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Hydrogen Spectrum and Transitions for JEE: 74 solved questions

Real JEE paper questions on hydrogen spectrum and transitions, part of atoms. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2005 to 2026. No sign-in needed to read them.

What this topic asks

• Spectral series and wavelengths — 55 questions
• Links to recoil, photoelectric effect and X-rays — 11 questions
• Number of spectral lines — 8 questions

All 74 questions with solutions

• In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The rat… JEE Main 5th April 1st Shift 2026
• The ratio of momentum of the photons of the 1st and 2nd line of Balmer series of hydrogen atoms is α/β. The p… JEE Main 6th April 1st Shift 2026
• The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen a… JEE Main 22nd Jan 2nd Shift 2026
• In hydrogen atom spectrum, (R→ Rydberg's constant) (A) the maximum wavelength of the radiation of Lyman serie… JEE Main 23rd Jan 1st Shift 2026
• For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is JEE Main 7th April 1st Shift 2025
• During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation… JEE Main 24th Jan 1st Shift 2025
• The number of spectral lines emitted by atomic hydrogen that is in the 4^th energy level, is JEE Main 29th Jan 2nd Shift 2025
• The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen… JEE Main 6th April 1st Shift 2024
• The longest wavelength associated with Paschen series is (Given R_H=1.097×10⁷ SI unit) JEE Main 6th April 2nd Shift 2024
• A hydrogen atom in ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to… JEE Main 9th April 2nd Shift 2024
• The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly JEE Main 1st Feb 1st Shift 2024
• If the wavelength of the first member of Lyman series of hydrogen is λ. The wavelength of the second member w… JEE Main 31st Jan 1st Shift 2024
• The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest w… JEE Main 6th April 1st Shift 2023
• A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines… JEE Main 12th April 2nd Shift 2023
• An electron of a hydrogen like atom, having Z=4, jumps from 4^th energy state to 2^nd energy state. The energ… JEE Main 1st Feb 2nd Shift 2023
• A photon is emitted in transition from n=4 to n=1 level in hydrogen atom. The corresponding wavelength for th… JEE Main 24th Jan 2nd Shift 2023
• The energy levels of an atom is shown in figure. Which one of these transitions will result in the emission o… JEE Main 25th Jan 2nd Shift 2023
• Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength λ. The value of… JEE Main 25th July 2nd Shift 2022
• Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i)… JEE Main 29th July 1st Shift 2022
• A particular hydrogen like ion emits radiation of frequency 2.92×10¹⁵ Hz when it makes transition from n=3 to… JEE Main 26th Aug 1st Shift 2021
• A free electron of 2.6 eV energy collides with a H⁺ ion. This results in the formation of a hydrogen atom in… JEE Main 31st Aug 2nd Shift 2021
• The radiation corresponding to 3→2 transition of a hydrogen atom falls on a gold surface to generate photoele… JEE Main 20th July 1st Shift 2021
• An electron and proton are separated by a large distance. The electron starts approaching the proton with ene… JEE Main 27th July 2nd Shift 2021
• The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spect… JEE Main 17th March 2nd Shift 2021
• In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A,… JEE Main 24th Feb 1st Shift 2021
• According to Bohr atom model, in which of the following transitions will the frequency be maximum? JEE Main 24th Feb 2nd Shift 2021
• The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n=2 to n=1 s… JEE Main 25th Feb 2nd Shift 2021
• If λ₁ and λ₂ are the wavelengths of the third member of Lyman and first member of the Paschen series respecti… JEE Main 26th Feb 1st Shift 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 JEE Main 26th Feb 2nd Shift 2021
• In a hydrogen atom the electron makes a transition from (n+1)^th level to the n^th level. If n1, the frequenc… JEE Main 2nd Sept 2nd Shift 2020
• The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength o… JEE Main 9th Jan 2nd Shift 2020
• Radiation coming from transitions n=2 to n=1 of hydrogen atoms fall on He⁺ ions in n=1 and n=2 states. The po… JEE Main 8th April 1st Shift 2019
• Taking the wavelength of first Balmer line in hydrogen spectrum (n=3 to n=2) as 660 nm, the wavelength of the… JEE Main 9th April 1st Shift 2019
• In Li⁺⁺, electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets… JEE Main 10th April 2nd Shift 2019
• An excited He⁺ ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a transi… JEE Main 12th April 1st Shift 2019
• The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subs… JEE Main 12th April 2nd Shift 2019
• A hydrogen atom, initially in the ground state, is excited by absorbing a photon of wavelength 980 A. The rad… JEE Main 11th Jan 1st Shift 2019
• In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted ra… JEE Main 11th Jan 2nd Shift 2019
• An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let λₙ,… JEE Main 2018
• If the series limit frequency of the Lyman series is u_L, then the series limit frequency of the Pfund series… JEE Main 2018
• Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r=(λ₁)/(λ₂) is given by JEE Main 2017
• A hydrogen atom makes a transition from n=2 to n=1 and emits a photon. This photon strikes a doubly ionized l… JEE Main Online 2016
• The radiation corresponding to 3→2 transition of hydrogen atom falls on a metal surface to produce photoelect… JEE Main 2014
• Hydrogen (₁H¹), Deuterium (₁H²), singly ionised Helium (₂He⁴)⁺ and doubly ionised lithium (₃Li⁶)⁺⁺ all have o… JEE Main 2014
• In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with… JEE Main 2013
• Hydrogen atom is excited from ground state to another state with principal quantum number equal to 4. Then th… JEE Main 2012
• A doubly ionised Li atom is excited from its ground state (n=1) to n=3 state. The wavelengths of the spectral… JEE Main Online 2012
• The transition from the state n=4 to n=3 in a hydrogen like atom results in ultraviolet radiation. Infrared r… JEE Main 2009
• Which of the following transitions in hydrogen atoms emit photons of highest frequency? JEE Main 2007
• The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the… JEE Main 2005
• An electron in the hydrogen atom initially in the fourth excited state makes a transition to n^th energy stat… JEE Main 3rd April 2nd Shift 2025
• A hydrogen atom changes its state from n=3 to n=2. Due to recoil, the percentage change in the wavelength of… JEE Main 4th April 1st Shift 2024
• The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is 915 A. The longest… JEE Main 5th April 2nd Shift 2024
• A particular hydrogen-like ion emits the radiation of frequency 3×10¹⁵ Hz when it makes transition from n=2 t… JEE Main 1st Feb 2nd Shift 2024
• If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will be α/(7R), where α= . JEE Main 27th Jan 2nd Shift 2024
• When a hydrogen atom going from n=2 to n=1 emits a photon, its recoil speed is /x5 m/s. Where x= . (Use mass… JEE Main 29th Jan 1st Shift 2024
• Hydrogen atom is bombarded with electrons accelerated through a potential difference of V, which causes excit… JEE Main 29th Jan 2nd Shift 2024
• A electron of hydrogen atom on an excited state is having energy Eₙ=-0.85 eV. The maximum number of allowed t… JEE Main 30th Jan 1st Shift 2024
• 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 8th April 2nd Shift 2023
• If 917 A be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be A. JEE Main 10th April 2nd Shift 2023
• A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of l… JEE Main 11th April 1st Shift 2023
• An atom absorbs a photon of wavelength 500 nm and emits another photon of wavelength 600 nm. The net energy a… JEE Main 13th April 2nd Shift 2023
• As per given figure A, B and C are the first, second and third excited energy levels of hydrogen atom respect… JEE Main 15th April 1st Shift 2023
• The wavelength of the radiation emitted is λ₀ when an electron jumps from the second excited state to the fir… JEE Main 25th Jan 1st Shift 2023
• For hydrogen atom, λ₁ and λ₂ are the wavelengths corresponding to the transitions 1 and 2 respectively as sho… JEE Main 31st Jan 1st Shift 2023
• x/(x+4) is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from i… JEE Main 25th July 2nd Shift 2022
• In a hydrogen spectrum, λ be the wavelength of first transition line of Lyman series. The wavelength differen… JEE Main 26th July 1st Shift 2022
• A beam of monochromatic light is used to excite the electron in Li⁺⁺ from the first orbit to the third orbit.… JEE Main 27th June 1st Shift 2022
• X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to sta… JEE Main 27th Aug 2nd Shift 2021
• The K_α X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atom with a K electron kno… JEE Main 27th July 2nd Shift 2021
• The first three spectral lines of H-atom in the Balmer series are given λ₁, λ₂, λ₃ considering the Bohr atomi… JEE Main 16th March 1st Shift 2021
• In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyma… JEE Main 4th Sept 1st Shift 2020
• A particle of mass 200 MeV/c² collides with a hydrogen atom at rest. Soon after the collision the particle co… JEE Main 5th Sept 1st Shift 2020
• The first member of the Balmer series of hydrogen atom has a wavelength of 6561 A. The wavelength of the seco… JEE Main 8th Jan 2nd Shift 2020