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Atomic Physics — JEE Main & Advanced Physics PYQs

374 previous year questions from Atomic Physics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

374 questionsPhysicsSolutions on every page
1

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^ th orbit, respectively. The electron undergoes

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The ratio of momentum of the photons of the 1^ st and 2^ nd line of Balmer series of Hydrogen atoms is / . The possible values of and are:-

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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

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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

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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 _______.

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Angular momentum of an electron in a hydrogen atom is 3h , then the energy of the electron is _______ eV.

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Two electrons are moving in orbits of two hydrogen like atoms with speeds 3 10⁵ ~m / s and 2.5 10⁵ ~m / s respectively. If the radii of these orbits are nearly same then the possib

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In hydrogen atom spectrum, (R Rydberg's constant ) A. the maximum wavelength of the radiation of Lyman series is 4 3 R B. the Balmer series lies in the visible region of the spectr

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

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The energy of an electron in an orbit of the Bohr's atom is -0.04 E₀ eV where E₀ is the ground state energy. If L is the angular momentum of the electron in this orbit and h is the

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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 1 4 _ o =9 10

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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 wave

JEE Advanced 2025 Solution View → 13

List-I shows various functional dependencies of energy (E) on the atomic number (Z) . Energies associated with certain phenomena are given in List-II. the option that describes the

JEE Advanced 2025 Solution View → 14

A hydrogen atom, initially at rest in its ground state, absorbs a photon of frequency v₁ and ejects the electron with a kinetic energy of 10 eV . The electron then combines with a

JEE Advanced 2025 Solution View → 15

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

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

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Considering the Bohr model of hydrogen like atoms, the ratio of the ratio of the radius 5^ th orbit of the electron in Li ²⁺ and He ⁺ is

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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

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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

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Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li ⁺⁺ ion in its ground state is given by 1 X a₀ , where X= _______. (Where a ₀ is the first Bohr'

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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 g

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The number of spectral lines emitted by atomic hydrogen that is in the 4^ th energy level, is

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Emission of electrons in photoelectric effect can be supp

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

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Arrange the following in the ascending order of wavelength ( ) : (A) Microwaves ( ₁ ) (B) Ultraviolet rays ( ₂ ) (C) Infrared rays ( ₃ ) (D) X-rays ( ₄ ) Choose the most appropriat

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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 t

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A particle of mass m is moving in a circular orbit under the influence of the central force F(r)=-k r , corresponding to the potential energy V(r)=k r^2 / 2 , where k is a positive

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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?

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In an alpha particle scattering experiment distance of closest approach for the particle is 4.5 10⁻¹⁴ ~m . If target nucleus has atomic number 80 , then maximum velocity of - parti

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The longest wavelength associated with Paschen series is : (Given R _ H =1.097 10^7 SI unit)

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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 firs

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

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Radius of a certain orbit of hydrogen atom is 8.48 Ã… . If energy of electron in this orbit is E / x . then x= _____ (Given a ₀=0.529 Ã…, E= energy of electron in ground state).

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The angular momentum of an electron in a hydrogen atom is proportional to : (Where r is the radius of orbit of electron)

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The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is 915 Ã… . The longest wavelength of spectral lines in the Balmer series will be _____ Ã… .

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An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is :

JEE Main 2024 Solution View → 37

According to Bohr's theory, the moment of momentum of an electron revolving in 4^ th orbit of hydrogen atom is:

JEE Main 2024 Solution View → 38

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 10^ -n . The value of n is_____. [Gi

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A particular hydrogen - like ion emits the radiation of frequency 3 × 10 15 Hz when it makes transition from n = 2 to n = 1 . The frequency of radiation emitted in transition from

JEE Main 2024 Solution View → 40

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

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The mass defect in a particular reaction is 0 . 4 g . The amount of energy liberated is n × 10 7 kW h , where n = _____. (speed of light = 3 × 10 8 m s - 1 )

JEE Main 2024 Solution View → 42

If the wavelength of the first member of Lyman series of hydrogen is λ . The wavelength of the second member will be

JEE Main 2024 Solution View → 43

An electron revolving in n th Bohr orbit has magnetic moment μ n . If μ n ∝ n x , the value of x is:

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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 :

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An 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 _______.

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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 Rut

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Hydrogen atom is bombarded with electrons accelerated through a potential different of V , which causes excitation of hydrogen atoms. If the experiment is being formed at T = 0 K .

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When a hydrogen atom going from n = 2 to n = 1 emits a photon, its recoil speed is x 5 m s - 1 . Where x = _______. (Use: mass of hydrogen atom = 1 . 6 × 10 - 27 kg , charge of ele

JEE Main 2024 Solution View → 49

If Rydberg's constant is R , the longest wavelength of radiation in Paschen series will be α 7 R , where α = ______.

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The radius of third stationary orbit of electron for Bohr's atom is R . The radius of fourth stationary orbit will be:

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As per given figure A , B and C are the first, second and third excited energy levels of hydrogen atom respectively. If the ratio of the two wavelengths i . e . λ 1 λ 2 i

JEE Main 2023 Solution View → 52

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 × 10 - 4 eV . The value

JEE Main 2023 Solution View → 53

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 r 2 r 1 is x : 1 . The value of x is _____.

JEE Main 2023 Solution View → 54

A 12 . 5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:

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The energy of He + ion in its first state is, (The ground state energy for the Hydrogen atom - 13 . 6 eV ):

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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

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If 917 Å be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be Å .

JEE Main 2023 Solution View → 58

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

JEE Main 2023 Solution View → 59

The ratio of wavelength of spectral lines H α and H β in the Balmer series is x 20 . The value of x is _____.

JEE Main 2023 Solution View → 60

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

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The radius of fifth orbit of Li + + is _______ × 10 - 12 m . Take: radius of hydrogen atom = 0 . 51 A ∘

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An electron of a hydrogen like atom, having Z = 4 , jumps from 4 t h energy state to 2 n d energy state, The energy released in this process, will be: (Given R c h = 13 . 6 e V ) W

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Nucleus a having Z = 17 and equal number of protons and neutrons has 1 . 2 MeV binding energy per nucleon. Another nucleus B of Z = 12 has total 26 nucleons and 1 . 8 MeV binding e

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The mass of proton, neutron and helium nucleus are respectively 1 . 0073 u , 1 . 0087 u and 4 . 0015 u . The binding energy of helium nucleus is:

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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 momentu

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

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For hydrogen atom, λ 1 and λ 2 are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of λ 1 and λ 2 is x 32 .

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Speed of an electron in Bohr’s 7 th orbit for Hydrogen atom is 3 . 6 × 10 6 m s - 1 . The corresponding speed of the electron in 3 rd orbit, in m s - 1 is :

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The energy levels of an atom is shown is figure. Which one of these transitions will result in the emission of a photon of wavelength 124 . 1   nm ? Given ( h   =  

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The wavelength of the radiation emitted is λ 0 when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the

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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 × 10 - 15 eV s )

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Read the following statements: (A) Volume of the nucleus is directly proportional to the mass number. (B) Volume of the nucleus is independent of mass number. (C) Density of the nu

JEE Main 2022 Solution View → 73

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

JEE Main 2022 Solution View → 74

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

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Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength λ . The value of principal quantum number n of the excited state will be : ( R : Rydber

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x x + 4 is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) third permitted energy level to the second level and (ii) the hi

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The momentum of an electron revolving in n t h orbit is given by : (Symbols have their usual meanings)

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d 1 and 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

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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

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A hydrogen atom in its ground state absorbs 10 . 2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of (Given, Planck's constant =

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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 × 10 - 1

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Which of the following figure represents the variation of ln R R 0 with ln A (if R = radius of a nucleus and A = its mass number)

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The ratio for the speed of the electron in the 3 rd orbit of He + to the speed of the electron in the 3 rd orbit of hydrogen atom will be :

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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 e

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Choose the correct option from the following options given below :

JEE Main 2022 Solution View → 86

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

JEE Advanced 2021 Solution View → 87

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

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

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A particular hydrogen like ion emits radiation of frequency 2 . 92 × 10 15 Hz when it makes transition from n = 3 to n = 1 . The frequency in Hz of radiation emitted in transi

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The K α 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 keV , the energy of this atom when an L elec

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In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0 . 5   A ∘ . If the speed of electron is 2 . 2 × 10 6   m  

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The radiation corresponding to 3 → 2 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. These electrons are passed through a magnetic field of

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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 elect

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

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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 va

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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:

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

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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 spect

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

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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 :

JEE Main 2021 Solution View → 101

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

JEE Main 2021 Solution View → 102

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

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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 represent

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A particle of mass m moves in circular orbits with potential energy U r = F r , where F is a positive constant and r is its distance from the origin. Its energies are calculated us

JEE Advanced 2020 Solution View → 105

In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyman series is 305 A ∘ . The corresponding difference for the Pascha

JEE Main 2020 Solution View → 106

In a hydrogen atom the electron makes a transition from n + 1 th level to the n th level. If n > > 1 , the frequency of radiation emitted is proportional to :

JEE Main 2020 Solution View → 107

The energy required to ionise 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 se

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The first member of the Balmer series of hydrogen atom has a wavelength of 6561 A ∘ . The wavelength of the second member of the Balmer series (in nm) is_____________

JEE Main 2020 Solution View → 109

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 (Plot

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The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6 × 10 - 16 s . The frequency of revolution of the electron in its first excited st

JEE Main 2020 Solution View → 111

The shortest wavelength of the Brackett series of a hydrogen like atom (Atomic number = Z ) is the same as the shortest wavelength of the Balmer series of hydrogen atom. The value

NTA Abhyas JEE Main 2020 Solution View → 112

Monochromatic radiation of wavelength λ is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different

NTA Abhyas JEE Main 2020 Solution View → 113

The shortest wavelength in Lyman series is 91 .2 nm . The longest wavelength of the series is

NTA Abhyas JEE Main 2020 Solution View → 114

In the spectrum of the hydrogen atom, the ratio of the wavelengths of the longest wavelength in L y m a n series to the longest wavelength in the B a l m e r series is

NTA Abhyas JEE Main 2020 Solution View → 115

Assuming f to be the frequency of the electromagnetic wave corresponding to the first line in Balmer series, the frequency of the immediate next line is

NTA Abhyas JEE Main 2020 Solution View → 116

The velocity of the electrons liberated by electromagnetic radiation of wavelength λ = 18 . 0   nm , from stationary He + ions in the ground state, is

NTA Abhyas JEE Main 2020 Solution View → 117

A travelling nucleus A having a de-Broglie wavelength λ A spontaneously splits into two nuclei B and C of equal masses. After the split, B travels in the same direction while

NTA Abhyas JEE Main 2020 Solution View → 118

If an electron in a hydrogen atom is in its 2 nd excited state, orbiting the nucleus in a stationary orbit of radius 4 . 65   A ∘ , then its de-Broglie wavelength is

NTA Abhyas JEE Main 2020 Solution View → 119

When photons of energy 4 . 0 eV fall on the surface of a metal A , the ejected photoelectrons have maximum kinetic energy T A (in eV ) and a de-Broglie wavelength λ A . When the sa

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Find the atomic number for an atom that emits K α radiation with wavelength 4 λ , if K α wavelength emitted by an atom of atomic number Z = 11 is λ .

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