How many questions from Atoms appear in JEE?

Atoms has appeared in 112 of the last 186 JEE Main and JEE Advanced papers — about 60% of them — contributing 130 questions in total across those papers.

Is Atoms an important chapter for JEE?

Judged by how often it is actually tested, it appears in roughly 60% of papers. Chapters above about 50% are effectively guaranteed to show up every session, so they repay thorough preparation; lower-frequency chapters are better treated as targeted revision.

Where do these Atoms questions come from?

Every question is from an official JEE Main or JEE Advanced paper, transcribed from the original paper and tagged to this chapter. Answers follow the official answer key.

Atoms JEE Previous Year Questions with Answers

Q1·PhysicsMultiple correctJEE Advanced 2026

Consider a hydrogen atom with

v_k

,

r_k

, and

K_k

denoting the velocity, orbital radius and kinetic energy of the electron in the

k^{\text{th}}

orbit, respectively. The electron undergoes a transition from the

n^{\text{th}}

orbit, emitting radiation corresponding to the Lyman series. Considering

h

to be the Planck's constant and

\epsilon_0

the permittivity of the free space, the correct statement(s) is/are:

(A)Magnitude of change in kinetic energy of electron can be expressed as $\frac{h}{4\pi}\left|\frac{nv_n}{r_n} - \frac{v_1}{r_1}\right|$ .
(B)Magnitude of change in de Broglie wavelength of the electron can be expressed as $\frac{e^2}{4\epsilon_0}\left|\frac{1}{K_n} - \frac{1}{K_1}\right|$ .
(C)Frequency of the radiation emitted can be expressed as $\frac{e^2}{8\pi\epsilon_0 h}\left(\frac{1}{r_1} - \frac{1}{r_n}\right)$ .
(D)Magnitude of change in total energy of the electron can be expressed as $\frac{h}{2\pi}\left|\frac{v_1}{r_1} - \frac{nv_n}{r_n}\right|$ .

Q2·PhysicsSingle correctJEE Main 2026

The ratio of momentum of the photons of the 1

^{st}

and 2

^{nd}

line of Balmer series of Hydrogen atoms is

\alpha/\beta

. The possible values of

\alpha

and

\beta

are:-

(A)27 and 20
(B)3 and 16
(C)5 and 36
(D)20 and 27

Q3·PhysicsSingle correctJEE Main 2026

In the hydrogen atom, the electron makes a transition from the higher orbit

(i)

to a lower orbit

(f)

. The ratio of the radius of the orbits in given by

r_i : r_f = 16 : 4

. The wavelength of photon emitted due to this transition is ______ nm. (Given Rydberg constant

= 1.0973 \times 10^7

/m)

(A)121
(B)242
(C)486
(D)974

Q4·PhysicsSingle correctJEE Main 2026

In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because A. The size of gold nucleus is very small as compared to the size of gold atom. B. Alpha particle and gold nucleus have equal charge. C. The impact parameter is minimum for a few alpha particles. D. A few alpha particles have very high kinetic energy. E. Only a few alpha particles undergo head-on collision with the nuclei. Choose the correct answer from the options given below:

(A)A, B Only
(B)B, E Only
(C)C, D Only
(D)A, C, E Only

Q5·PhysicsNumericalJEE Main 2026

Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the

2^{nd}

and

4^{th}

orbits of hydrogen atom ________.

Q6·PhysicsSingle correctJEE Main 2026

Angular momentum of an electron in a hydrogen atom is

\frac{3h}{\pi}

, then the energy of the electron is ________ eV.

(A)−1.51
(B)−0.85
(C)−0.38
(D)−0.28

Q7·PhysicsSingle correctJEE Main 2026

Two electrons are moving in orbits of two hydrogen like atoms with speeds

3 \times 10^{5}

m/s and

2.5 \times 10^{5}

m/s respectively. If the radii of these orbits are nearly same then the possible order of energy states are______ respectively.

(A)6 and 5
(B)9 and 8
(C)8 and 10
(D)10 and 12

Q8·PhysicsSingle correctJEE Main 2026

In hydrogen atom spectrum, (R → Rydberg's constant) A. the maximum wavelength of the radiation of Lyman series is

\frac{4}{3R}

B. the Balmer series lies in the visible region of the spectrum C. the minimum wavelength of the radiation of Paschen series is

\frac{9}{R}

D. the minimum wavelength of Lyman series is

\frac{5}{4R}

Choose the correct answer from the options given below :

(A)B, D Only
(B)A, B and C Only
(C)A, B and D Only
(D)A, B Only

Q9·PhysicsSingle correctJEE Main 2026

7.9 MeV α−particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately)_________m. [

\frac{1}{4\pi \in_{o}} = 9\times 10^{9}\,\mathrm{Nm}^{2}/\mathrm{C}^{2}

and electron charge

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

]

(A) $5.76 \times 10^{-14}$
(B) $1.44 \times 10^{-13}$
(C) $2.88 \times 10^{-14}$
(D) $1.69 \times 10^{-12}$

Q10·PhysicsSingle correctJEE Main 2026

The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly ____ nm.

(A)1875
(B)1550
(C)1217
(D)1784

Q11·PhysicsSingle correctJEE Main 2026

The energy of an electron in an orbit of the Bohr's atom is

-0.04\text{E}_0

eV where

\text{E}_0

is the ground state energy. If L is the angular momentum of the electron in this orbit and h is the Planck's constant, then

\dfrac{2\pi\text{L}}{\text{h}}

is __________ :

(A)2
(B)4
(C)5
(D)6

Q12·PhysicsSingle correctJEE Main 2026

If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is _________ m. (Atomic number of gold = 79 and

\frac{1}{4\pi \epsilon_{0}} = 9 \times 10^{9}

in SI units)

(A) $2.95 \times 10^{-14}$
(B) $2.95 \times 10^{-16}$
(C) $3.85 \times 10^{-16}$
(D) $3.85 \times 10^{-14}$

Q13·PhysicsNumericalJEE Advanced 2025

A hydrogen atom, initially at rest in its ground state, absorbs a photon of frequency

\nu_1

and ejects the electron with a kinetic energy of 10 eV. The electron then combines with a positron at rest to form a positronium atom in its ground state and simultaneously emits a photon of frequency

\nu_2

. The center of mass of the resulting positronium atom moves with a kinetic energy of 5 eV. It is given that positron has the same mass as that of electron and the positronium atom can be considered as a Bohr atom, in which the electron and the positron orbit around their center of mass. Considering no other energy loss during the whole process, the difference between the two photon energies (in eV) is ______

Q14·PhysicsNumericalJEE Advanced 2025

Consider an electron in the n = 3 orbit of a hydrogen-like atom with atomic number Z. At absolute temperature T, a neutron having thermal energy

k_{B}T

has the same de Broglie wavelength as that of this electron. If this temperature is given by

T = \frac{z^{2}h^{2}}{\alpha\pi^{2}a_{0}^{2}m_{N}k_{B}}

, (where h is the Planck's constant,

k_{B}

is the Boltzmann constant,

m_{N}

is the mass of the neutron and

a_{0}

is the first Bohr radius of hydrogen atom) then the value of

\alpha

is

Q15·PhysicsSingle correctJEE Main 2025

In a hydrogen like ion, the energy difference between the

2^{nd}

excitation energy state and ground is 108.8 eV. The atomic number of the ion is

(A)4
(B)2
(C)1
(D)3

Q16·PhysicsSingle correctJEE Main 2025

For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is.

(A) $5:36$
(B) $5:27$
(C) $3:4$
(D) $27:5$

Q17·PhysicsSingle correctJEE Main 2025

Given below are two statements: Statement (I): The dimensions of Planck's constant and angular momentum are same. Statement (II): In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is integral multiple of Planck's constant. In the light of the above statements, choose the most appropriate answer from the options given below:

(A)Both Statement I and Statement II are correct
(B)Statement I is incorrect but Statement II is correct
(C)Statement I is correct but Statement II is incorrect
(D)Both Statement I and Statement II are incorrect

Q18·PhysicsSingle correctJEE Main 2025

Considering the Bohr model of hydrogen like atoms, the ratio of the ratio of the radius

5^{\text{th}}

orbit of the electron in

Li^{2+}

and

He^{+}

is

(A) $\dfrac{3}{2}$
(B) $\dfrac{4}{9}$
(C) $\dfrac{9}{4}$
(D) $\dfrac{2}{3}$

Q19·PhysicsIntegerJEE Main 2025

An electron in the hydrogen atom initially in the fourth excited state makes a transition to

n^{th}

energy state by emitting a photon of energy 2.86 eV. The integer value of

n

will be __________.

Q20·PhysicsSingle correctJEE Main 2025

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The Bohr model is applicable to hydrogen and hydrogen-like atoms only. Reason R: The formulation of Bohr model does not include repulsive force between electrons. In the light of the above statements, choose the correct answer from the options given below:

(A)Both A and R are true but R is NOT the correct explanation of A.
(B)A is false but R is true.
(C)Both A and R are true and R is the correct explanation of A.
(D)A is true but R is false.

Q21·PhysicsSingle correctJEE Main 2025

Considering Bohr’s atomic model for hydrogen atom: (A) the energy of H atom in ground state is same as energy of He

^+

ion in its first excited state. (B) The energy of H atom in ground state is same as that for Li

^{2+}

ion in its second excited state. (C) The energy of H atom in its ground state is same as that of He

^+

ion for its ground state. (D) the energy of He

^+

ion in its first excited state is same as that for Li

^{2+}

ion in its ground state. Choose the correct answer from the options given below:

(A)(B), (D) only
(B)(A), (B) only
(C)(A), (D) only
(D)(A), (C) only

Q22·PhysicsSingle correctJEE Main 2025

Assuming the validity of Bohr's atomic model for hydrogen like ions, the radius of

Li^{++}

ion in its ground state is given by

\dfrac{1}{X}a_0

, where

X=

______. (Where

a_0

is the first Bohr's radius.)

(A)2
(B)1
(C)3
(D)9

Q23·PhysicsSingle correctJEE Main 2025

The number of spectral lines emitted by atomic hydrogen that is in the

4^{\text{th}}

energy level, is

(A)6
(B)0
(C)3
(D)1

Q24·PhysicsSingle correctJEE Main 2025

The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as

(A) $\frac{1}{n}$
(B) $\frac{1}{n^3}$
(C) $\frac{1}{n^4}$
(D) $\frac{1}{n^2}$

Q25·PhysicsSingle correctJEE Main 2025

During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å and it becomes 6000 Å when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is :-

(A)3000 Å
(B)6000 Å
(C)4000 Å
(D)2000 Å

Q26·PhysicsSingle correctJEE Main 2025

An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then the radius of electronic orbit in the first excited state is:

(A) $\sqrt{\frac{2h}{\pi eB}}$
(B) $\sqrt{\frac{4h}{\pi eB}}$
(C) $\sqrt{\frac{h}{2\pi eB}}$
(D) $\sqrt{\frac{h}{\pi eB}}$

Q27·PhysicsSingle correctJEE Main 2025

An electron is in the orbital radius 5.3×10⁻¹¹ m (ground state) of a hydrogen atom. The ratio of the de Broglie wavelength of the electron in the 3rd excited state to that in the ground state is:

(A)4
(B)9
(C)3
(D)16

Q28·PhysicsSingle correctJEE Advanced 2024

A metal target with atomic number

Z = 46

is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio r of the wavelengths of the

K_\alpha

-line and the cut-off is found to be r = 2 . If the same electron beam bombards another metal target with Z = 41 , the value of r will be

(A)2.53
(B)1.27
(C)2.24
(D)1.58

Q29·PhysicsMultiple correctJEE Advanced 2024

A particle of mass

m

is moving in a circular orbit under the influence of the central force

F(r) = -kr

, corresponding to the potential energy

V(r) = kr^{2}/2

, where

k

is a positive force constant and

r

is the radial distance from the origin. According to the Bohr's quantization rule, the angular momentum of the particle is given by

L = n\hbar

, where

\hbar = h/(2\pi)

,

h

is the Planck's constant, and

n

a positive integer. If

v

and

E

are the speed and total energy of the particle, respectively, then which of the following expression(s) is(are) correct?

(A) $r^{2} = n\hbar\sqrt{\frac{1}{mk}}$
(B) $v^{2} = n\hbar\sqrt{\frac{k}{m^{3}}}$
(C) $\frac{L}{mr^{2}} = \sqrt{\frac{k}{m}}$
(D) $E = \frac{n\hbar}{2}\sqrt{\frac{k}{m}}$

Q30·PhysicsSingle correctJEE Main 2024

A hydrogen atom in ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to transition of electrons?

(A)6
(B)3
(C)10
(D)1

Q31·PhysicsNumericalJEE Main 2024

In an alpha particle scattering experiment distance of closest approach for the

\alpha

particle is

4.5\times10^{-14}

m. If target nucleus has atomic number

80

, then maximum velocity of

\alpha

-particle is ___

\times10^5

m/s approximately.

\left(\dfrac{1}{4\pi\varepsilon_0}=9\times10^9\text{ SI unit, mass of }\alpha\text{ particle}=6.72\times10^{-27}\text{ kg}\right)

Q32·PhysicsSingle correctJEE Main 2024

The ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series for hydrogen atom is:

(A) $4:1$
(B) $1:2$
(C) $1:4$
(D) $2:1$

Q33·PhysicsSingle correctJEE Main 2024

The longest wavelength associated with Paschen series is : (Given

R_H = 1.097 \times 10^7

SI unit)

(A) $1.094 \times 10^{-6}$ m
(B) $2.973 \times 10^{-6}$ m
(C) $3.646 \times 10^{-6}$ m
(D) $1.876 \times 10^{-6}$ m

Q34·PhysicsNumericalJEE Main 2024

In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at

10.2

V. The wavelength of light emitted by hydrogen atom when excited to the first excitation level is ______ nm. (Given

hc = 1245

eV nm,

e = 1.6 \times 10^{-19}

C).

Q35·PhysicsNumericalJEE Main 2024

Radius of a certain orbit of hydrogen atom is 8.48 Å. If energy of the electron in this orbit is

\tfrac{E}{x}

, then

x=

_______. (Given

a_{0}=0.529

Å,

E=

energy of electron in the ground state)

Q36·PhysicsSingle correctJEE Main 2024

In a hydrogen-like system the ratio of the Coulomb force and the gravitational force between an electron and a proton is of the order of:

(A) $10^{39}$
(B) $10^{19}$
(C) $10^{29}$
(D) $10^{36}$

Q37·PhysicsNumericalJEE Main 2024

The shortest wavelength of the spectral lines in the Lyman series of the hydrogen spectrum is 915 Å. The longest wavelength of the spectral lines in the Balmer series will be __________ Å.

Q38·PhysicsSingle correctJEE Main 2024

The angular momentum of an electron in a hydrogen atom is proportional to: (where

r

is the radius of the orbit of the electron)

(A) $\sqrt{r}$
(B) $\dfrac{1}{r}$
(C) $r$
(D) $\dfrac{1}{\sqrt{r}}$

Q39·PhysicsSingle correctJEE Main 2024

An electron rotates in a circle around a nucleus having positive charge

Ze

. The correct relation between the total energy (E) of the electron and its potential energy (U) is:

(A) $E = 2U$
(B) $2E = 3U$
(C) $E = U$
(D) $2E = U$

Q40·PhysicsSingle correctJEE Main 2024

According to Bohr's theory, the moment of momentum of an electron revolving in

4^{\text{th}}

orbit of hydrogen atom is

(A) $\tfrac{8h}{\pi}$
(B) $\tfrac{h}{\pi}$
(C) $\tfrac{2h}{\pi}$
(D) $\tfrac{h}{2\pi}$

Q41·PhysicsNumericalJEE Main 2024

A hydrogen atom changes its state from

n=3

to

n=2

. Due to recoil, the percentage change in the wave length of emitted light is approximately

1\times10^{-n}

. The value of

n

is ___. (Given

Rhc=13.6\,eV

,

hc=1242\,eV\,nm

,

h=6.6\times10^{-34}\,J\,s

, mass of hydrogen atom

=1.6\times10^{-27}\,kg

)

Q42·PhysicsNumericalJEE Main 2024

A particular hydrogen-like ion emits the radiation of frequency

3\times 10^{15}

Hz when it makes transition from

n=2

to

n=1

. The frequency of radiation emitted in transition from

n=3

to

n=1

is

\dfrac{X}{9}\times 10^{15}

Hz, when

X=

__________.

Q43·PhysicsSingle correctJEE Main 2024

The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly:

(A) $1.5\,eV$
(B) $13.6\,eV$
(C) $1.9\,eV$
(D) $12.1\,eV$

Q44·PhysicsSingle correctJEE Main 2024

From the statements given below: (A) The angular momentum of an electron in

n^{\text{th}}

orbit is an integral multiple of

h

. (B) Nuclear forces do not obey inverse square law. (C) Nuclear forces are spin dependent. (D) Nuclear forces are central and charge independent. (E) Stability of nucleus is inversely proportional to the value of packing fraction. Choose the correct answer from the options given below:

(A)(A), (B), (C), (D) only
(B)(A), (C), (D), (E) only
(C)(A), (B), (C), (E) only
(D)(B), (C), (D), (E) only

Q45·PhysicsSingle correctJEE Main 2024

If the wavelength of the first member of Lyman series of hydrogen is

\lambda

. The wavelength of the second member will be :

(A) $\dfrac{27}{32}\lambda$
(B) $\dfrac{32}{27}\lambda$
(C) $\dfrac{27}{5}\lambda$
(D) $\dfrac{5}{27}\lambda$

Q46·PhysicsNumericalJEE Main 2024

A electron of hydrogen atom on an excited state is having energy

E_n=-0.85\,eV

. The maximum number of allowed transitions to lower energy level is ___

Q47·PhysicsSingle correctJEE Main 2024

An electron revolving in

n^{\text{th}}

Bohr orbit has magnetic moment

\mu_n

. If

\mu_n\propto n^x

, then the value of

x

is:

(A)2
(B)1
(C)3
(D)0

Q48·PhysicsSingle correctJEE Main 2024

The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the

5^{th}

excited state of a hydrogen atom is:

(A) $4$
(B) $\dfrac14$
(C) $\dfrac12$
(D) $1$

Q49·PhysicsNumericalJEE Main 2024

Hydrogen atom is bombarded with electrons accelerated through a potential difference of V, which causes excitation of hydrogen atoms. If the experiment is being performed at

T=0

K, the minimum potential difference needed to observe any Balmer series lines in the emission spectra will be

\dfrac{\alpha}{10}

V, where

\alpha=

___.

Q50·PhysicsSingle correctJEE Main 2024

Given below are two statements: Statement I: Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and the electrons revolve around it, is Rutherford’s model. Statement II: An atom is a spherical cloud of positive charges with electrons embedded in it, is a special case of Rutherford’s model. In the light of the above statements, choose the most appropriate from the options given below.

(A)Both statement I and statement II are false
(B)Statement I is false but statement II is true
(C)Statement I is true but statement II is false
(D)Both statement I and statement II are true

Q51·PhysicsNumericalJEE Main 2024

When a hydrogen atom going from

n=2

to

n=1

emits a photon, its recoil speed is

\dfrac{x}{5}

m/s. Where

x=

______ . (Use : mass of hydrogen atom

=1.6\times10^{-27}

kg)

Q52·PhysicsSingle correctJEE Main 2024

The radius of third stationary orbit of electron for Bohr’s atom is

R

. The radius of fourth stationary orbit will be:

(A) $\dfrac{4}{3}R$
(B) $\dfrac{16}{9}R$
(C) $\dfrac{3}{4}R$
(D) $\dfrac{9}{16}R$

Q53·PhysicsNumericalJEE Main 2024

If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will be

\dfrac{\alpha}{7R}

, where

\alpha

is ________.

Q54·PhysicsNumericalJEE Advanced 2023

A Hydrogen-like atom has atomic number Z. Photons emitted in the electronic transitions from level n = 4 to level n = 3 in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of the photoelectrons generated is 1. 95 eV. If the photoelectric threshold wavelength for the target metal is 310 nm, the value of Z is ________. [Given: hc = 1240 eV-nm and Rhc = 13.6 eV, where R is the Rydberg constant, h is the Planck's constant and c is the speed of light in vacuum]

Q55·PhysicsNumericalJEE Main 2023

As per given figure A, B and C are the first, second and third excited energy level of hydrogen atom respectively. If the ratio of the two wavelengths (i.e.

\frac{\lambda_1}{\lambda_2}

) is

\frac{7}{4n}

, then the value of n will be __________.

Q56·PhysicsNumericalJEE Main 2023

An electron in a hydrogen atom revolves around its nucleus with a speed of

6.76 \times 10^6

ms

^{-1}

in an orbit of radius

0.52

A

^\circ

. The magnetic field produced at the nucleus of the hydrogen atom is __________ T.

Q57·PhysicsNumericalJEE Main 2023

An atom absorbs a photon of wavelength 500 nm and emits another photon of wavelength 600 nm. The net energy absorbed by the atom in this process is

n \times 10^{-4}

eV. The value of n is ____. [Assume the atom to be stationary during the absorption and emission process] (Take

h = 6.6 \times 10^{-34}

Js and

c = 3 \times 10^8

m/s)

Q58·PhysicsNumericalJEE Main 2023

The radius of

2^{nd}

orbit of

He^{+}

of Bohr's model is

r_{1}

and that of fourth orbit of

Be^{+3}

is represented as

r_{2}

. Now the ratio

\dfrac{r_{2}}{r_{1}}

is

x:1

. The value of

x

is _____.

Q59·PhysicsSingle correctJEE Main 2023

A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:

(A)2
(B)1
(C)3
(D)4

Q60·PhysicsNumericalJEE Main 2023

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is

x \times 10^{15}

Hz. The value of x is ________. (Given

h = 4.25 \times 10^{-15}

eVs)

Q61·PhysicsSingle correctJEE Main 2023

The energy of the He

^+

ion in the first excited state is (the ground state energy for the hydrogen atom is

-13.6

eV):

(A) $-3.4$ eV
(B) $-54.4$ eV
(C) $-13.6$ eV
(D) $-27.2$ eV

Q62·PhysicsNumericalJEE Main 2023

If

917

Å is the lowest wavelength of the Lyman series, then the lowest wavelength of the Balmer series will be _______ Å.

Q63·PhysicsSingle correctJEE Main 2023

The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be:

(A) $\dfrac{L}{2}$
(B)zero
(C)L
(D)2L

Q64·PhysicsNumericalJEE Main 2023

The ratio of the wavelengths of the spectral lines

H_\alpha

and

H_\beta

in the Balmer series is

\dfrac{x}{20}

. The value of x is ____.

Q65·PhysicsSingle correctJEE Main 2023

A small particle of mass

m

moves in such a way that its potential energy

U = \dfrac{1}{2}m\omega^2 r^2

where

\omega

is constant and

r

is the distance of the particle from origin. Assuming Bohr's quantization of momentum and circular orbit, the radius of

n^{th}

orbit will be proportional to:

(A) $\sqrt{n}$
(B) $n$
(C) $n^2$
(D) $\dfrac{1}{n}$

Q66·PhysicsSingle correctJEE Main 2023

The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is:

(A)C
(B)D
(C)B
(D)A

Q67·PhysicsNumericalJEE Main 2023

The radius of the fifth orbit of the

Li^{++}

is _____

\times10^{-12}\,m

. (radius of hydrogen atom

=0.51\,\mathring{A}

)

Q68·PhysicsNumericalJEE Main 2023

Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. The orbital radius of the electron in a hydrogen atom is

\dfrac{9}{x}\times10^{-10}

m. The value of

x

is (

\dfrac{1}{4\pi\varepsilon_0}=9\times10^9

Nm

^2

/C

^2

and electronic charge

=1.6\times10^{-19}

C)

Q69·PhysicsNumericalJEE Main 2023

A light of energy

12.75

eV is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its excited states. The angular momentum of the atom in the excited state is

\tfrac{x}{\pi}\times10^{-17}

eVs. The value of

x

is _______ (use

h=4.14\times10^{-15}

eVs,

c=3\times10^8

ms

^{-1}

).

Q70·PhysicsSingle correctJEE Main 2023

An electron of a hydrogen like atom, having

Z=4

, jumps from

4^{th}

energy state to

2^{nd}

energy state. The energy released in this process, will be: (Given

Rch=13.6

eV) where

R

= Rydberg constant,

c

= Speed of light in vacuum,

h

= Planck's constant

(A) $40.8\,eV$
(B) $3.4\,eV$
(C) $10.5\,eV$
(D) $13.6\,eV$

Q71·PhysicsSingle correctJEE Main 2023

The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3rd orbit will be

(A) $\dfrac{R}{3}$
(B) $3R$
(C) $2.25R$
(D) $9R$

Q72·PhysicsNumericalJEE Main 2023

For hydrogen atom,

\lambda_1

and

\lambda_2

are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of

\lambda_1

and

\lambda_2

is

\frac{x}{32}

. The value of

x

is __________.

Q73·PhysicsNumericalJEE Main 2023

If the binding energy of ground state electron in a hydrogen atom is

13.6

eV, then, the energy required to remove the electron from the second excited state of

Li^{2+}

will be

x\times10^{-1}

eV. The value of

x

is _________.

Q74·PhysicsSingle correctJEE Main 2023

Speed of an electron in Bohr's

7^{th}

orbit for Hydrogen atom is

3.6\times10^6

m/s. The corresponding speed of the electron in

3^{rd}

orbit, in m/s is:

(A) $1.8\times10^6$
(B) $3.6\times10^6$
(C) $7.5\times10^6$
(D) $8.4\times10^6$

Q75·PhysicsSingle correctJEE Main 2023

The energy levels of an atom is shown in figure. Which one of these transitions will result in the emission of a photon of wavelength

124.1

nm? Given

h = 6.62\times10^{-34}

Js.

(A)D
(B)B
(C)C
(D)A

Q76·PhysicsNumericalJEE Main 2023

The wavelength of the radiation emitted is

\lambda_0

when an electron jumps from the second excited state to the first excited state of a hydrogen atom. If the electron jumps from the third excited state to the second excited state of the hydrogen atom, the wavelength of the radiation emitted will be

\dfrac{20}{x}\lambda_0

. The value of

x

is _______.

Q77·PhysicsSingle correctJEE Main 2023

A photon is emitted in transition from

n=4

to

n=1

level in hydrogen atom. The corresponding wavelength for this transition is (given,

h=4\times10^{-15}

eVs):

(A) $99.3$ nm
(B) $941$ nm
(C) $974$ nm
(D) $94.1$ nm

Q78·PhysicsSingle correctJEE Main 2022

Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.

(A)3 : 4
(B)4 : 3
(C)1 : 4
(D)4 : 1

Q79·PhysicsNumericalJEE Main 2022

In a hydrogen spectrum ,λ be the wavelength of first transition line of Lyman series. The wavelength difference will be "aλ" between the wavelength of 3

^{rd}

transition line of Paschen series and that of 2

^{nd}

transition line of Balmer Series where a = ________

Q80·PhysicsSingle correctJEE Main 2022

The momentum of an electron revolving in

n^{th}

orbit is given by : (Symbols have their usual meanings)

(A) $\frac{nh}{2\pi r}$
(B) $\frac{nh}{2r}$
(C) $\frac{nh}{2\pi}$
(D) $\frac{2\pi r}{nh}$

Q81·PhysicsNumericalJEE Main 2022

\sqrt{d_1}

and

\sqrt{d_2}

are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For

d_1 = x\, d_2

, the value of x will be________.

Q82·PhysicsSingle correctJEE Main 2022

Given below are two statements: Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit

(E_{1})

to higher energy orbit

(E_{2})

, is given as

hf = E_{1} - E_{2}

. Statement-II : The jumping of electron from higher energy orbit

(E_{2})

to lower energy orbit

(E_{1})

is associated with frequency of radiation given as

f = (E_{2} - E_{1})/h

This condition is Bohr's frequency condition. In the light of the above statements, choose the correct answer from the options given below:

(A)Both statement I and statement II are true.
(B)Both statement I and statement II are false
(C)Statement I is correct but statement II is false
(D)Statement I is incorrect but statement II is true.

Q83·PhysicsNumericalJEE Main 2022

A beam of monochromatic light is used to excite the electron in

Li^{++}

from the first orbit to the third orbit. The wavelength of monochromatic light is found to be

x \times 10^{-10} m

. The value of x is _______ . [Given hc = 1242 eV nm]

Q84·PhysicsSingle correctJEE Main 2022

A hydrogen atom in is ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of : (Given, Plank's constant

= 6.6 \times 10^{-34}

Js)

(A) $2.10 \times 10^{-34}\ Js$
(B) $1.05 \times 10^{-34}\ Js$
(C) $3.15 \times 10^{-34}\ Js$
(D) $4.2 \times 10^{-34}\ Js$

Q85·PhysicsSingle correctJEE Main 2022

The ratio for the speed of the electron in the 3rd orbit of He

^{+}

to the speed of the electron in the 3rd orbit of hydrogen atom will be :-

(A)1 : 1
(B)1 : 2
(C)4 : 1
(D)2 : 1

Q86·PhysicsSingle correctJEE Main 2022

Choose the correct option from the following options given below :

(A)In the ground state of Rutherford's model electrons are in stable equilibrium. While in Thomson's model electrons always experience a net-force.
(B)An atom has a nearly continuous mass distribution in a Rutherford's model but has a highly non-uniform mass distribution in Thomson's model
(C)A classical atom based on Rutherford's model is doomed to collapse.
(D)The positively charged part of the atom possesses most of the mass in Rutherford's model but not in Thomson's model.

Q87·PhysicsSingle correctJEE Main 2022

In Bohr's atomic model of hydrogen, let K. P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :

(A)All K. P and E increase.
(B)K decreases. P and E increase.
(C)P decreases. K and E increase.
(D)K increases. P and E decrease.

Q88·PhysicsMultiple correctJEE Advanced 2021

Which of the following statement(s) is(are) correct about the spectrum of hydrogen atom ?

(A)The ratio of the longest wavelength to the shortest wavelength in Balmer series is 9/5
(B)There is an overlap between the wavelength ranges of Balmer and Paschen series.
(C)The wavelengths of Lyman series are given by $\left(1 + \frac{1}{m^2}\right)\lambda_0$ , where $\lambda_0$ is the shortest wavelength of Lyman series and m is an integer
(D)The wavelength ranges of Lyman and Balmer series do not overlap

Q89·PhysicsSingle correctJEE Main 2021

A free electron of 2.6 eV energy collides with a H

^+

ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon.

(h = 6.6 \times 10^{-34}

Js

)

(A) $1.45 \times 10^{16}$ MHz
(B) $0.19 \times 10^{15}$ MHz
(C) $1.45 \times 10^{9}$ MHz
(D) $9.0 \times 10^{27}$ MHz

Q90·PhysicsNumericalJEE Main 2021

X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n = 6 ? The value of X is ________ .

Q91·PhysicsSingle correctJEE Main 2021

A particular hydrogen like ion emits radiation of frequency 2.92

\times

10^{15}

Hz when it makes transition from n = 3 to n = 1. The frequency in Hz of radiation emitted in transition from n = 2 to n = 1 will be :

(A)0.44 $\times$ $10^{15}$
(B)6.57 $\times$ $10^{15}$
(C)4.38 $\times$ $10^{15}$
(D)2.46 $\times$ $10^{15}$

Q92·PhysicsNumericalJEE Main 2021

In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 Å. If the speed of electron is 2.2×

10^{6}

m /s, then the current associated with the electron will be ____ ×

10^{-2}

mA. [ Take π as

\frac{22}{7}

]

Q93·PhysicsNumericalJEE Main 2021

The K

_\alpha

- X ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atom with a K electron knocked out is 27.5 ke V, the energy of this atom when an L electron is knocked out will be ________ ke V. (Round off to the nearest integer) [ h = 4.14×10

^{-15}

eVs,c = 3×10

^8

ms

^{-1}

]

Q94·PhysicsSingle correctJEE Main 2021

Imagine that the electron in a hydrogen atom is replaced by a muon (µ). The mass of muon particle is 207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be :-

(A)13.6 eV
(B)2815.2 eV
(C)331.2 eV
(D)27.2 eV

Q95·PhysicsNumericalJEE Main 2021

A particle of mass m moves in a circular orbit in a central potential field U(r) = U

_{0}

r

^{4}

. If Bohr's quantization conditions are applied, radii of possible orbitals r

_{n}

vary with n

^{1/\alpha}

, where α is___________.

Q96·PhysicsSingle correctJEE Main 2021

Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

(A)1
(B)6
(C)4
(D)8

Q97·PhysicsSingle correctJEE Main 2021

If an electron is moving in the

n^{th}

orbit of the hydrogen atom, then its velocity

(v_n)

for the

n^{th}

orbit is given as :

(A) $v_n \propto n$
(B) $v_n \propto \frac{1}{n}$
(C) $v_n \propto n^2$
(D) $v_n \propto \frac{1}{n^2}$

Q98·PhysicsSingle correctJEE Main 2021

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

(A)Brackett series
(B)Paschen series
(C)Lyman series
(D)Balmer series

Q99·PhysicsNumericalJEE Main 2021

The first three spectral lines of H-atom in the Balmer series are given λ

_{1}

, λ

_{2}

, λ

_{3}

considering the Bohr atomic model, the wave lengths of first and third spectral lines

\left(\dfrac{\lambda_{1}}{\lambda_{3}}\right)

are related by a factor of approximately 'x' × 10

^{-1}

. The value of x, to the nearest integer, is ________.

Q100·PhysicsSingle correctJEE Main 2021

The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 1 state will be:

(A)4.17 m/s
(B)4.34 m/s
(C)219 m/s
(D)3.25 m/s

Q101·PhysicsSingle correctJEE Main 2021

If λ

_1

and λ

_2

are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of λ

_1

: λ

_2

is :

(A)1 : 3
(B)1 : 9
(C)7 : 135
(D)7 : 108

Q102·PhysicsSingle correctJEE Main 2021

The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is:

(A)194.8 nm
(B)490.7 nm
(C)913.3 nm
(D)121.8 nm

Q103·PhysicsSingle correctJEE Main 2021

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A,B,C,D and E. The transitions A,B and C respectively represents –

(A)The series limit of Lyman series, third member of balmer series and second member of paschen series
(B)The first member of the Lyman series, third member of Balmer series and second member of paschen series
(C)The ionization potential of hydrogen, second member of Balmer series and third member of Paschen series
(D)The series limit of Lyman series, second memebr of Balmer series and second member of Paschen series.

Q104·PhysicsSingle correctJEE Main 2021

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

(A)n=2 to n=1
(B)n=4 to n =3
(C)n=5 to n=4
(D)n=3 to n=2

Q105·PhysicsMultiple correctJEE Advanced 2020

In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance

d

from the cathode. The target is kept at a potential

V

higher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current

I

is decreased to

\frac{I}{2}

, the potential difference

V

is increased to

2V

, and the separation distance

d

is reduced to

\frac{d}{2}

, then

(A)the cut-off wavelength will reduce to half, and the wavelengths of the characteristic X-rays will remain the same
(B)the cut-off wavelength as well as the wavelengths of the characteristic X-rays will remain the same
(C)the cut-off wavelength will reduce to half, and the intensities of all the X-rays will decrease
(D)the cut-off wavelength will become two times larger, and the intensity of all the X-rays will decrease

Q106·PhysicsMultiple correctJEE Advanced 2020

A particle of mass m moves in circular orbits with potential energy

V(r) = Fr

, where F is a positive constant and r is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle's orbit is denoted by R and its speed and energy are denoted by v and E, respectively, then for the

n^{th}

orbit (here h is the Planck's constant)-

(A) $R \propto n^{1/3}$ and $v \propto n^{2/3}$
(B) $R \propto n^{2/3}$ and $v \propto n^{1/3}$
(C) $E = \frac{3}{2}\left(\frac{n^2h^2F^2}{4\pi^2m}\right)^{1/3}$
(D) $E = 2\left(\frac{n^2h^2F^2}{4\pi^2m}\right)^{1/3}$

Q107·PhysicsNumericalJEE Main 2020

A particle of mass 200 MeV/c

^2

collides with a hydrogen atom at rest. Soon after the collision the particle comes to rest, and the atom recoils and goes to its first excited state. The initial kinetic energy of the particle (in eV) is

\dfrac{N}{4}

. The value of N is: (Given the mass of the hydrogen atom to be 1 GeV / c

^2

).

Q108·PhysicsSingle correctJEE Main 2020

The energy required to ionize a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited state to the ground state?

(A)11.4 nm
(B)35.8 nm
(C)24.2 nm
(D)8.6 nm

Q109·PhysicsNumericalJEE Main 2020

The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The wavelength of the second member of the Balmer series (in nm) is ____.

Q110·PhysicsSingle correctJEE Main 2020

The graph which depicts the results of Rutherford gold foil experiment with α-particles is θ : Scattering angle Y : Number of scattered α-particles detected (Plots are schematic and not to scale)

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q111·PhysicsSingle correctJEE Main 2020

The time period of revolution of electron in its ground state orbit in a hydrogen atom is

1.6 \times 10^{-16}

s. The frequency of revolution of the electron is its first excited state (in s

^{-1}

) is

(A) $7.8 \times 10^{14}$
(B) $1.6 \times 10^{14}$
(C) $6.2 \times 10^{15}$
(D) $5.6 \times 10^{12}$

Q112·PhysicsMultiple correctJEE Advanced 2019

A free hydrogen atom after absorbing a photon of wavelength

\lambda_a

gets excited from the state n = 1 to the state n = 4. Immediately after that the electron jumps to n = m state by emitting a photon of wavelength

\lambda_e

. Let the change in momentum of atom due to the absorption and the emission are

\Delta p_a

and

\Delta p_e

. respectively. If

\frac{\lambda_a}{\lambda_e} = \frac{1}{5}

, which of the option(s) is /are correct ? [Use hc = 1242 eV nm; 1 nm =

10^{-9}

m, h and c are Planck's constant and speed of light, respectively]

(A) $\frac{\Delta p_a}{\Delta p_e} = \frac{1}{2}$
(B)The ratio of kinetic energy of the electron in the state n = m to the state n = 1 is $\frac{1}{4}$
(C) $\lambda_e = 418$ nm
(D)m = 2

Q113·PhysicsSingle correctJEE Main 2019

The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths,

\lambda_{1}/\lambda_{2}

, of the photons emitted in this process is :

(A)20/7
(B)7/5
(C)9/7
(D)27/5

Q114·PhysicsSingle correctJEE Main 2019

An excited He

^+

ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a transition to ground state. The quantum number n, corresponding to its initial excited state is (for photon of wavelength

\lambda

, energy

E=\dfrac{1240\ \text{eV}}{\lambda(\text{in nm})}

:)

(A)n = 4
(B)n = 6
(C)n = 5
(D)n = 7

Q115·PhysicsSingle correctJEE Main 2019

Consider an electron in a hydrogen atom, revolving in its second excited state (having radius 4.65 Å). The de-Broglie wavelength of this electron is :

(A)12.9 Å
(B)9.7 Å
(C)6.6 Å
(D)3.5 Å

Q116·PhysicsSingle correctJEE Main 2019

In Li

^{++}

, electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets deexcited to the ground state in all possible ways(including intermediate emission) a total of six spectral lines are observed. What is the value of λ? (Given: h =

6.63 \times 10^{34}

js; e =

3 \times 10^{8}

ms

^{-1}

)

(A)10.8 nm
(B)11.4 nm
(C)9.4 nm
(D)12.3 nm

Q117·PhysicsSingle correctJEE Main 2019

A He+ ion is in its first excited state. Its ionization energy is:

(A)6.04 eV
(B)13.60 eV
(C)54.40 eV
(D)48.36 eV

Q118·PhysicsSingle correctJEE Main 2019

Radiation coming from transition n = 2 to n = 1 of hydrogen atoms fall of

He^{+}

ions in n = 1 and n = 2 states. The possible. Transition of helium ions as they absorb energy from the radiation is:

(A) $n=2\rightarrow n=4$
(B) $n=2\rightarrow n=5$
(C) $n=2\rightarrow n=3$
(D) $n=1\rightarrow n=4$

Q119·PhysicsSingle correctJEE Main 2019

In a Frank-hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The minimum wavelength of photons emitted by mercury atoms is close to :

(A)1700 nm
(B)2020 nm
(C)220 nm
(D)250 nm

Q120·PhysicsSingle correctJEE Main 2019

A particle of mass m moves in a circular orbit in a central potential field

U(r)=\dfrac{1}{2}kr^2

. If Bohr's quantization conditions are applied, radii of possible orbits and energy levels vary with quantum number n as:

(A) $r_n \propto \sqrt{n}$ , $E_n \propto n$
(B) $r_n \propto \sqrt{n}$ , $E_n \propto \dfrac{1}{n}$
(C) $r_n \propto n$ , $E_n \propto n$
(D) $r_n \propto n^2$ , $E_n \propto \dfrac{1}{n^2}$

Q121·PhysicsSingle correctJEE Main 2019

A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 Å. The radius of the atom in the excited state, in terms of Bohr radius

a_0

, will be: (hc = 12500 eV- Å)

(A) $25a_0$
(B) $9a_0$
(C) $16a_0$
(D) $4a_0$

Q122·PhysicsSingle correctJEE Main 2019

In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell the wavelength of emitted radiation is

\lambda

. If an electron jumps from N-shell to the L-shell the wavelength of emitted radiation will be:

(A) $\frac{27}{20}\lambda$
(B) $\frac{16}{25}\lambda$
(C) $\frac{25}{16}\lambda$
(D) $\frac{20}{27}\lambda$

Q123·PhysicsNumericalJEE Advanced 2018

Consider a hydrogen-like ionized atom with atomic number Z with a single electron. In the emission spectrum of this atom, the photon emitted in the n = 2 to n = 1 transition has energy 74.8 eV higher than the photon emitted in the n = 3 to n = 2 transition. The ionization energy of the hydrogen atom is 13.6 eV. The value of Z is ___________.

Q124·PhysicsIntegerJEE Advanced 2017

An electron in a hydrogen atom undergoes a transition from an orbit with quantum numebr

n_{i}

to another with quantum number

n_{f}

.

V_{i}

and

V_{f}

are respectively the initial and final potential energies of the electon. If

\frac{V_{i}}{V_{f}} = 6.25

, then the smallest possible

n_{f}

is

Q125·PhysicsMultiple correctJEE Advanced 2016

Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge

Ze

are defined by their principal quantum number

n

, where

n >> 1

. Which of the following statement(s) is (are) true?

(A)Relative change in the radii of two consecutive orbitals does not depend on $Z$
(B)Relative change in the radii of two consecutive orbitals varies as $1/n$
(C)Relative change in the energy of two consecutive orbitals varies as $1/n^{3}$
(D)Relative change in the angular momenta of two consecutive orbitals varies as $1/n$

Q126·PhysicsIntegerJEE Advanced 2016

A hydrogen atom in its ground state is irradiated by light of wavelength 970 Å. Taking

hc/e = 1.237 \times 10^{-6}

eV m and the ground state energy of hydrogen atom as −13.6 eV, the number of lines present in the emission spectrum is

Q127·PhysicsIntegerJEE Advanced 2015

An electron in an excited state of

\mathrm{Li^{2+}}

ion has angular momentum

3h/2\pi

. The de Broglie wavelength of the electron in this state is

p\pi a_{0}

(where

a_{0}

is the Bohr radius). The value of

p

is

Q128·PhysicsIntegerJEE Advanced 2015

Consider a hydrogen atom with its electron in the

n^{\text{th}}

orbital. An electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV, then the value of

n

is (hc = 1242 eV nm)

Q129·PhysicsSingle correctJEE Advanced 2014

If

\lambda_{cu}

is the wavelength of

K_{\alpha}

X-ray line of copper (atomic number 29) and

\lambda_{Mo}

is the wavelength of the

K_{\alpha}

X-ray line of molybdenum (atomic number 42), then the ratio

\lambda_{cu}/\lambda_{Mo}

is close to

(A)1.99
(B)2.14
(C)0.50
(D)0.48

Q130·PhysicsMultiple correctJEE Advanced 2013

The radius of the orbit of an electron in a Hydrogen-like atom is

4.5a_{0}

where

a_{0}

is the Bohr radius. Its orbital angular momentum is

\frac{3h}{2\pi}

. It is given that

h

is Planck's constant and

R

is Rydberg constant. The possible wavelength(s), when the atom de-excites, is (are)

(A) $\frac{9}{32R}$
(B) $\frac{9}{16R}$
(C) $\frac{9}{5R}$
(D) $\frac{4}{3R}$

Atoms — JEE Previous Year Questions

All 130 Atoms questions

Atoms — frequently asked

How many questions from Atoms appear in JEE?

Is Atoms an important chapter for JEE?

Where do these Atoms questions come from?

Other Physics chapters

Practise Atoms until it stops costing you marks.