JEE Main · Physics · Atoms
Bohr's Atomic Model: JEE Main previous year questions
77 questions in the 108 JEE Main shifts Lumi analysed, in 8 of 8 years. Pattern: Asked most years. 28 came in 2024–26. Here is how it is asked and which ideas come back.
- Questions
- 77
- in 62 of 108 shifts
- Years asked
- 8/8
- last asked 2026
- Weighted estimate
- 0.7
- model; history: 0.7 a shift on average, typically 0.4–0.8
Key findings
- 01
Asked in 8 of 8 years with analysed shifts and in 62 of 108 shifts: 77 questions, #21 of 196 topics. It came in every year with analysed shifts.
- 02
33% of its questions since 2020 tested an idea no earlier year had asked; 40 repeated an idea from the year before.
- 03
The most repeated idea is Energy Level Calculations, asked 12 times in 12 shifts (2021, 2022, 2023, 2024, 2025, 2026), most often as “energy in orbit from angular momentum”.
- 04
JEE Main has asked 22 of the 58 ideas in this topic; 26 have never been asked, directly or inside another question.
- 05
Mostly asked as single correct (56%); 35% need a numerical answer, 58% are easy and 4% hard.
- 06
The skill tested most is calculation (53%), then multi-step (18%).
Questions a shift, year by year
Out of the 25 Physics questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.
Raw count: 2017: 1 in 1 shift · 2020: 5 in 12 shifts · 2021: 18 in 24 shifts · 2022: 13 in 24 shifts · 2023: 12 in 12 shifts · 2024: 17 in 18 shifts · 2025: 7 in 8 shifts · 2026: 4 in 9 shifts.
- Up to 2023
- 0.6
- a shift, of 25
- Since 2024
- 0.7
- 0.1
- Usual gap
- 1.3 yrs
- between years asking it
- Shifts with it
- 62/108
- 57% of analysed shifts
Recent framings
- numerical: ratio of photon momenta in Balmer lines
- numerical: wavelength of hydrogen transition
- numerical: ratio of quantity in two orbits
Revise first
- Energy Level Calculations · asked 2021, 2022, 2023, 2024, 2025, 2026
- Angular Momentum Quantization · asked 2021, 2022, 2023, 2024, 2025
- Rydberg Formula and Spectra · asked 2020, 2021, 2022, 2023, 2024, 2026
How it is asked
Difficulty, format and skill
Across all 77 questions on Bohr's Atomic Model since 2017.
Difficulty
QUESTIONS- Easy45 · 58%
- Medium29 · 38%
- Hard3 · 4%
Format
SHARE- Single correct · 43 Q56%
- Numerical value · 27 Q35%
- Two statements · 2 Q3%
- Other · 2 Q3%
- Diagram based · 2 Q3%
- Assertion–reason · 1 Q1%
Skill tested
SHARE- Calculation · 41 Q53%
- Multi-step · 14 Q18%
- Conceptual · 10 Q13%
- Application · 7 Q9%
- Recall · 3 Q4%
- Diagram reading · 2 Q3%
Repeats
New idea, or one asked before?
Each column is a year. Blue questions tested an idea no earlier year had asked; navy ones went back to an idea from an earlier year. 2017 is the first year, so everything in it counts as new. Heights are question counts, and Lumi analysed 1 to 24 shifts a year, so compare the split inside a column rather than heights across years.
- Idea asked for the first time
- Idea asked in an earlier year
Coverage of the topic
JEE Main has asked 22 of the 58 ideas in this topic. 26 have never been asked yet.
- Asked directly22 · 38%
- Touched inside another question10 · 17%
- Never asked26 · 45%
Ideas come from Lumi’s JEE syllabus map. A never-asked idea is not a safe skip: across all of JEE Main, 22% of questions since 2024 tested an idea no earlier year had asked.
Drill down
Idea, year, question
Every idea JEE Main tested in this topic, with its eight years. Open one to read the questions.
- 2 Apr ’26 S1 · Q44Angular momentum of an electron in a hydrogen atom is , then the energy of the electron is ______ eV.
easySingle correctAsked the year before
- 2 Apr ’25 S1 · Q43Considering Bohr's atomic model for hydrogen atom : (A) the energy of H atom in ground state is same as energy of ion in…
easyOtherAsked the year before
- 6 Apr ’24 S1 · Q60Radius of a certain orbit of hydrogen atom is 8.48 Å. If energy of electron in this orbit is , then = __________. (Given =…
easyNumerical valueAsked the year before
- 6 Apr ’23 S1 · Q34The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is
easyDiagram basedAsked the year before
- 11 Apr ’23 S2 · Q44Read the question
easySingle correctAsked the year before
- 29 Jul ’22 S1 · Q47Read the question
easySingle correctAsked the year before
- 27 Jun ’22 S1 · Q54Read the question
mediumNumerical valueAsked the year before
- 27 Jun ’22 S2 · Q48Read the question
easyTwo statementsAsked the year before
- 30 Jun ’22 S1 · Q59Read the question
mediumNumerical valueAsked the year before
- 4 Aug ’21 S1 · Q3Read the question
mediumSingle correctNew idea
- 31 Aug ’21 S2 · Q2Read the question
mediumSingle correctNew idea
- 24 Feb ’21 S2 · Q17Read the question
easySingle correctNew idea
- 2 Apr ’26 S1 · Q44
Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.
Ideas
Every idea inside this topic
22 different ideas were tested; 13 came more than once.
energy in orbit from angular momentum
Single correct · 12 shifts · 3 numericalwavelength of hydrogen transition
Single correct · 9 shifts · 4 numericalstatement i/ii on bohr model
Single correct · 9 shifts · 1 numericalratio of longest wavelengths of two spectral series
Numerical value · 8 shifts · 4 numericalratio of quantity in two orbits
Numerical value · 6 shifts · 3 numericalratio of energies of electron in bohr orbit
Single correct · 4 shifts · 1 numericalspectral lines from excitation energy
Numerical value · 5 shifts · 3 numericalrecoil speed after photon emission
Numerical value · 3 shifts · 2 numericalratio of quantity in two orbits
Numerical value · 2 shifts · 1 numericalatomic number from excitation energy
Single correct · 2 shiftswavelength from excitation potential
Numerical value · 2 shifts · 1 numericalwavelength of transition in hydrogen-like ion
Numerical value · 2 shifts · 1 numericalratio of orbital speeds in hydrogen-like ions
Single correct · 2 shiftsratio of photon momenta in balmer lines
Single correct · 1 shiftfinal level from emitted photon energy
Numerical value · 1 shift · 1 numericalassertion-reason on bohr model
Assertion–reason · 1 shiftwavelength ratio of spectral lines
Numerical value · 1 shift · 1 numericalionization energy of exotic hydrogen-like atom
Single correct · 1 shiftidentify spectral series in a given region
Single correct · 1 shiftfrequency proportionality for large n transition
Single correct · 1 shiftthreshold energy for collisional excitation
Numerical value · 1 shift · 1 numericalwavelength ratio from energy levels
Single correct · 1 shift
| Idea | Years asked | Times | Shifts | Format | Numerical |
|---|---|---|---|---|---|
| Energy Level Calculationsenergy in orbit from angular momentum | 12 | 12 | Single correctCalculation | 3 | |
| Rydberg Formula and Spectrawavelength of hydrogen transition | 10 | 9 | Single correctCalculation | 4 | |
| Angular Momentum Quantizationstatement i/ii on bohr model | 9 | 9 | Single correctMulti-step | 1 | |
| Shortest and Longest Wavelengthsratio of longest wavelengths of two spectral series | 8 | 8 | Numerical valueCalculation | 4 | |
| Bohr Orbit Radiusratio of quantity in two orbits | 6 | 6 | Numerical valueCalculation | 3 | |
| Energy Ratios in Bohr Orbitsratio of energies of electron in bohr orbit | 5 | 4 | Single correctConceptual | 1 | |
| Number of Spectral Linesspectral lines from excitation energy | 5 | 5 | Numerical valueCalculation | 3 | |
| Atom Recoil During Emissionrecoil speed after photon emission | 3 | 3 | Numerical valueMulti-step | 2 | |
| Magnetic Field and Dipole Momentratio of quantity in two orbits | 2 | 2 | Numerical valueCalculation | 1 | |
| Scaling for Hydrogenic Ionsatomic number from excitation energy | 2 | 2 | Single correctCalculation | – | |
| Excitation and Ionization Potentialswavelength from excitation potential | 2 | 2 | Numerical valueApplication | 1 | |
| Identifying Atomic Number from Spectrawavelength of transition in hydrogen-like ion | 2 | 2 | Numerical valueCalculation | 1 | |
| Electron Velocity in Orbitratio of orbital speeds in hydrogen-like ions | 2 | 2 | Single correctCalculation | – | |
| Emitted Photon Momentumratio of photon momenta in balmer lines | 1 | 1 | Single correctCalculation | – | |
| Identifying Transitions from Photon Energyfinal level from emitted photon energy | 1 | 1 | Numerical valueCalculation | 1 | |
| Limitations of Bohr's Modelassertion-reason on bohr model | 1 | 1 | Assertion–reasonConceptual | – | |
| Balmer Series Specific Lineswavelength ratio of spectral lines | 1 | 1 | Numerical valueCalculation | 1 | |
| Reduced Mass Effectionization energy of exotic hydrogen-like atom | 1 | 1 | Single correctCalculation | – | |
| Spectral Series EM Regionsidentify spectral series in a given region | 1 | 1 | Single correctRecall | – | |
| Bohr's Correspondence Principlefrequency proportionality for large n transition | 1 | 1 | Single correctMulti-step | – | |
| Collisional Excitationthreshold energy for collisional excitation | 1 | 1 | Numerical valueMulti-step | 1 | |
| Wavelengths in Cascade Transitionswavelength ratio from energy levels | 1 | 1 | Single correctCalculation | – |
Times and shifts count every analysed shift. Across JEE Main, 78% of questions since 2024 went back to an idea an earlier year had asked; the rest were new. All repeated ideas
Every question
Bohr's Atomic Model questions, year by year
The newest 40 show their opening words as they appeared in the official paper; older ones name the idea they tested. Open one for its options and the official answer.
JEE Main 20264 questions in 4 shifts
- 2 Apr, Shift 1Q44Angular momentum of an electron in a hydrogen atom is , then the energy of the electron is ______ eV.
Idea: Energy Level Calculations
Asked the year beforeEasySingle correct - 2 Apr, Shift 2Q47Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the 2nd and 4th orbits of…
Idea: Magnetic Field and Dipole Moment
MediumNumerical value - 5 Apr, Shift 1Q36In the hydrogen atom, the electron makes a transition from the higher orbit () to a lower orbit (). The ratio of the radius of the…
Idea: Rydberg Formula and Spectra
EasySingle correct - 6 Apr, Shift 1Q44The ratio of momentum of the photons of the and line of Balmer series of Hydrogen atoms is…
Idea: Emitted Photon Momentum
New ideaMediumSingle correct
JEE Main 20257 questions in 5 shifts
- 2 Apr, Shift 1Q43Considering Bohr's atomic model for hydrogen atom : (A) the energy of H atom in ground state is same as energy of ion in…
Idea: Energy Level Calculations
Asked the year beforeEasyOther - 2 Apr, Shift 2Q40Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of ion in its ground state is given by…
Idea: Bohr Orbit Radius
Asked the year beforeEasySingle correct - 3 Apr, Shift 2Q44Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The Bohr model is…
Idea: Limitations of Bohr's Model
New ideaEasyAssertion–reason - 3 Apr, Shift 2Q50An electron in the hydrogen atom initially in the fourth excited state makes a transition to energy state by emitting a…
Idea: Identifying Transitions from Photon Energy
New ideaEasyNumerical value - 4 Apr, Shift 2Q41Given below are two statements : Statement (I) : The dimensions of Planck's constant and angular momentum are same. Statement (II) : In…
Idea: Angular Momentum Quantization
Asked the year beforeEasyTwo statements - 7 Apr, Shift 1Q43For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is
Idea: Shortest and Longest Wavelengths
Asked the year beforeEasySingle correct - 7 Apr, Shift 1Q44In a hydrogen like ion, the energy difference between the excitation energy state and ground is 108.8 eV. The atomic…
Idea: Scaling for Hydrogenic Ions
EasySingle correct
JEE Main 202417 questions in 13 shifts
- 4 Apr, Shift 1Q60A 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…
Idea: Atom Recoil During Emission
HardNumerical value - 4 Apr, Shift 2Q48According to Bohr's theory, the moment of momentum of an electron revolving in 4 orbit of hydrogen atom is:
Idea: Angular Momentum Quantization
Asked the year beforeEasySingle correct - 5 Apr, Shift 1Q48An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its…
Idea: Energy Ratios in Bohr Orbits
EasySingle correct - 5 Apr, Shift 2Q48The angular momentum of an electron in a hydrogen atom is proportional to : (Where r is the radius of orbit of electron)
Idea: Angular Momentum Quantization
Asked the year beforeEasySingle correct - 5 Apr, Shift 2Q60The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is 915 . The longest wavelength of…
Idea: Shortest and Longest Wavelengths
Asked the year beforeMediumNumerical value - 6 Apr, Shift 1Q48The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is :
Idea: Shortest and Longest Wavelengths
Asked the year beforeEasySingle correct - 6 Apr, Shift 1Q60Radius of a certain orbit of hydrogen atom is 8.48 Å. If energy of electron in this orbit is , then = __________. (Given =…
Idea: Energy Level Calculations
Asked the year beforeEasyNumerical value - 6 Apr, Shift 2Q48The longest wavelength associated with Paschen series is : (Given SI unit)
Idea: Shortest and Longest Wavelengths
Asked the year beforeEasySingle correct - 6 Apr, Shift 2Q55In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at 10.2 V. The wavelength of light emitted…
Idea: Excitation and Ionization Potentials
New ideaEasyNumerical value - 9 Apr, Shift 2Q35A hydrogen atom in ground state is given an energy of eV. How many spectral lines will be emitted due to transition of electrons ?
Idea: Number of Spectral Lines
Asked the year beforeEasySingle correct - 1 Feb, Shift 1Q47The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly :
Idea: Excitation and Ionization Potentials
New ideaMediumSingle correct - 1 Feb, Shift 2Q60A particular hydrogen - like ion emits the radiation of frequency Hz when it makes transition from n = 2 to n = 1. The…
Idea: Identifying Atomic Number from Spectra
MediumNumerical value - 27 Jan, Shift 1Q47The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be :
Idea: Bohr Orbit Radius
Asked the year beforeEasySingle correct - 29 Jan, Shift 1Q60When a hydrogen atom going from =2 to =1 emits a photon, its recoil speed is . Where = ______. (Use, mass of…
Idea: Atom Recoil During Emission
MediumNumerical value - 30 Jan, Shift 1Q47The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the excited state of a…
Idea: Energy Ratios in Bohr Orbits
EasySingle correct - 30 Jan, Shift 1Q60A electron of hydrogen atom on an excited state is having energy eV. The maximum number of allowed transitions to lower…
Idea: Number of Spectral Lines
Asked the year beforeEasyNumerical value - 31 Jan, Shift 1Q47If the wavelength of the first member of Lyman series of hydrogen is . The wavelength of the second member will be
Idea: Rydberg Formula and Spectra
Asked the year beforeEasySingle correct
JEE Main 202312 questions in 10 shifts
- 6 Apr, Shift 1Q34The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is
Idea: Energy Level Calculations
Asked the year beforeEasyDiagram based · figure - 6 Apr, Shift 1Q53The radius of fifth orbit of the is ____________ m. Take: radius of hydrogen atom = 0.51 Å
Idea: Bohr Orbit Radius
Asked the year beforeEasyNumerical value - 6 Apr, Shift 2Q43A small particle of mass moves in such a way that its potential energy where is constant and …
Idea: Angular Momentum Quantization
Asked the year beforeMediumSingle correct - 6 Apr, Shift 2Q56Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital…
Idea: Bohr Orbit Radius
Asked the year beforeMediumNumerical value - 8 Apr, Shift 2Q56The ratio of wavelength of spectral lines and in the Balmer series is . The value of…
Idea: Balmer Series Specific Lines
New ideaEasyNumerical value - 10 Apr, Shift 1Q44The angular momentum for the electron in Bohr's orbit is . If the electron is assumed to revolve in second orbit of hydrogen atom, then…
Idea: Angular Momentum Quantization
Asked the year beforeEasySingle correct - 10 Apr, Shift 2Q56If 917 be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be ____________…
Idea: Shortest and Longest Wavelengths
EasyNumerical value - 11 Apr, Shift 1Q51A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit…
Idea: Number of Spectral Lines
MediumNumerical value - 11 Apr, Shift 2Q44The energy of ion in its first excited state is, (The ground state energy for the Hydrogen atom is ):
Idea: Energy Level Calculations
Asked the year beforeEasySingle correct - 12 Apr, Shift 1Q48A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
Idea: Number of Spectral Lines
MediumSingle correct - 13 Apr, Shift 1Q51The radius of orbit of of Bohr's model is and that of fourth orbit of is…
Idea: Bohr Orbit Radius
Asked the year beforeEasyNumerical value - 15 Apr, Shift 1Q56As 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…
Idea: Rydberg Formula and Spectra
Asked the year beforeMediumNumerical value · figure
JEE Main 202213 questions in 10 shifts
- 25 Jul, Shift 1 · Q48Angular Momentum QuantizationAsked the year beforeEasy
- 25 Jul, Shift 2 · Q50Rydberg Formula and SpectraAsked the year beforeMedium
- 25 Jul, Shift 2 · Q54Rydberg Formula and SpectraAsked the year beforeEasy
- 26 Jul, Shift 1 · Q59Rydberg Formula and SpectraAsked the year beforeMedium
- 29 Jul, Shift 1 · Q47Energy Level CalculationsAsked the year beforeEasy
- 30 Jul, Shift 2 · Q17Bohr Orbit RadiusNew ideaEasy
- 24 Jun, Shift 2 · Q50Energy Ratios in Bohr OrbitsAsked the year beforeEasy
- 25 Jun, Shift 1 · Q46Electron Velocity in OrbitAsked the year beforeEasy
- 27 Jun, Shift 1 · Q48Angular Momentum QuantizationAsked the year beforeEasy
- 27 Jun, Shift 1 · Q54Energy Level CalculationsAsked the year beforeMedium
- 27 Jun, Shift 2 · Q48Energy Level CalculationsAsked the year beforeEasy
- 30 Jun, Shift 1 · Q50Angular Momentum QuantizationAsked the year beforeMedium
- 30 Jun, Shift 1 · Q59Energy Level CalculationsAsked the year beforeMedium
JEE Main 202118 questions in 14 shifts
- 3 Aug, Shift 2 · Q23Shortest and Longest WavelengthsAsked the year beforeMedium
- 4 Aug, Shift 1 · Q3Energy Level CalculationsNew ideaMedium
- 4 Aug, Shift 1 · Q5Magnetic Field and Dipole MomentNew ideaHard
- 4 Aug, Shift 2 · Q2Energy Ratios in Bohr OrbitsNew ideaMedium
- 4 Aug, Shift 2 · Q30Energy Ratios in Bohr OrbitsNew ideaMedium
- 26 Aug, Shift 1 · Q5Rydberg Formula and SpectraAsked the year beforeEasy
- 27 Aug, Shift 2 · Q29Number of Spectral LinesNew ideaEasy
- 31 Aug, Shift 2 · Q2Energy Level CalculationsNew ideaMedium
- 24 Feb, Shift 1 · Q17Shortest and Longest WavelengthsAsked the year beforeMedium
- 24 Feb, Shift 2 · Q17Energy Level CalculationsNew ideaEasy
- 25 Feb, Shift 2 · Q16Rydberg Formula and SpectraAsked the year beforeEasy
- 26 Feb, Shift 1 · Q19Rydberg Formula and SpectraAsked the year beforeMedium
- 26 Feb, Shift 2 · Q14Atom Recoil During EmissionNew ideaMedium
- 17 Mar, Shift 1 · Q14Scaling for Hydrogenic IonsNew ideaEasy
- 17 Mar, Shift 1 · Q20Electron Velocity in OrbitNew ideaEasy
- 17 Mar, Shift 2 · Q13Spectral Series EM RegionsNew ideaEasy
- 17 Mar, Shift 2 · Q29Angular Momentum QuantizationNew ideaMedium
- 18 Mar, Shift 1 · Q10Reduced Mass EffectNew ideaMedium
JEE Main 20205 questions in 5 shifts
- 8 Jan, Shift 2 · Q25Rydberg Formula and SpectraNew ideaEasy
- 9 Jan, Shift 2 · Q19Identifying Atomic Number from SpectraNew ideaMedium
- 2 Sep, Shift 2 · Q18Bohr's Correspondence PrincipleNew ideaMedium
- 4 Sep, Shift 1 · Q25Shortest and Longest WavelengthsNew ideaMedium
- 5 Sep, Shift 1 · Q21Collisional ExcitationNew ideaHard
JEE Main 20171 question in 1 shift
Questions from the official JEE Main Paper 1 shifts published by NTA (CBSE for 2017). Questions NTA dropped are left out. Topic and idea tags, counts and notes are Lumi’s.
More topics in Atoms
This is the only topic tagged in this chapter.