = + (1)/(2) C. n = 4, l = 2, m _ 1 = - 2, m _

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114

The minimum uncertainty in the speed of an electron in one dimensional region of length 2 a _ o (Where a _ o = Bohr radius 52 . 9pm ) is____ kms ^ - 1 (Nearest integer) (Given

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115

Which of the following pair is not isoelectronic species? (Atomic numbers Sm = 62; Er = 68; Yb = 70; Lu = 71; Eu = 63; Tb = 65; Tm = 69 )

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116

If the wavelength for an electron emitted from H - atom is 3 . 3 × 10 ^ - 10 m , then energy absorbed by the electron in its ground state compared to minimum energy required for

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117

Identify the incorrect statement from the following.

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118

The correct decreasing order of energy, for the orbitals having, following set of quantum numbers: (A) n = 3, 1 = 0, m = 0 (B) n = 4, l = 0, m = 0 (C) n = 3, l = 1, m = 0 (D) n =

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119

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R . Assertion A : Energy of 2s orbital of hydrogen atom is greater than that of

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120

Consider an imaginary ion X 3 - 2248 . The nucleus contains ' a ' % more neutrons than the number of electrons in the ion. The value of ' a ' is

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