Structure of Atom · Chemistry · JEE Main

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MCQ (Single Correct Answer)

1

Correct statements for an element with atomic number 9 are:

A. There can be 5 electrons for which $m_s = +\frac{1}{2}$ and 4 electrons for which $m_s = -\frac{1}{2}$.

B. There is only one electron in $p_z$ orbital.

C. The last electron goes to orbital with $n = 2$ and $l = 1$.

D. The sum of angular nodes of all the atomic orbitals is 1.

Choose the correct answer from the options given below:

JEE Main 2025 (Online) 8th April Evening Shift
2

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 spin in non-degenerate orbitals

(D) Larger exchange energy

(E) Relatively smaller shielding of electrons by one another

Indentify the correct statements :

JEE Main 2025 (Online) 7th April Evening Shift
3
JEE Main 2025 (Online) 7th April Morning Shift Chemistry - Structure of Atom Question 6 English

Which of the following statements are correct, if the threshold frequency of caesium is $5.16 \times$ $10^{14} \mathrm{~Hz}$ ?

A. When Cs is placed inside a vacuum chamber with an ammeter connected to it and yellow light is focused on Cs , the ammeter shows the presence of current.

B. When the brightness of the yellow light is dimmed, the value of the current in the ammeter is reduced.

C. When a red light is used instead of the yellow light, the current produced is higher with respect to the yellow light.

D. When a blue light is used, the ammeter shows the formation of current.

E. When a white light is used. the ammeter shows formation of current.

Choose the correct answer from the options given below:

JEE Main 2025 (Online) 7th April Morning Shift
4

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

JEE Main 2025 (Online) 4th April Evening Shift
5

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 $\mathrm{a}_0$)

JEE Main 2025 (Online) 4th April Morning Shift
6

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

JEE Main 2025 (Online) 3rd April Evening Shift
7
Which of the following postulate of Bohr's model of hydrogen atom is not in agreement with quantum mechanical model of an atom?
JEE Main 2025 (Online) 3rd April Morning Shift
8

Which of the following statements are true?

(A) The subsidiary quantum number $l$ describes the shape of the orbital occupied by the electron.

(B) JEE Main 2025 (Online) 2nd April Evening Shift Chemistry - Structure of Atom Question 7 English is the boundary surface diagram of the $2 \mathrm{p}_x$ orbital.

(C) The + and - signs in the wave function of the $2 p_x$ orbital refer to charge.

(D) The wave function of $2 \mathrm{p}_x$ orbital is zero everywhere in the $x y$ plane.

Choose the correct answer from the options given below :

JEE Main 2025 (Online) 2nd April Evening Shift
9

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

JEE Main 2025 (Online) 2nd April Morning Shift
10

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 : atomic number, n = principal quantum number]

JEE Main 2025 (Online) 29th January Evening Shift
11

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.

Statement (II) : If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is $\geqslant \sqrt{\frac{h}{\pi}} \times \frac{1}{2 m}$.

In the light of the above statements, choose the correct answer from the options given below :

JEE Main 2025 (Online) 29th January Evening Shift
12

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 integer]

JEE Main 2025 (Online) 29th January Morning Shift
13

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom?

(A) 1s < 2p < 3d < 4s

(B) 1s < 2s = 2p < 3s = 3p

(C) 1s < 2s < 2p < 3s < 3p

(D) 1s < 2s < 4s < 3d

Choose the correct answer from the options given below :

JEE Main 2025 (Online) 28th January Evening Shift
14

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. $\mathrm{n}=1, \mathrm{l}=0, \mathrm{~m}_1=0$

B. $\mathrm{n}=2, \mathrm{l}=0, \mathrm{~m}_1=0$

C. $\mathrm{n}=2, \mathrm{I}=1, \mathrm{~m}_1=1$

D. $\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=1$

E. $\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=0$

Choose the correct answer from the options given below:

JEE Main 2025 (Online) 28th January Morning Shift
15

For hydrogen atom, the orbital/s with lowest energy is/are :

(A) $\mathrm{4 s}$

(B) $3 \mathrm{p}_x$

(C) $3 \mathrm{~d}_{x^2-y^2}$

(D) $3 \mathrm{~d}_{z^2}$

(E) $4 \mathrm{p}_z$

Choose the correct answer from the options given below :

JEE Main 2025 (Online) 24th January Evening Shift
16

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 orientation of the orbitals is given by $-l$ to $+l$ values including zero.

In the light of the above statements, choose the correct answer from the options given below :

JEE Main 2025 (Online) 23rd January Evening Shift
17

Given below are two statements about X-ray spectra of elements :

Statement (I) : A plot of $\sqrt{v}$ ( $v=$ frequency of X-rays emitted) vs atomic mass is a straight line.

Statement (II) : A plot of $v(\nu=$ frequency of $X$-rays emitted) vs atomic number is a straight line. In the light of the above statements, choose the correct answer from the options given below :

JEE Main 2025 (Online) 23rd January Evening Shift
18

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 $\left.\mathrm{R}_{\mathrm{H}}=10^5 \mathrm{~cm}^{-1}, \mathrm{~h}=6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s}, \mathrm{c}=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right)$

JEE Main 2025 (Online) 23rd January Morning Shift
19

Given below are two statements :

Statement (I) : A spectral line will be observed for a $2 p_x \rightarrow 2 p_y$ transition.

Statement (II) : $2 \mathrm{p}_x$ and $2 \mathrm{p}_y$ are degenerate orbitals.

In the light of the above statements, choose the correct answer from the options given below :

JEE Main 2025 (Online) 22nd January Evening Shift
20

Radius of the first excited state of Helium ion is given as : $\mathrm{a}_0 \rightarrow$ radius of first stationary state of hydrogen atom.

JEE Main 2025 (Online) 22nd January Morning Shift
21

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency '$$A$$' $$\times 10^{12}$$ hertz and that has a radiant intensity in that direction of $$\frac{1}{{ 'B'}}$$, watt per steradian. '$$A$$' and '$$B$$' are respectively

JEE Main 2024 (Online) 9th April Evening Shift
22

Compare the energies of following sets of quantum numbers for multielectron system.

(A) $$\mathrm{n}=4,1=1$$

(B) $$\mathrm{n}=4,1=2$$

(C) $$\mathrm{n}=3, \mathrm{l}=1$$

(D) $$\mathrm{n}=3,1=2$$

(E) $$\mathrm{n}=4,1=0$$

Choose the correct answer from the options given below :

JEE Main 2024 (Online) 9th April Morning Shift
23

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 atoms of different element combine in a fixed ratio.

(D) All the atoms of given element have different properties including mass.

(E) Chemical reactions involve reorganisation of atoms.

Choose the correct answer from the options given below :

JEE Main 2024 (Online) 5th April Morning Shift
24

Choose the Incorrect Statement about Dalton's Atomic Theory

JEE Main 2024 (Online) 4th April Evening Shift
25
The number of radial node/s for $3 p$ orbital is :
JEE Main 2024 (Online) 1st February Evening Shift
26
In case of isoelectronic species the size of $\mathrm{F}^{-}, \mathrm{Ne}$ and $\mathrm{Na}^{+}$is affected by :
JEE Main 2024 (Online) 1st February Morning Shift
27
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 $(\lambda)$ and momentum of electron $(p)$?
JEE Main 2024 (Online) 1st February Morning Shift
28

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

JEE Main 2024 (Online) 31st January Evening Shift
29

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 degenerate orbitals.

In the light of the above statements, choose the most appropriate answer from the options given below :

JEE Main 2024 (Online) 30th January Morning Shift
30

Match List I with List II

List - I
(Spectral Series for Hydrogen)
List - II
(Spectral Region/Higher Energy State)
(A) Lyman (I) Infrared region
(B) Balmer (II) UV region
(C) Paschen (III) Infrared region
(D) Pfund (IV) Visible region

Choose the correct answer from the options given below:

JEE Main 2024 (Online) 29th January Evening Shift
31

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

JEE Main 2024 (Online) 29th January Morning Shift
32
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.

Statement II : The concept of electron in Bohr's orbit, violates the Heisenberg uncertainty principle.

In the light of the above statements, choose the most appropriate answer from the options given below:
JEE Main 2023 (Online) 15th April Morning Shift
33

The energy of an electron in the first Bohr orbit of hydrogen atom is $$-2.18 \times 10^{-18} \mathrm{~J}$$. Its energy in the third Bohr orbit is ____________.

JEE Main 2023 (Online) 13th April Morning Shift
34

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 the metal surface as soon as the beam of light of frequency greater than threshold frequency strikes the surface.

Reason R : When the photon of any energy strikes an electron in the atom, transfer of energy from the photon to the electron takes place.

In the light of the above statements, choose the most appropriate answer from the options given below :

JEE Main 2023 (Online) 11th April Morning Shift
35

Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is

Given $$v=$$ frequency of $$\mathrm{X}$$-ray emitted

Z = atomic number

JEE Main 2023 (Online) 8th April Evening Shift
36

If the radius of the first orbit of hydrogen atom is $$\alpha_{0}$$, then de Broglie's wavelength of electron in $$3^{\text {rd }}$$ orbit is :

JEE Main 2023 (Online) 6th April Evening Shift
37

Which one of the following sets of ions represents a collection of isoelectronic species?

(Given : Atomic Number : $$\mathrm{F:9,Cl:17,Na=11,Mg=12,Al=13,K=19,Ca=20,Sc=21}$$)

JEE Main 2023 (Online) 1st February Evening Shift
38
Arrange the following orbitals in decreasing order of energy.

A. $\mathrm{n}=3, \mathrm{l}=0, \mathrm{~m}=0$

B. $\mathrm{n}=4, \mathrm{l}=0, \mathrm{~m}=0$

C. $\mathrm{n}=3, \mathrm{l}=1, \mathrm{~m}=0$

D. $\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}=1$

The correct option for the order is :
JEE Main 2023 (Online) 31st January Evening Shift
39

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

JEE Main 2023 (Online) 31st January Morning Shift
40
Maximum number of electrons that can be accommodated in shell with $n=4$ are:
JEE Main 2023 (Online) 30th January Evening Shift
41
The wave function $(\Psi)$ of $2 \mathrm{~s}$ is given by

$$ \Psi_{2 \mathrm{~s}}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2 a_0} $$

At $r=r_0$, radial node is formed. Thus, $r_0$ in terms of $a_0$
JEE Main 2023 (Online) 30th January Evening Shift
42

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

JEE Main 2023 (Online) 29th January Morning Shift
43

The radius of the $$\mathrm{2^{nd}}$$ orbit of $$\mathrm{Li^{2+}}$$ is $$x$$. The expected radius of the $$\mathrm{3^{rd}}$$ orbit of $$\mathrm{Be^{3+}}$$ is

JEE Main 2023 (Online) 25th January Morning Shift
44

The number of s-electrons present in an ion with 55 protons in its unipositive state is

JEE Main 2023 (Online) 24th January Evening Shift
45

The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is

JEE Main 2023 (Online) 24th January Morning Shift
46

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 "Z", following graph is obtained.

JEE Main 2023 (Online) 24th January Morning Shift Chemistry - Structure of Atom Question 61 English

The value of 'n' is :

JEE Main 2023 (Online) 24th January Morning Shift
47

Given below are the quantum numbers for 4 electrons.

A. $$\mathrm{n}=3,l=2, \mathrm{~m}_{1}=1, \mathrm{~m}_{\mathrm{s}}=+1 / 2$$

B. $$\mathrm{n}=4,l=1, \mathrm{~m}_{1}=0, \mathrm{~m}_{\mathrm{s}}=+1 / 2$$

C. $$\mathrm{n}=4,l=2, \mathrm{~m}_{1}=-2, \mathrm{~m}_{\mathrm{s}}=-1 / 2$$

D. $$\mathrm{n}=3,l=1, \mathrm{~m}_{1}=-1, \mathrm{~m}_{\mathrm{s}}=+1 / 2$$

The correct order of increasing energy is :

JEE Main 2022 (Online) 29th July Evening Shift
48

Given below are two statements: One is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$

Assertion $$\mathbf{A}$$ : Zero orbital overlap is an out of phase overlap.

Reason $$\mathbf{R}$$ : It results due to different orientation / direction of approach of orbitals.

In the light of the above statements, choose the correct answer from the options given below

JEE Main 2022 (Online) 28th July Evening Shift
49

Identify the incorrect statement from the following.

JEE Main 2022 (Online) 28th July Morning Shift
50

The correct decreasing order of energy for the orbitals having, following set of quantum numbers :

(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

is :

JEE Main 2022 (Online) 27th July Evening Shift
51

Outermost electronic configurations of four elements A, B, C, D are given below :

(A) $$3 s^{2}$$

(B) $$3 s^{2} 3 p^{1}$$

(C) $$3 s^{2} 3 p^{3}$$

(D) $$3 s^{2} 3 p^{4}$$

The correct order of first ionization enthalpy for them is :

JEE Main 2022 (Online) 27th July Evening Shift
52

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Energy of $$2 \mathrm{s}$$ orbital of hydrogen atom is greater than that of $$2 \mathrm{s}$$ orbital of lithium.

Reason R: Energies of the orbitals in the same subshell decrease with increase in the atomic number.

In the light of the above statements, choose the correct answer from the options given below.

JEE Main 2022 (Online) 27th July Morning Shift
53

Which of the following sets of quantum numbers is not allowed?

JEE Main 2022 (Online) 25th July Morning Shift
54

The number of radial nodes and total number of nodes in 4p orbital respectively are :

JEE Main 2022 (Online) 30th June Morning Shift
55

Which of the following is the correct plot for the probability density $${\psi ^2}$$ (r) as a function of distance 'r' of the electron from the nucleus for 2s orbital?

JEE Main 2022 (Online) 29th June Evening Shift
56

Which of the following statements are correct?

(A) The electronic configuration of Cr is [Ar] 3d5 4s1.

(B) The magnetic quantum number may have a negative value.

(C) In the ground state of an atom, the orbitals are filled in order of their increasing energies.

(D) The total number of nodes are given by n $$-$$ 2.

Choose the most appropriate answer from the options given below :

JEE Main 2022 (Online) 29th June Morning Shift
57

Consider the following statements :

(A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2, 3, ...

(B) The azimuthal quantum number 'l' for a given 'n' (principal quantum number) can have values as 'l' = 0, 1, 2, ...... n

(C) Magnetic orbital quantum number 'ml' for a particular 'l' (azimuthal quantum number) has (2l + 1) values.

(D) $$\pm$$ 1/2 are the two possible orientations of electron spin.

(E) For l = 5, there will be a total of 9 orbital

Which of the above statements are correct?

JEE Main 2022 (Online) 28th June Evening Shift
58

The number of radial and angular nodes in 4d orbital are, respectively

JEE Main 2022 (Online) 26th June Evening Shift
59

If the radius of the 3rd Bohr's orbit of hydrogen atom is r3 and the radius of 4th Bohr's orbit is r4. Then :

JEE Main 2022 (Online) 26th June Morning Shift
60

The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is :

[Given : The threshold frequency of platinum is 1.3 $$\times$$ 1015 s$$-$$1 and h = 6.6 $$\times$$ 10$$-$$34 J s.]

JEE Main 2022 (Online) 25th June Evening Shift
61

The pair, in which ions are isoelectronic with AI3+ is :

JEE Main 2022 (Online) 25th June Morning Shift
62

The energy of one mole of photons of radiation of wavelength 300 nm is

(Given : h = 6.63 $$\times$$ 10$$-$$34 J s, NA = 6.02 $$\times$$ 1023 mol$$-$$1, c = 3 $$\times$$ 108 m s$$-$$1)

JEE Main 2022 (Online) 24th June Evening Shift
63

Consider the following pairs of electrons

(A) (a) n = 3, $$l$$ = 1, m1 = 1, ms = + $${1 \over 2}$$

      (b) n = 3, 1 = 2, m1 = 1, ms = + $${1 \over 2}$$

(B) (a) n = 3, $$l$$ = 2, m1 = $$-$$2, ms = $$-$$$${1 \over 2}$$

      (b) n = 3, $$l$$ = 2, m1 = $$-$$1, ms = $$-$$$${1 \over 2}$$

(C) (a) n = 4, $$l$$ = 2, m1 = 2, ms = + $${1 \over 2}$$

      (b) n = 3, $$l$$ = 2, m1 = 2, ms = + $${1 \over 2}$$

The pairs of electrons present in degenerate orbitals is/are :

JEE Main 2022 (Online) 24th June Morning Shift
64
Given below are two statements.

Statement I : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.

Statement II : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in principal quantum number.

In the light of the above statements, choose the most appropriate answer from the options given below :
JEE Main 2021 (Online) 26th August Morning Shift
65
If the Thompson model of the atom was correct, then the result of Rutherford's gold foil experiment would have been :
JEE Main 2021 (Online) 27th July Evening Shift
66
Given below are two statements :

Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom.

Statement II : Bohr's model of hydrogen atom contradicts Heisenberg' uncertainty principle.

In the light of the above statements, choose the most appropriate answer from the options given below :
JEE Main 2021 (Online) 27th July Morning Shift
67
Outermost electronic configuration of a group 13 element, E, is 4s2, 4p1. The electronic configuration of an element of p-block period-five placed diagonally to element, E is :
JEE Main 2021 (Online) 20th July Evening Shift
68
Given below are two statements :

Statement I : Bohr's theory accounts for the stability and line spectrum of Li+ ion.

Statement II : Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field.

In the light of the above statements, choose the most appropriate answer from the options given below :
JEE Main 2021 (Online) 18th March Evening Shift
69
A certain orbital has no angular nodes and two radial nodes. The orbital is :
JEE Main 2021 (Online) 18th March Morning Shift
70
Which of the following forms of hydrogen emits low energy $$\beta$$- particles?
JEE Main 2021 (Online) 26th February Evening Shift
71
The orbital having two radial as well as two angular nodes is :
JEE Main 2021 (Online) 26th February Morning Shift
72
The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below :

JEE Main 2021 (Online) 25th February Morning Shift Chemistry - Structure of Atom Question 123 English
The correct plot for 3s orbital is :
JEE Main 2021 (Online) 25th February Morning Shift
73
According to Bohr's atomic theory :

(A) Kinetic energy of electron is $$ \propto {{{Z^2}} \over {{n^2}}}$$.

(B) The product of velocity (v) of electron and principal quantum number (n), $$'vn' \propto {Z^2}$$.

(C) Frequency of revolution of electron in an orbit is $$ \propto {{{Z^3}} \over {{n^3}}}$$.

(D) Coulombic force of attraction on the electron is $$ \propto {{{Z^3}} \over {{n^4}}}$$.

Choose the most appropriate answer from the options given below :
JEE Main 2021 (Online) 24th February Evening Shift
74
The correct statement about probability density (except at infinite distance from nucleus) is :
JEE Main 2020 (Online) 5th September Evening Slot
75
The difference between the radii of 3rd and 4th
orbits of Li2+ is R1 . The difference between the
radii of 3rd and 4th orbits of He+ is $$\Delta $$R2 .
Ratio $$\Delta $$R1 : $$\Delta $$R2 is :
JEE Main 2020 (Online) 5th September Morning Slot
76
The shortest wavelength of H atom in the Lyman series is $$\lambda $$1. The longest wavelength in the Balmar series of He+ is :
JEE Main 2020 (Online) 4th September Evening Slot
77
The region in the electromagnetic spectrum where the Balmar series lines appear is :
JEE Main 2020 (Online) 4th September Morning Slot
78
Consider the hypothetical situation where the azimuthal quantum number, $$l$$, takes values 0, 1, 2, ....., n + 1, where n is the principal quantum number. Then, the element with atomic number :
JEE Main 2020 (Online) 3rd September Evening Slot
79
The number of subshells associated with n = 4 and m = –2 quantum numbers is
JEE Main 2020 (Online) 2nd September Evening Slot
80
The figure that is not a direct manifestation of the quantum nature of atoms is :
JEE Main 2020 (Online) 2nd September Morning Slot
81
The de Broglie wavelength of an electron in the 4th Bohr orbit is :
JEE Main 2020 (Online) 9th January Morning Slot
82
Hydrogen has three isotopes (A), (B) and (C). If the number of neutron(s) in (A), (B) and (C) respectively, are (x), (y) and (z), the sum of (x), (y) an (z) is :
JEE Main 2020 (Online) 8th January Evening Slot
83
The radius of the second Bohr orbit, in terms of the Bohr radius, a0, in Li2+ is :
JEE Main 2020 (Online) 8th January Evening Slot
84
For the Balmer series in the spectrum of H atom,
$$\overline \nu = {R_H}\left\{ {{1 \over {n_1^2}} - {1 \over {n_2^2}}} \right\}$$, the correct statements among (I) to (IV) are :
(I) As wavelength decreases, the lines in the series converge
(II) The integer n1 is equal to 2
(III) The lines of longest wavelength corresponds to n2 = 3
(IV) The ionization energy of hydrogen can be calculated from wave number of these lines
JEE Main 2020 (Online) 8th January Morning Slot
85
The number of orbitals associated with quantum number n = 5, ms = +$${1 \over 2}$$ is :
JEE Main 2020 (Online) 7th January Morning Slot
86
The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are:
JEE Main 2019 (Online) 12th April Morning Slot
87
The electrons are more likely to be found : JEE Main 2019 (Online) 12th April Morning Slot Chemistry - Structure of Atom Question 140 English
JEE Main 2019 (Online) 12th April Morning Slot
88
The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral series are :
JEE Main 2019 (Online) 10th April Evening Slot
89
The graph between $${\left| \psi \right|^2}$$ and r (radial distance) is shown below. This represents : JEE Main 2019 (Online) 10th April Morning Slot Chemistry - Structure of Atom Question 142 English
JEE Main 2019 (Online) 10th April Morning Slot
90
The isoelectronic set of ions is :
JEE Main 2019 (Online) 10th April Morning Slot
91
Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ?

(The Bohr radius is represented by a0)
JEE Main 2019 (Online) 9th April Evening Slot
92
For any given series of spectral lines of atomic hydrogen, let $$\Delta \mathop v\limits^\_ = $$ $$\Delta {\overline v _{\max }} - \Delta {\overline v _{\min }}$$ be the difference in maximum and minimum frequencies in cm–1. The ratio Lyman Balmer $${{\Delta {{\overline v }_{Lyman}}} \over {\Delta {{\overline v }_{Balmer}}}}$$ is :
JEE Main 2019 (Online) 9th April Morning Slot
93
If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $$\lambda $$, then for 1.5 p momentum of the photoelectron, the wavelength of the light should be: (Assume kinetic energy of ejected photoelectron to be very high in comparison to work function)
JEE Main 2019 (Online) 8th April Evening Slot
94
The quantum number of four electrons are given below :
n = 4, l = 2, ml =–2, ms = –1/2
n = 3, l = 2, ml = 1, ms = +1/2
n = 4, l = 1, ml = 0, ms = +1/2
n = 3, l = 1, ml = 1, ms = –1/2
The correct order of their increasing enegies will be :
JEE Main 2019 (Online) 8th April Morning Slot
95
If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 $$\pi $$a0 (a0 is Bohr radius), then the value of n/z is -
JEE Main 2019 (Online) 12th January Evening Slot
96
The upper stratosphere consisting of the ozone layer protects us from sun's radiation that falls in the wavelength region of -
JEE Main 2019 (Online) 12th January Evening Slot
97
What is the work function of the metal if the light of wavelength 4000$$\mathop A\limits^ \circ $$ generates photoelectrons of velocity 6 $$ \times $$ 105 ms–1 from it ?
(Mass of electron = 9 $$ \times $$ 10–31 kg;
Velocity of light = 3 $$ \times $$ 108 ms$$-$$1
Plank's constant = 6.626 $$ \times $$ 10–34 Js;
Charge of electron = 1.6 $$ \times $$10–19 JeV–1)
JEE Main 2019 (Online) 12th January Morning Slot
98
The de Broglie wavelength ($$\lambda $$) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v0 is threshold frequency] :
JEE Main 2019 (Online) 11th January Evening Slot
99
Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this purpose?

[RH = 1 $$ \times $$ 105 cm–1, h = 6.6 $$ \times $$ 10–34 Js, c = 3 $$ \times $$ 108 ms–1]
JEE Main 2019 (Online) 11th January Morning Slot
100
The ground state energy of hydrogen atom is – 13.6 eV. The energy of second excited state of He+ ion in eV is :
JEE Main 2019 (Online) 10th January Evening Slot
101
Which of the graphs shown below does not represent the relationship between incident light and the electron ejected from metal surface ?
JEE Main 2019 (Online) 10th January Morning Slot
102
Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ?

(a) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum.

(b) For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number.

(c) According to wave mechanics, the ground state angular momentum is equal to $${h \over {2\pi }}$$.

(d) The plot of $$\psi $$ vs r for various azimuthal quantum numbers, shows peak shifting towards higher r value.
JEE Main 2019 (Online) 9th January Evening Slot
103
The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complexes is :
JEE Main 2019 (Online) 9th January Morning Slot
104
For emission line of atomic hydrogen from ni = 8 to nf = n, the plot of wave number $$\left( {\overline v } \right)$$ against $$\left( {{1 \over {{n^2}}}} \right)$$ will be (The Rydberg constant, RH is in wave number unit)
JEE Main 2019 (Online) 9th January Morning Slot
105
Which of the following statements is false ?
JEE Main 2018 (Online) 16th April Morning Slot
106
The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom is :
JEE Main 2018 (Online) 15th April Evening Slot
107
Ejection of the photoelectron from metal in the photoelectric experiment can be stopped by applying 0.5 V when the radiation of 250 nm is used. The work function of the metal is :
JEE Main 2018 (Online) 15th April Morning Slot
108
The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with :
JEE Main 2017 (Online) 9th April Morning Slot
109
If the shortest wavelength in Lyman series of hydrogen atom is A, then the longest wavelength in Paschen series of He+ is :
JEE Main 2017 (Online) 8th April Morning Slot
110
The group having isoelectronic species is:
JEE Main 2017 (Offline)
111
The radius of the second Bohr orbit for hydrogen atom is:
(Planck’s Const. h = 6.6262 × 10-34 Js; mass of electron = 9.1091 × 10-31 kg; charge of electron (e) = 1.60210 × 10-19 C; permittivity of vacuum ($${\varepsilon _0}$$) = 8.854185 × 10-12 kg-1 m-3 A2)
JEE Main 2017 (Offline)
112
The total number of orbitals associated with the principal quantum number 5 is :
JEE Main 2016 (Online) 9th April Morning Slot
113
A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h / $$\lambda $$ (where $$\lambda $$ is wavelength associated with electron wave) is given by :
JEE Main 2016 (Offline)
114
Which of the following is the energy of a possible excited state of hydrogen?
JEE Main 2015 (Offline)
115
The correct set of four quantum numbers for the valence elections of rubidium atom (Z= 37) is:
JEE Main 2014 (Offline)
116
Energy of an electron is given by $$E = - 2.178 \times {10^{ - 18}}J\left( {{{{Z^2}} \over {{n^2}}}} \right)$$. Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be
(h = 6.62 × 10−34 Js and c = 3.0 × 108 ms−1)
JEE Main 2013 (Offline)
117
The electrons identified by quantum numbers n and l :
(a) n = 4, $$l$$ = 1
(b) n = 4, $$ l$$ = 0
(c) n = 3, $$l$$ = 2
(d) n = 3, $$l$$ = 1
Can be placed in order of increasing energy as :
AIEEE 2012
118
A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm, the other is at :
AIEEE 2011
119
The energy required to break one mole of Cl–Cl bonds in Cl2 is 242 kJ mol–1. The longest wavelength of light capable of breaking a single Cl – Cl bond is
(c = 3 x 108 ms–1 and NA = 6.02 x 1023 mol–1)
AIEEE 2010
120
Ionisation energy of He+ is 19.6 x 10–18 J atom–1. The energy of the first stationary state (n = 1) of Li2+ is
AIEEE 2010
121
Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 x 103 ms−1 (Mass of proton = 1.67 $$\times$$ 10-27 kg and h = 6.63 $$\times$$ 10-34 Js) :
AIEEE 2009
122
In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity with which the position of the electron can be located is (h = 6.6 $$\times$$ 10-34 kg m2s-1, mass of electron, em = 9.1 $$\times$$ 10-31 kg)
AIEEE 2009
123
Which one of the following constitutes a group of the isoelectronic species?
AIEEE 2008
124
The ionization enthalpy of hydrogen atom is 1.312 × 106 J mol−1. The energy required to excite the electron in the atom from n = 1 to n = 2 is
AIEEE 2008
125
Which of the following sets of quantum numbers represents the highest energy of an atom?
AIEEE 2007
126
According to Bohr's theory, the angular momentum of an electron in 5th orbit is
AIEEE 2006
127
Uncertainty in the position of an electron (mass = 9.1 $$\times$$ 10-31 kg) moving with a velocity 300 ms-1, accurate upto 0.001% will be (h = 6.63 $$\times$$ 10-34 Js)
AIEEE 2006
128
Which of the following sets of ions represents a collection of isoelectronic species?
AIEEE 2006
129
Pick out the isoelectronic structure from the following :

$$\eqalign{ & \left( i \right)\,\,\,\,\,\,C{H_3}^ + \cr & \left( {ii} \right)\,\,\,\,{H_3}{O^ + } \cr & \left( {iii} \right)\,\,\,N{H_3} \cr & \left( {iv} \right)\,\,\,\,C{H_3}^ - \cr} $$
AIEEE 2005
130
In a multi-electron atom, which of the following orbitals described by the three quantum members will have the same energy in the absence of magnetic and electric fields?
(A) n = 1, l = 0, m = 0
(B) n = 2, l = 0, m = 0
(C) n = 2, l = 1, m = 1
(D) n = 3, l = 2, m = 1
(E) n = 3, l = 2, m = 0
AIEEE 2005
131
Of the following sets which one does NOT contain isoelectronic species?
AIEEE 2005
132
Which of the following sets of quantum numbers is correct for an electron in 4f orbital?
AIEEE 2004
133
Consider the ground state of Cr atom (Z = 24). The number of electrons with the azimuthal quantum numbers, l = 1 and 2 are respectively
AIEEE 2004
134
The wavelength of the radiation emitted when in a hydrogen atom electron falls from infinity to stationary state 1, would be (Rydberg constant = 1.097 $$\times$$ 107 m-1)
AIEEE 2004
135
Which one of the following sets of ions represents the collection of isoelectronic species? (Atomic nos. : F = 9, Cl = 17, Na = 11, Mg = 12, Al = 13, K = 19, Ca = 20, Sc = 21)
AIEEE 2004
136
Which one of the following groupings represents a collection of isoelectronic species? (At. nos. : Cs : 55, Br : 35)
AIEEE 2003
137
In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inter-orbit jumps of the electron for Bohr orbits in an atom of hydrogen
AIEEE 2003
138
The de Broglie wavelength of a tennis ball of mass 60 g moving with a velocity of 10 meters per second is approximately
AIEEE 2003
139
The orbital angular momentum for an electron revolving in an orbit is given by $$\sqrt {l(l + 1)} {h \over {2\pi }}$$. This momentum for an s-electron will be given by
AIEEE 2003
140
In a hydrogen atom, if energy of an electron in ground state is -13.6 eV, then that in the 2nd excited state is
AIEEE 2002
141
Uncertainty in position of a minute particle of mass 25 g in space is 10-5 m. What is the uncertainty in its velocity (in ms-1) (h = 6.6 $$\times$$ 10-34 Js)
AIEEE 2002

Numerical

1

The energy of an electron in the first Bohr orbit of the H-atom is -13.6 eV.

The magnitude of energy value of an electron in the first excited state of Be3+ is ________ eV (nearest integer value).

JEE Main 2025 (Online) 8th April Evening Shift
2

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter $$10^{-15} \mathrm{~m}$$ is ________ $$\times 10^9 \mathrm{~ms}^{-1}$$ (nearest integer)

[Given : mass of electron $$=9.1 \times 10^{-31} \mathrm{~kg}$$, Plank's constant $$(h)=6.626 \times 10^{-34} \mathrm{Js}$$] (Value of $$\pi=3.14$$)

JEE Main 2024 (Online) 9th April Evening Shift
3

Wavenumber for a radiation having 5800 $$\mathop A\limits^o $$ wavelength is $$x \times 10 \mathrm{~cm}^{-1}$$ The value of $$x$$ is ________. (Integer answer)

JEE Main 2024 (Online) 8th April Evening Shift
4

A hypothetical electromagnetic wave is show below.

JEE Main 2024 (Online) 8th April Morning Shift Chemistry - Structure of Atom Question 27 English

The frequency of the wave is $$\mathrm{x} \times 10^{19} \mathrm{~Hz}$$.

$$\mathrm{x}=$$ _________ (nearest integer)

JEE Main 2024 (Online) 8th April Morning Shift
5

For hydrogen atom, energy of an electron in first excited state is $$-3.4 \mathrm{~eV}, \mathrm{K} . \mathrm{E}$$. of the same electron of hydrogen atom is $$x \mathrm{~eV}$$. Value of $$x$$ is _________ $$\times 10^{-1} \mathrm{~eV}$$. (Nearest integer)

JEE Main 2024 (Online) 6th April Evening Shift
6

Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is _________ $$\times 10^{13} \mathrm{~Hz}$$ (nearest integer).

[Given : $$\mathrm{R}_{\mathrm{H}}$$ (Rydberg constant) $$=2.18 \times 10^{-18} \mathrm{~J}, h$$ (Plank's constant) $$=6.6 \times 10^{-34} \mathrm{~J} . \mathrm{s}$$.]

JEE Main 2024 (Online) 6th April Morning Shift
7

In an atom, total number of electrons having quantum numbers $$\mathrm{n}=4,\left|\mathrm{~m}_l\right|=1$$ and $$\mathrm{m}_{\mathrm{s}}=-\frac{1}{2}$$ is _________.

JEE Main 2024 (Online) 5th April Evening Shift
8

The value of Rydberg constant $$(R_H)$$ is $$2.18 \times 10^{-18} \mathrm{~J}$$. The velocity of electron having mass $$9.1 \times 10^{-31} \mathrm{~kg}$$ in Bohr's first orbit of hydrogen atom = ________ $$\times 10^5 \mathrm{~ms}^{-1}$$ (nearest integer).

JEE Main 2024 (Online) 5th April Morning Shift
9

The maximum number of orbitals which can be identified with $$\mathrm{n}=4$$ and $$m_l=0$$ is _________.

JEE Main 2024 (Online) 4th April Evening Shift
10

The de-Broglie's wavelength of an electron in the $$4^{\text {th }}$$ orbit is ________ $$\pi \mathrm{a}_0$$. ($$\mathrm{a}_0=$$ Bohr's radius)

JEE Main 2024 (Online) 4th April Morning Shift
11

The ionization energy of sodium in $$\mathrm{~kJ} \mathrm{~mol}^{-1}$$, if electromagnetic radiation of wavelength $$242 \mathrm{~nm}$$ is just sufficient to ionize sodium atom is _______.

JEE Main 2024 (Online) 31st January Morning Shift
12

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

JEE Main 2024 (Online) 30th January Evening Shift
13

The number of electrons present in all the completely filled subshells having $$\mathrm{n}=4$$ and $$\mathrm{s}=+\frac{1}{2}$$ is _______.

(Where $$\mathrm{n}=$$ principal quantum number and $$\mathrm{s}=$$ spin quantum number)

JEE Main 2024 (Online) 27th January Morning Shift
14
The total number of isoelectronic species from the given set is ___________.

$\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{Al}, \mathrm{Mg}^{2+}, \mathrm{Na}^{+}, \mathrm{O}^{+}, \mathrm{Mg}, \mathrm{Al}^{3+}, \mathrm{F}$
JEE Main 2023 (Online) 15th April Morning Shift
15

The orbital angular momentum of an electron in $$3 \mathrm{~s}$$ orbital is $$\frac{x h}{2 \pi}$$. The value of $$x$$ is ____________ (nearest integer)

JEE Main 2023 (Online) 13th April Evening Shift
16

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 photoelectric effect when light of wavelength $$400 \mathrm{~nm}$$ falls on it is ___________

Given: $$\mathrm{h}=6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s}$$

$$c=3 \times 10^{8} \mathrm{~ms}^{-1}$$

$$e=1.6 \times 10^{-19} \mathrm{C}$$

JEE Main 2023 (Online) 12th April Morning Shift
17

The number of correct statements from the following is ___________.

A. For $$1 \mathrm{s}$$ orbital, the probability density is maximum at the nucleus

B. For $$2 \mathrm{s}$$ orbital, the probability density first increases to maximum and then decreases sharply to zero.

C. Boundary surface diagrams of the orbitals encloses a region of $$100 \%$$ probability of finding the electron.

D. p and d-orbitals have 1 and 2 angular nodes respectively.

E. probability density of p-orbital is zero at the nucleus

JEE Main 2023 (Online) 11th April Evening Shift
18

JEE Main 2023 (Online) 10th April Evening Shift Chemistry - Structure of Atom Question 51 English

The electron in the $$\mathrm{n}^{\text {th }}$$ orbit of $$\mathrm{Li}^{2+}$$ is excited to $$(\mathrm{n}+1)$$ orbit using the radiation of energy $$1.47 \times 10^{-17} \mathrm{~J}$$ (as shown in the diagram). The value of $$\mathrm{n}$$ is ___________

Given: $$\mathrm{R}_{\mathrm{H}}=2.18 \times 10^{-18} \mathrm{~J}$$

JEE Main 2023 (Online) 10th April Evening Shift
19

The number of incorrect statement/s about the black body from the following is __________

(A) Emit or absorb energy in the form of electromagnetic radiation.

(B) Frequency distribution of the emitted radiation depends on temperature.

(C) At a given temperature, intensity vs frequency curve passes through a maximum value.

(D) The maximum of the intensity vs frequency curve is at a higher frequency at higher temperature compared to that at lower temperature.

JEE Main 2023 (Online) 10th April Morning Shift
20

The number of atomic orbitals from the following having 5 radial nodes is ___________.

$$7 \mathrm{s}, 7 \mathrm{p}, 6 \mathrm{s}, 8 \mathrm{p}, 8 \mathrm{d}$$

JEE Main 2023 (Online) 8th April Evening Shift
21

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 gas phase show a continuous spread of wavelength from red to violet

(C) An absorption spectrum is like the photographic negative of an emission spectrum

(D) The element helium was discovered in the sun by spectroscopic method

JEE Main 2023 (Online) 8th April Morning Shift
22

The wavelength of an electron of kinetic energy $$4.50\times10^{-29}$$ J is _________ $$\times 10^{-5}$$ m. (Nearest integer)

Given : mass of electron is $$9\times10^{-31}$$ kg, h $$=6.6\times10^{-34}$$ J s

JEE Main 2023 (Online) 6th April Morning Shift
23

Electrons in a cathode ray tube have been emitted with a velocity of 1000 m s$$^{-1}$$. The number of following statements which is/are $$\underline {\mathrm{true}} $$ about the emitted radiation is ____________.

Given : $$\mathrm{h=6\times10^{-34}~J~s,m_e=9\times10^{-31}~kg}$$.

(A) The de-Broglie wavelength of the electron emitted is 666.67 nm.

(B) The characteristic of electrons emitted depend upon the material of the electrodes of the cathode ray tube.

(C) The cathode rays start from cathode and move towards anode.

(D) The nature of the emitted electrons depends on the nature of the gas present in cathode ray tube.

JEE Main 2023 (Online) 1st February Morning Shift
24

The energy of one mole of photons of radiation of frequency $$2 \times 10^{12} \mathrm{~Hz}$$ in $$\mathrm{J} ~\mathrm{mol}^{-1}$$ is ___________. (Nearest integer)

[Given : $$\mathrm{h}=6.626 \times 10^{-34} ~\mathrm{Js}$$

$$\mathrm{N}_{\mathrm{A}}=6.022 \times 10^{23} \mathrm{~mol}^{-1}$$]

JEE Main 2023 (Online) 30th January Morning Shift
25

Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 $$\mathrm{\mathop A\limits^o }$$. The radius of the third Bohr orbit of He$$^+$$ is __________ picometer. (Nearest Integer)

JEE Main 2023 (Online) 29th January Evening Shift
26

The number of given orbitals which have electron density along the axis is _________

$$\mathrm{p_x,p_y,p_z,d_{xy},d_{yz},d_{xz},d_{z^2},d_{x^2-y^2}}$$

JEE Main 2023 (Online) 25th January Evening Shift
27

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

JEE Main 2023 (Online) 24th January Morning Shift
28

The minimum uncertainty in the speed of an electron in an one dimensional region of length $$2 \mathrm{a}_{\mathrm{o}}$$ (Where $$\mathrm{a}_{\mathrm{o}}=$$ Bohr radius $$52.9 \,\mathrm{pm}$$) is _________ $$\mathrm{km} \,\mathrm{s}^{-1}$$.

(Given : Mass of electron = 9.1 $$\times$$ 10$$-$$31 kg, Planck's constant h = 6.63 $$\times$$ 10$$-$$34 Js)

JEE Main 2022 (Online) 29th July Morning Shift
29

If the wavelength for an electron emitted from $$\mathrm{H}$$-atom is $$3.3 \times 10^{-10} \mathrm{~m}$$, then energy absorbed by the electron in its ground state compared to minimum energy required for its escape from the atom, is _________ times. (Nearest integer)

$$\left[\right.$$ Given $$: \mathrm{h}=6.626 \times 10^{-34} \mathrm{~J} \mathrm{~s}$$ ]

Mass of electron $$=9.1 \times 10^{-31} \mathrm{~kg}$$

JEE Main 2022 (Online) 28th July Evening Shift
30

Consider an imaginary ion $${ }_{22}^{48} \mathrm{X}^{3-}$$. The nucleus contains '$$a$$'% more neutrons than the number of electrons in the ion. The value of 'a' is _______________. [nearest integer]

JEE Main 2022 (Online) 26th July Evening Shift
31

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $$x$$ times the velocity of neutron. The value of $$x$$ is ____________. (Nearest Integer)

(Mass of electron is $$9.1 \times 10^{-31} \mathrm{~kg}$$ and mass of neutron is $$1.6 \times 10^{-27} \mathrm{~kg}$$ )

JEE Main 2022 (Online) 26th July Morning Shift
32

When the excited electron of a H atom from n = 5 drops to the ground state, the maximum number of emission lines observed are _____________.

JEE Main 2022 (Online) 25th July Evening Shift
33

If the work function of a metal is 6.63 $$\times$$ 10$$-$$19J, the maximum wavelength of the photon required to remove a photoelectron from the metal is ____________ nm. (Nearest integer)

[Given : h = 6.63 $$\times$$ 10$$-$$34 J s, and c = 3 $$\times$$ 108 m s$$-$$1]

JEE Main 2022 (Online) 28th June Morning Shift
34

Consider the following set of quantum numbers.

n 1 m$$_1$$
A. 3 3 $$ - $$3
B. 3 2 $$ - $$2
C. 2 1 +1
D. 2 2 +2

The number of correct sets of quantum numbers is __________.

JEE Main 2022 (Online) 27th June Evening Shift
35

If the uncertainty in velocity and position of a minute particle in space are, 2.4 $$\times$$ 10$$-$$26 (m s$$-$$1) and 10$$-$$7 (m) respectively. The mass of the particle in g is ____________. (Nearest integer)

(Given : h = 6.626 $$\times$$ 10$$-$$34 Js)

JEE Main 2022 (Online) 27th June Morning Shift
36

The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x $$\times$$ 10$$-$$8 m. The value of x is ___________. (Nearest Integer).

(Given : Energy of the electron in the first shell of the hydrogen atom is $$-$$2.2 $$\times$$ 10$$-$$18 J ; h = 6.63 $$\times$$ 10$$-$$34 Js and c = 3 $$\times$$ 108 ms$$-$$1)

JEE Main 2022 (Online) 25th June Morning Shift
37
A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second by the bulb is x $$\times$$ 1020. The value of x is __________. [Given : h = 6.63 $$\times$$ 10$$-$$34 Js and c = 3.0 $$\times$$ 108 ms$$-$$1]
JEE Main 2021 (Online) 1st September Evening Shift
38
Ge(Z = 32) in its ground state electronic configuration has x completely filled orbitals with ml = 0. The value of x is ___________.
JEE Main 2021 (Online) 31st August Morning Shift
39
The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of 1000 nm, in 0.1 second is x $$\times$$ 1013. The value of x is _____________. (Nearest integer)

(h = 6.63 $$\times$$ 10$$-$$34 Js, c = 3.00 $$\times$$ 108 ms$$-$$1)
JEE Main 2021 (Online) 27th August Evening Shift
40
The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to $${{{h^2}} \over {xma_0^2}}$$. The value of 10x is ___________. (a0 is radius of Bohr's orbit) (Nearest integer) [Given : $$\pi$$ = 3.14]
JEE Main 2021 (Online) 27th August Morning Shift
41
A metal surface is exposed to 500 nm radiation. The threshold frequency of the metal for photoelectric current is 4.3 $$\times$$ 1014 Hz. The velocity of ejected electron is ____________ $$\times$$ 105 ms$$-$$1 (Nearest integer)

[Use : h = 6.63 $$\times$$ 10$$-$$34 Js, me = 9.0 $$\times$$ 10$$-$$31 kg]
JEE Main 2021 (Online) 26th August Evening Shift
42
An accelerated electron has a speed of 5 $$\times$$ 106 ms$$-$$1 with an uncertainty of 0.02%. The uncertainty in finding its location while in motion is x $$\times$$ 10$$-$$9 m. The value of x is ____________. (Nearest integer)

[Use mass of electron = 9.1 $$\times$$ 10$$-$$31 kg, h =6.63 $$\times$$ 10$$-$$34 Js, $$\pi$$ = 3.14]
JEE Main 2021 (Online) 25th July Evening Shift
43
A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, x $$\times$$ 1020 electrons are ejected per second. Assume that wavelength 400 nm is sufficient for ejection of electron from the surface of sodium metal. The value of x is ______________. (Nearest integer)

(h = 6.626 $$\times$$ 10$$-$$34 Js)
JEE Main 2021 (Online) 25th July Morning Shift
44
The wavelength of electrons accelerated from rest through a potential difference of 40 kV is x $$\times$$ 10$$-$$12 m. The value of x is ___________. (Nearest integer)

Give : Mass of electron = 9.1 $$\times$$ 10$$-$$31 kg

Charge on an electron = 1.6 $$\times$$ 10$$-$$19 C

Planck's constant = 6.63 $$\times$$ 10$$-$$34 Js
JEE Main 2021 (Online) 20th July Evening Shift
45
The Azimuthal quantum number for the valence electrons of Ga+ ion is ___________.

(Atomic number of Ga = 31)
JEE Main 2021 (Online) 20th July Morning Shift
46
A certain orbital has n = 4 and mL = $$-$$3. The number of radial nodes in this orbital is ____________. (Round off to the Nearest Integer).
JEE Main 2021 (Online) 17th March Morning Shift
47
The number of orbitals with n = 5, m1 = +2 is ___________. (Round off to the Nearest Integer).
JEE Main 2021 (Online) 16th March Evening Shift
48
When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted electrons is _______$$\mathop A\limits^o $$. (Round off to the Nearest Integer).

[ Use : $$\sqrt 3 $$ = 1.73, h = 6.63 $$\times$$ 10$$-$$34 Js

me = 9.1 $$\times$$ 10$$-$$31 kg; c = 3.0 $$\times$$ 108 ms$$-$$1; 1eV = 1.6 $$\times$$ 10$$-$$19 J]
JEE Main 2021 (Online) 16th March Morning Shift
49
A ball weighing 10 g is moving with a velocity of 90 ms$$-$$1. If the uncertainty in its velocity is 5%, then the uncertainty in its position is ___________ $$\times$$ 10$$-$$33 m. (Rounded off to the nearest integer)

[Given : h = 6.63 $$\times$$ 10$$-$$34 Js]
JEE Main 2021 (Online) 26th February Evening Shift
50
Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization enegy of metal A in kJ mol$$-$$1 is __________. (Rounded off to the nearest integer)

[h = 6.63 $$\times$$ 10$$-$$34 Js, c = 3.00 $$\times$$ 108 ms$$-$$1, NA = 6.02 $$\times$$ 1023 mol$$-$$1]
JEE Main 2021 (Online) 25th February Evening Shift
51
Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is _________. (Integer answer)

(A) Li

(B) Na

(C) Rb

(D) Cs
JEE Main 2021 (Online) 25th February Evening Shift
52
A proton and a Li3+ nucleus are accelerated by the same potential. If $$\lambda _{Li}$$ and $$\lambda _p$$ denote the de Broglie wavelengths of Li3+ and proton respectively, then the value of $${{{\lambda _{Li}}} \over {{\lambda _p}}}$$ is x $$ \times $$ 10-1.
The value of x is ______. (Rounded off to the nearest integer)
[Mass of Li3+ = 8.3 mass of proton]
JEE Main 2021 (Online) 24th February Morning Shift
53
The work function of sodium metal is 4.41 $$ \times $$ 10–19 J. If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons will be (h = 6.63 $$ \times $$ 10–34 J s; c = 3 $$ \times $$ 108 m/s) ________ × 10–21 J.
JEE Main 2020 (Online) 2nd September Evening Slot
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