JEE Physics

Bohr's Model & Hydrogen Spectrum: JEE Questions & Solutions

45 previous-year JEE Physics questions on Bohr's Model & Hydrogen Spectrum, each with a worked step-by-step solution.

Intermediate

Previous-year questions

  1. 01The 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…MCQEasyJEE 2026
  2. 02The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly nm.MCQMediumJEE 2026
  3. 03In hydrogen atom spectrum, (R → Rydberg's constant) A. the maximum wavelength of the radiation of Lyman series is 4/3R B. the Balmer series…MCQMediumJEE 2026
  4. 04Two 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…MCQEasyJEE 2026
  5. 05An electron in the ground state of the hydrogen atom has the orbital radius of 5.3 × 10⁻¹¹ m while that for the electron in the third…MCQMediumJEE 2025
  6. 06An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr’s quantization is applicable, then the radius…MCQMediumJEE 2025
  7. 07During the transition of an electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å, and it becomes…MCQEasyJEE 2025
  8. 08The frequency of revolution of the electron in Bohr’s orbit varies with n, the principal quantum number as:MCQEasyJEE 2025
  9. 09The number of spectral lines emitted by atomic hydrogen that is in the 4th energy level is:MCQEasyJEE 2025
  10. 10Considering 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…MCQMediumJEE 2025
  11. 11Assuming the validity of Bohr's atomic model for hydrogen like ions, the radius of Li²⁺ ion in its ground state is given by 1/Xa₀, where X…MCQEasyJEE 2025
  12. 12Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The Bohr model is…MCQEasyJEE 2025
  13. 13An electron in the hydrogen atom initially in the fourth excited state makes a transition to n^th energy state by emitting a photon of…NVAEasyJEE 2025
  14. 14Considering the Bohr model of hydrogen like atoms, the ratio of the radius 5^th orbit of the electron in Li²⁺ and He⁺ isMCQEasyJEE 2025
  15. 15Given below are two statements: Statement (I): The dimensions of Planck’s constant and angular momentum are same. Statement (II): In Bohr’s…MCQEasyJEE 2025
  16. 16In 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…MCQEasyJEE 2025
  17. 17For a hydrogen atom, the ratio of the largest wavelength of the Lyman series to that of the Balmer series is:MCQEasyJEE 2025
  18. 18If Rydberg’s constant is R, the longest wavelength of radiation in Paschen series will be α/7R, where α =:NVAEasyJEE 2024
  19. 19When a hydrogen atom going from n = 2 to n = 1 emits a photon, its recoil speed is x/5 m/s. Where x =. (Use: mass of hydrogen atom = 1.6 ×…NVAMediumJEE 2024
  20. 20Hydrogen atom is bombarded with electrons accelerated through a potential difference V, which causes excitation of hydrogen atoms. If the…MCQMediumJEE 2024
  21. 21The ratio of the magnitude of the kinetic energy (KE) to the potential energy (PE) of an electron in the 5th excited state of a hydrogen…MCQEasyJEE 2024
  22. 22An electron in a hydrogen atom has energy Eₙ = -0.85 eV in an excited state. The maximum number of allowed transitions to lower energy…NVAEasyJEE 2024
  23. 23An electron revolving in the nth Bohr orbit has a magnetic moment μ. If μₙ is the value of μ, the value of x is:NVAMediumJEE 2024
  24. 24If the wavelength of the first member of the Lyman series of hydrogen is λ, the wavelength of the second member will be:MCQEasyJEE 2024
  25. 25A hydrogen atom in ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to the transition of electrons?MCQEasyJEE 2024
  26. 26A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h…MCQEasyJEE 2023
  27. 27The wavelength of the radiation emitted is λ₀ when an electron jumps from the second excited state to the first excited state of the…NVAEasyJEE 2023
  28. 28The 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…MCQEasyJEE 2023
  29. 29Speed of an electron in Bohr's 7^th orbit for Hydrogen atom is 3.6 × 10⁶ m/s. The corresponding speed of the electron in the 3^rd orbit, in…MCQEasyJEE 2023
  30. 30For hydrogen atom, λ₁ and λ₂ are the wavelengths corresponding to the transitions 1 and 2, respectively, as shown in the figure. The ratio…NVAEasyJEE 2023
  31. 31The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the 3rd orbit will be:MCQEasyJEE 2023
  32. 32If the binding energy of the ground state electron in a hydrogen atom is 13.6 eV, then the energy required to remove the electron from the…NVAEasyJEE 2023
  33. 33A 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…NVAEasyJEE 2023
  34. 34An 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,…MCQEasyJEE 2023
  35. 35The energy levels of a hydrogen atom, and four transitions between them, are shown below. | Transition | From | To | | --- | --- | --- | |…MCQEasyJEE 2023
  36. 36The radius of the fifth orbit of Li⁺⁺ is × 10⁻¹² m. Take the radius of hydrogen atom = 0.51 Å.NVAEasyJEE 2023
  37. 37Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius…NVAMediumJEE 2023
  38. 38The angular momentum of an electron in Bohr's orbit is L. If the electron is assumed to revolve in the second orbit of a hydrogen atom, the…MCQEasyJEE 2023
  39. 39If 917 Å be the lowest wavelength of Lyman series, then the lowest wavelength of Balmer series will be Å.NVAEasyJEE 2023
  40. 40A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit…MCQMediumJEE 2023
  41. 41The energy of He⁺ ion in its first excited state is, (The ground state energy for the Hydrogen atom is -13.6 eV):MCQEasyJEE 2023
  42. 42A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:MCQMediumJEE 2023
  43. 43The radius of the 2^nd orbit of He⁺ of Bohr's model is r₁ and that of the fourth orbit of Be³⁺ is represented as r₂. Now the ratio r₂/r₁ is…NVAEasyJEE 2023
  44. 44An 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…NVAMediumJEE 2023
  45. 45As per the given figure, A, B and C are the first, second and third excited energy levels of the hydrogen atom respectively. If the ratio…NVAEasyJEE 2023

Frequently asked questions

Our bank has 45 previous-year JEE Physics questions tagged to Bohr's Model & Hydrogen Spectrum, drawn from JEE papers between 2023 and 2026, including 4 from 2026 alone. Each comes with a full step-by-step solution.

Bohr's Model & Hydrogen Spectrum is rated Intermediate overall for JEE Physics. The PYQs on this page break down as 33 easy, 12 medium.

Of the 45 previous-year questions on Bohr's Model & Hydrogen Spectrum, 30 are multiple-choice (MCQ) and 15 are numerical-value (NVA) questions.

Based on recent paper analysis, Bohr's Model & Hydrogen Spectrum is worth about 3 marks in JEE Main. It sits in Atoms & Nuclei, a Class 12 Physics chapter.

More Atoms & Nuclei topics

Atomic Mass & Binding Energy18Radioactive Decay & Half-Life14Nuclear Fission & Fusion9Rutherford's Model of Atom3

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