Question 1: Palette 1/69

JEE Advanced 2026 MSQ

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 $E_{2p}({Li})$, respectively. The correct option(s) about the orbital energies is(are)

A

$E_{2s}({Li}) < E_{2p}({Li})$

B

$E_{2s}({H}) = E_{2p}({H})$

C

$E_{2p}({H}) < E_{2s}({Li})$

D

$E_{2s}({H}) > E_{2s}({Li})$

Question 2: Palette 2/69

JEE Advanced 2024 MCQ

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

A

first orbit of $\mathrm{H}$ atom

B

first orbit of $\mathrm{He}^{+}$

C

second orbit of $\mathrm{He}^{+}$

D

second orbit of $\mathrm{Li}^{2+}$

Question 3: Palette 3/69

JEE Advanced 2024 MSQ

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

A

Uncertainty principle rules out the existence of definite paths for electrons.

B

The energy of an electron in $2 s$ orbital of an atom is lower than the energy of an electron that is infinitely far away from the nucleus.

C

According to Bohr's model, the most negative energy value for an electron is given by $\mathrm{n}=1$, which corresponds to the most stable orbit.

D

According to Bohr's model, the magnitude of velocity of electrons increases with increase in values of $n$.

Question 4: Palette 4/69

JEE Advanced 2022 MSQ

For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two $2 p_{z}$ orbitals is(are)

A

$\sigma$ orbital has a total of two nodal planes.

B

$\sigma^{*}$ orbital has one node in the $x z$-plane containing the molecular axis.

C

$\pi$ orbital has one node in the plane which is perpendicular to the molecular axis and goes through the center of the molecule.

D

$\pi^{*}$ orbital has one node in the $x y$-plane containing the molecular axis.

Question 5: Palette 5/69

JEE Advanced 2019 MCQ

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.


Which of the following options has the correct combination considering List-I and List-II?

A

(III), (P)

B

(III), (S)

C

(IV), (U)

D

(IV), (Q)

Question 6: Palette 6/69

JEE Advanced 2019 MCQ

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.


Which of the following options has the correct combination considering List-I and List-II?

A

(II), (R)

B

(I), (P)

C

(I), (T)

D

(II), (Q)

Question 7: Palette 7/69

JEE Advanced 2019 MSQ

The ground state energy of hydrogen atom is $-$13.6 eV. Consider an electronic state $\psi $ of He⁺ whose energy, azimuthal quantum number and magnetic quantum number are $-$3.4 eV, 2 and 0, respectively.

Which of the following statement(s) is(are) true for the state $\psi $?

A

It is a 4d state

B

The nuclear charge experienced by the electron in this state is less than 2e, where e is the magnitude of the electronic charge

C

It has 2 angular nodes

D

It has 3 radial nodes

Question 8: Palette 8/69

JEE Advanced 2017 MCQ

For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is :

A

(I) (ii) (S)

B

(IV) (iv) (R)

C

(II) (ii) (P)

D

(III) (iii) (P)

Question 9: Palette 9/69

JEE Advanced 2017 MCQ

For $H{e^ + }$ ion, the only INCORRECT combination is

A

(I) (i) (R)

B

(II) (ii) (Q)

C

(I) (iii) (R)

D

(I) (i) (S)

Question 10: Palette 10/69

JEE Advanced 2017 MCQ

For hydrogen atom, the only CORRECT combination is :

A

(I) (i) (S)

B

(II) (i) (Q)

C

(I) (i) (P)

D

(I) (iv) (R)

Question 11: Palette 11/69

JEE Advanced 2016 MCQ

P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is $4\pi r^2dr$. The quantitative ketch of the dependence of P on r is

A

B

C

D

Question 12: Palette 12/69

JEE Advanced 2012 MCQ

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [$\alpha_0$ is Bohr radius]

A

${h^2 \over {4{\pi ^2}m\alpha _0^2}}$

B

${h^2 \over {16{\pi ^2}m\alpha _0^2}}$

C

${h^2 \over {32{\pi ^2}m\alpha _0^2}}$

D

${h^2 \over {64{\pi ^2}m\alpha _0^2}}$

Question 13: Palette 13/69

JEE Advanced 2010 MCQ

The hydrogen like species Li²⁺ is in a spherically symmetric state S₁ with one radial node. Upon absorbing light the ion undergoes transition to a state S₂. The state S₂ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

The state S₁ is :

A

1s

B

2s

C

2p

D

3s

Question 14: Palette 14/69

JEE Advanced 2010 MCQ

The hydrogen like species Li²⁺ is in a spherically symmetric state S₁ with one radial node. Upon absorbing light the ion undergoes transition to a state S₂. The state S₂ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

Energy of the state S₁ in units of the hydrogen atom ground state energy is:

A

0.75

B

1.50

C

2.25

D

4.50

Question 15: Palette 15/69

JEE Advanced 2010 MCQ

The hydrogen like species Li²⁺ is in a spherically symmetric state S₁ with one radial node. Upon absorbing light the ion undergoes transition to a state S₂. The state S₂ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

The orbital angular momentum quantum number of the state S₂ is

A

0

B

1

C

2

D

3

Question 16: Palette 16/69

JEE Advanced 2008 MCQ

Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS.

	Column I		Column II
(A)	Orbital angular momentum of the electron in a hydrogen-like atomic orbital.	(P)	Principal quantum number
(B)	A hydrogen-like one-electron wave function obeying Pauli's principle.	(Q)	Azimuthal quantum number
(C)	Shape, size and orientation of hydrogen like atomic orbitals.	(R)	Magnetic quantum number
(D)	Probability density of electron at the nucleus in hydrogen-like atom.	(S)	Electron spin quantum number

A

(A) $\to$ q,r; (B) $\to$ p,q,r; (C) $\to$ p,q,r; (D) $\to$ q,r;

B

(A) $\to$ q,r; (B) $\to$ p,q,r,s; (C) $\to$ p,q; (D) $\to$ s,r;

C

(A) $\to$ r,s; (B) $\to$ p,q,r; (C) $\to$ p,q,r; (D) $\to$ p,q;

D

(A) $\to$ q,r; (B) $\to$ p,q,r,s; (C) $\to$ p,q,r; (D) $\to$ p,q;

Question 17: Palette 17/69

JEE Advanced 2008 MCQ

STATEMENT - 1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards x-axis from the line of 45^o slope as the atomic number is increased.


STATEMENT - 2 : Proton-proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons in heavier nuclides

A

Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1

B

Statement - 1 is True, Statement - 2 is True; Statement - 2 is NOT a correct explanation for Statement - 1

C

Statement - 1 is true, Statement - 2 is False

D

Statement - 1 is False, Statement - 2 is True

Question 18: Palette 18/69

JEE Advanced 2007 MCQ

A positron is emitted from $_{11}^{23}$Na The ratio of the atomic mass and atomic number of the resulting nuclide is :

A

$\frac{22}{10}$

B

$\frac{22}{11}$

C

$\frac{23}{10}$

D

$\frac{23}{12}$

Question 19: Palette 19/69

JEE Advanced 2006 MCQ

According to Bohr's theory
E_n = Total energy, K_n = Kinetic Energy, V_n = Potential Energy, r_n = Radius of n^th orbit
Match the following

Column I		Column II
(A)	$\frac{V_n}{K_n} = ?$	(P)	0
(B)	If radius of $n^{\text{th}}$ orbit $\propto E_n^x$, $x = ?$	(Q)	−1
(C)	Angular momentum in lowest orbital	(R)	−2
(D)	$\frac{1}{r_n} \propto Z^y = ?$	(S)	1

A

(A) $\to$ R, (B) $\to$ Pp, (C) $\to$ Qq, (D) $\to$ S

B

(A) $\to$ R, (B) $\to$ Q, (C) $\to$ P, (D) $\to$ S

C

(A) $\to$ S, (B) $\to$ P, (C) $\to$ Q, (D) $\to$R

D

(A) $\to$ P, (B) $\to$ R, (C) $\to$ Q, (D) $\to$ S

Question 20: Palette 20/69

JEE Advanced 2005 MCQ

The number of radial nodes of 3s and 2p orbitals are respectively

A

2, 0

B

0, 2

C

1, 2

D

2, 1

Question 21: Palette 21/69

JEE Advanced 2004 MCQ

The radius of which of the following orbit is same as that of the first Bohr's orbit of hydrogen atom?

A

He⁺ (n = 2)

B

Li²⁺ (n = 2)

C

Li²⁺ (n = 3)

D

Be³⁺ (n = 2)

Question 22: Palette 22/69

JEE Advanced 2003 MCQ

Which of the following pairs are isoelectronic and isostructural?
$NO_3^-$, $CO_3^{2-}$, $ClO_3^-$, SO₃

A

$NO_3^-$, $CO_3^{2-}$

B

SO₃, $NO_3^-$

C

$ClO_3^-$, $CO_3^{2-}$

D

$CO_3^{2-}$, SO₃

Question 23: Palette 23/69

JEE Advanced 2002 MCQ

Rutherford's experiment, which established the nuclear model of the atom, used a beam of

A

$\beta-particles$, which impinged on a metal foil and got absorbed

B

$\gamma-particles$, which impinged on a metal foil and ejected electrons

C

helium atoms, which impinged on a metal foil and got scattered

D

helium nuclei, which impinged on a metal foil and got scattered

Question 24: Palette 24/69

JEE Advanced 2002 MCQ

If the nitrogen atom has electronic configuration 1s⁷, it would have energy lower than that of the normal ground state configuration 1s²2s²2p³, because the electrons would be closer to the nucleus. Yet 1s⁷ is not observed because it violates

A

Heisenberg uncertainty principle

B

Hund's rule

C

Pauli exclusion principle

D

Bohr postulate of stationary orbits

Question 25: Palette 25/69

JEE Advanced 2001 MCQ

The wavelength associated with a golf ball weighing 200 g and moving at speed of 5 m/h is of the order

A

10^-10 m

B

10^-20 m

C

10^-30 m

D

10^-40 m

Question 26: Palette 26/69

JEE Advanced 2001 MCQ

The quantum numbers +1/2 and -1/2 for the electron spin represent

A

rotation of the electron in clockwise and anticlockwise direction respectively

B

rotation of the electron in anticlockwise and clockwise direction respectively

C

magnetic moment of the electron pointing up and down respectively

D

two quantum mechanical spin states which have no classical analogue

Question 27: Palette 27/69

JEE Advanced 2000 MCQ

The number of nodal planes in a p_x orbital is

A

one

B

two

C

three

D

zero

Question 28: Palette 28/69

JEE Advanced 2000 MCQ

The electronic configuration of an element is 1s², 2s² 2p⁶, 3s² 3p⁶ 3d⁵, 4s¹ This represents its

A

excited state

B

ground state

C

cationic form

D

anionic form

Question 29: Palette 29/69

JEE Advanced 1999 MCQ

The electrons, identified by quantum numbers n and l, (i) n = 4, l = 1, (ii) n = 4, l = 0, (iii) n = 3, l = 2 and (iv) n = 3, l = 1 can be placed in order of increasing energy, from the lowest to highest, as

A

(iv)<(ii)<(iii)<(i)

B

(ii)<(iv)<(i)<(iii)

C

(i)<(iii)<(ii)<(iv)

D

(iii)<(i)<(iv)<(ii)

Question 30: Palette 30/69

JEE Advanced 1999 MSQ

Ground state electronic configuration of nitrogen atom can be represented by

A

B

C

D

Question 31: Palette 31/69

JEE Advanced 1998 MCQ

The orbital diagram in which the Aufbau principle is violated is

A

B

C

D

Question 32: Palette 32/69

JEE Advanced 1998 MCQ

ASSERTION:
Nuclide ${}_{13}^{30}Al$ is less stable than ${}_{20}^{40}Ca$

REASON:
Nuclides having odd number of protons and neutrons are generally unstable.

A

If both assertion and reason are correct, and reason is the correct explanation of the assertion.

B

If both assertion and reason are correct, and reason is not the correct explanation of the assertion.

C

If assertion is correct but reason is incorrect.

D

If assertion is incorrect but reason is correct.

Question 33: Palette 33/69

JEE Advanced 1998 MSQ

Decrease in atomic number is observed during

A

alpha emission

B

beta amission

C

positron emisson

D

electron capture

Question 34: Palette 34/69

JEE Advanced 1998 MCQ

The energy of an electron in the first Bohr orbit of H atom is -13.6 eV. The possible energy value(s) of the excited state(s) for electrons in Bohr orbits of hydrogen is (are)

A

-3.4 eV

B

-4.2 eV

C

-6.8 eV

D

-1.5 eV

Question 35: Palette 35/69

JEE Advanced 1998 MSQ

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

A

The electronic configuration of Cr is [Ar] 3d⁵4s¹.(Atomic number of Cr = 24)

B

The magnetic quantum number may have negative value

C

In silver atom, 23 electrons have a spin of one type and 24 of the opposite type. (Atomic number of Ag = 47)

D

The oxidation state of Nitrogen in HN₃ is -3

Question 36: Palette 36/69

JEE Advanced 1997 MCQ

For a d-electron the orbital angular momentum is

A

$\sqrt 6 \left( {h/2\pi } \right)$

B

$\sqrt 2 \left( {h/2\pi } \right)$

C

$ \left( {h/2\pi } \right)$

D

$2 \left( {h/2\pi } \right)$

Question 37: Palette 37/69

JEE Advanced 1996 MCQ

The orbital angular momentum of an electron in 2s orbital is

A

$ + {1 \over 2}.{h \over {2\pi }}$

B

Zero

C

${h \over {2\pi }}$

D

$\sqrt 2 .{h \over {2\pi }}$

Question 38: Palette 38/69

JEE Advanced 1995 MCQ

A 3p orbital has

A

two non spherical nodes

B

two spherical nodes

C

one spherical and one non spherical node

D

one spherical and two non spherical nodes

Question 39: Palette 39/69

JEE Advanced 1993 MCQ

In a given electric field, $\beta-particles $ are deflected more than $\alpha-particles$ in spite of $\alpha-particles$ having larger charge.

A

TRUE

B

FALSE

Question 40: Palette 40/69

JEE Advanced 1992 MCQ

Which of the following does not characterise X-rays?

A

The radiation can ionise gases

B

It causes ZnS to fluorescence

C

Deflected by electric and magnetic fields

D

Have wavelengths shorter than ultraviolet rays

Question 41: Palette 41/69

JEE Advanced 1992 MCQ

Which of the following relates to photons both as wave motion and as a stream of particles?

A

Inference

B

E = mc²

C

Diffraction

D

E = hv

Question 42: Palette 42/69

JEE Advanced 1989 MCQ

The correct ground state electronic configuration of chromium atom is

A

[Ar] 3d⁵ 4s¹

B

[Ar] 3d⁴ 4s²

C

[Ar] 3d⁶ 4s⁰

D

[Ar] 4d⁵ 4s¹

Question 43: Palette 43/69

JEE Advanced 1989 MCQ

The correct set of quantum numbers for the unpaired electron of chlorine atom is

A

n = 2, l = 1, m = 0

B

n = 2, l = 1, m = 1

C

n = 3, l = 1, m = 1

D

n = 3, l = 0, m = 0

Question 44: Palette 44/69

JEE Advanced 1988 MCQ

The wavelength of a spectral line for an electronic transition is inversely related to :

A

The number of electrons undergoing the trasition

B

The nuclear charge of the atom

C

the difference in the energy of the energy levels involved in the transition

D

the velocity of the electron undergoing the transition

Question 45: Palette 45/69

JEE Advanced 1988 MCQ

The outermost electronic configuration of the most electronegative element is

A

ns² np³

B

ns² np⁴

C

ns² np⁵

D

ns² np⁶

Question 46: Palette 46/69

JEE Advanced 1988 MCQ

The triad of nuclei that is isotonic is

A

${}_6^{14}C$, ${}_7^{15}N$, ${}_9^{17}C$

B

${}_6^{12}C$, ${}_7^{14}N$, ${}_9^{19}C$

C

${}_6^{14}C$, ${}_7^{14}N$, ${}_9^{17}C$

D

${}_6^{14}C$, ${}_7^{14}N$, ${}_9^{19}C$

Question 47: Palette 47/69

JEE Advanced 1986 MCQ

Rutherford's alpha particle scattering experiment eventually led to the conclusion that:

A

mass and energy are related

B

electrons occupy space around the nucleus

C

neutrons are buried deep in the nucleus

D

the point of impact with matter can be precisely determined

Question 48: Palette 48/69

JEE Advanced 1986 MCQ

Which one of the following sets of quantum numbers represents an impossible arrangement?

A

n = 3, l = 2, m_l = -2, m_s = 1/2

B

n = 4, l = 0, m_l = 0, m_s = 1/2

C

n = 3, l = 2, m_l = -3, m_s = 1/2

D

n = 5, l = 3, m_l = 0, m_s = -1/2

Question 49: Palette 49/69

JEE Advanced 1986 MCQ

The ratio of the energy of a photon of 2000Å wavelength to that 4000Å radiation is

A

1/4

B

4

C

1/2

D

2

Question 50: Palette 50/69

JEE Advanced 1986 MCQ

The sum of the number of neutrons and proton in the isotope of hydrogen is

A

6

B

2

C

4

D

3

Question 51: Palette 51/69

JEE Advanced 1986 MCQ

The electron density in the XY plane in 3d_{x² - y²} orbital is zero

A

TRUE

B

FALSE

Question 52: Palette 52/69

JEE Advanced 1985 MCQ

Bohr Model can explain

A

the spectrum of hydrogen atom only

B

spectrum of an atom or ion containing one electron only

C

the spectrum of the hydrogen molecule

D

the solar spectrum

Question 53: Palette 53/69

JEE Advanced 1985 MCQ

Electromangnetic radiation with maximum wavelength is:

A

ultraviolet

B

radiowave

C

X-ray

D

infrared

Question 54: Palette 54/69

JEE Advanced 1985 MCQ

The radius of an atomic nucleus is of the order of

A

10^-10 cm

B

10^-13 cm

C

10^-15 cm

D

10^-8 cm

Question 55: Palette 55/69

JEE Advanced 1984 MCQ

Which electronic level would allow the hydrogen atom to absorb a photon but not to emit a photon?

A

3s

B

2p

C

2s

D

1s

Question 56: Palette 56/69

JEE Advanced 1984 MCQ

The increasing order (lowest first) for the values of e/m (charges/mass) for electron (e), proton (p), neutron (n) and alpha particle ($\alpha$) is:

A

e, p, n, $\alpha$

B

n, p, e, $\alpha$

C

n, p, $\alpha$, e

D

n, $\alpha$, p, e

Question 57: Palette 57/69

JEE Advanced 1984 MCQ

Correct set of four quantum numbers for the valence (outermost) electron of rubidium (Z = 37) is

A

5, 0, 0, $ + {1 \over 2}$

B

5, 1, 0, $ + {1 \over 2}$

C

5, 1, 1, $ + {1 \over 2}$

D

6, 0, 0, $ + {1 \over 2}$

Question 58: Palette 58/69

JEE Advanced 1984 MSQ

An isotone of ${}_{32}^{76}Ge$ is

A

${}_{32}^{77}Ge$

B

${}_{33}^{77}Ge$

C

${}_{34}^{77}Ge$

D

${}_{34}^{78}Ge$

Question 59: Palette 59/69

JEE Advanced 1984 MSQ

When alpha particles are sent through a thin metal foil, most of them go straight through the foil because

A

alpha particles are much heavier than electrons

B

alpha particles are positively charged

C

most part of the atom is empty space

D

alpha particle move with high velocity

Question 60: Palette 60/69

JEE Advanced 1984 MSQ

Many elements have non-integral atomic masses because:

A

they have isotopes

B

their isotopes have non-integral masses

C

their isotopes have different masses

D

the constitutents, neutrons, protons and electrons combine to give fractional masses

Question 61: Palette 61/69

JEE Advanced 1983 MCQ

Any p-orbital can accommodate upto

A

four electrons

B

six electons

C

two electrons with parallel spins

D

two electrons with opposite spins

Question 62: Palette 62/69

JEE Advanced 1983 MCQ

Rutherford's scattering experiment is related to the size of the

A

nucleus

B

atom

C

electron

D

neutron

Question 63: Palette 63/69

JEE Advanced 1983 MCQ

The principal quantum number of an atom is related to the

A

size of the orbital

B

spin angular momentum

C

orbital angular momentum

D

orientation of the orbital in space

Question 64: Palette 64/69

JEE Advanced 1983 MCQ

The energy of the electron in the 3d-orbital is less than that in the 4s-orbital in the hydrogen atom.

A

TRUE

B

FALSE

Question 65: Palette 65/69

JEE Advanced 1983 MCQ

Gamma rays are electromagnetic radiations of wavelengths of 10^-6 to 10^-5 cm

A

TRUE

B

FALSE

Question 66: Palette 66/69

JEE Advanced 1982 MCQ

The ion that is isoelectronic with CO is

A

CN^-

B

NO₂

C

SO₂

D

ClO₂

Question 67: Palette 67/69

JEE Advanced 1982 MCQ

The outer electronic configuration of the ground state chromium atom is 3d⁴ 4s²

A

TRUE

B

FALSE

Question 68: Palette 68/69

JEE Advanced 1981 MCQ

Rutherford's experiment on scattering of $\alpha-particles$ showed for the first time that the atom has

A

electrons

B

protons

C

nucleus

D

neutrons

Question 69: Palette 69/69

JEE Advanced 1979 MCQ

The number of neutrons in dipositive zinc ion with mass number 70 is

A

34

B

36

C

38

D

40