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Bohr Model of the Hydrogen Atom for JEE: 60 solved questions

Real JEE paper questions on bohr model of the hydrogen atom, part of atoms. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

• Postulates, radius, speed and angular momentum — 30 questions
• Energy levels and ionisation — 20 questions
• Bohr's rules in other systems — 10 questions

All 60 questions with solutions

• Angular momentum of an electron in a hydrogen atom is (3h)/π, then the energy of the electron is eV. JEE Main 2nd April 1st Shift 2026
• The energy of an electron in an orbit of the Bohr's atom is -0.04E₀ eV, where E₀ is the ground state energy.… JEE Main 21st Jan 2nd Shift 2026
• Two electrons are moving in orbits of two hydrogen like atoms with speeds 3×10⁵ m/s and 2.5×10⁵ m/s respectiv… JEE Main 24th Jan 1st Shift 2026
• Considering Bohr's atomic model for hydrogen atom: (A) the energy of H atom in ground state is same as energy… JEE Main 2nd April 1st Shift 2025
• Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li⁺⁺ ion in its ground stat… JEE Main 2nd April 2nd Shift 2025
• Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Ass… JEE Main 3rd April 2nd Shift 2025
• Considering the Bohr model of hydrogen like atoms, the ratio of the radius of 5^th orbit of the electron in L… JEE Main 4th April 1st Shift 2025
• Given below are two statements Statement (I): The dimensions of Planck's constant and angular momentum are sa… JEE Main 4th April 2nd Shift 2025
• In a hydrogen like ion, the energy difference between the 2^nd excitation energy state and ground is 108.8 eV… JEE Main 7th April 1st Shift 2025
• An electron in the ground state of the hydrogen atom has the orbital radius of 5.3×10⁻¹¹ m while that for the… JEE Main 22nd Jan 1st Shift 2025
• An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization i… JEE Main 22nd Jan 2nd Shift 2025
• The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as JEE Main 28th Jan 2nd Shift 2025
• According to Bohr's theory, the moment of momentum of an electron revolving in 4^th orbit of hydrogen atom is JEE Main 4th April 2nd Shift 2024
• An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total en… JEE Main 5th April 1st Shift 2024
• The angular momentum of an electron in a hydrogen atom is proportional to (where r is the radius of the orbit… JEE Main 5th April 2nd Shift 2024
• The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit… JEE Main 27th Jan 1st Shift 2024
• The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5^th excited s… JEE Main 30th Jan 1st Shift 2024
• An electron revolving in n^th Bohr orbit has magnetic moment μₙ. If μₙ∝ n^x, the value of x is JEE Main 30th Jan 2nd Shift 2024
• A small particle of mass m moves in such a way that its potential energy U=1/2mω²r², where ω is constant and… JEE Main 6th April 2nd Shift 2023
• The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second o… JEE Main 10th April 1st Shift 2023
• The energy of He⁺ ion in its first excited state is, (The ground state energy for the Hydrogen atom is -13.6… JEE Main 11th April 2nd Shift 2023
• Speed of an electron in Bohr's 7^th orbit for Hydrogen atom is 3.6×10⁶ m/s. The corresponding speed of the el… JEE Main 30th Jan 1st Shift 2023
• The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3^rd orbit will be JEE Main 31st Jan 2nd Shift 2023
• The momentum of an electron revolving in n^th orbit is given by (Symbols have their usual meanings) JEE Main 25th July 1st Shift 2022
• The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum… JEE Main 25th July 1st Shift 2022
• In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy… JEE Main 24th June 2nd Shift 2022
• 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 orb… JEE Main 25th June 1st Shift 2022
• A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrog… JEE Main 27th June 1st Shift 2022
• Given below are two statements: Statement I: In hydrogen atom, the frequency of radiation emitted when an ele… JEE Main 27th June 2nd Shift 2022
• Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom? JEE Main 17th March 1st Shift 2021
• If an electron is moving in the n^th orbit of the hydrogen atom then its velocity (vₙ) for the n^th orbit is… JEE Main 17th March 1st Shift 2021
• Imagine that the electron in a hydrogen atom is replaced by a muon (μ). The mass of muon particle is 207 time… JEE Main 18th March 1st Shift 2021
• The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6×10⁻¹⁶ s. The fr… JEE Main 7th Jan 1st Shift 2020
• A He⁺ ion is in its first excited state. Its ionization energy is JEE Main 9th April 2nd Shift 2019
• Consider an electron in a hydrogen atom, revolving in its second excited state (having radius 4.65 A). The de… JEE Main 12th April 2nd Shift 2019
• A particle of mass m moves in a circular orbit in a central potential field U(r)=1/2kr². If Bohr's quantizati… JEE Main 12th Jan 1st Shift 2019
• The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required… JEE Main 2017
• Muon (μ⁻) is a negatively charged (|q|=|e|) particle with a mass m_μ=200mₑ, where mₑ is the mass of the elect… JEE Main Online 2018
• According to Bohr's theory, the time averaged magnetic field at the centre (i.e. nucleus) of a hydrogen atom… JEE Main Online 2017
• The acceleration of an electron in the first orbit of hydrogen atom (n=1) is JEE Main Online 2017
• As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion JEE Main 2015
• If one were to apply Bohr model to a particle of mass m and charge q moving in a plane under the influence of… JEE Main Online 2015
• If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electr… JEE Main Online 2014 (also JEE Main 2003)
• In the Bohr's model of hydrogen-like atom, the force between the nucleus and the electron is modified as F=(e… JEE Main Online 2013
• A diatomic molecule is made of two masses m₁ and m₂ which are separated by a distance r. If we calculate its… JEE Main 2012
• Ionisation energy of Li (Lithium) atom in ground state is 5.4 eV. Binding energy of an electron in Li⁺ ion in… JEE Main Online 2012
• Which of the plots shown in the figure represents speed (v) of the electron in a hydrogen atom as a function… JEE Main Online 2012
• Energy required for the electron excitation in Li⁺⁺ from the first to the third Bohr orbit is JEE Main 2011
• Suppose an electron is attracted towards the origin by a force k/r where k is a constant and r is the distanc… JEE Main 2008
• Which of the following atoms has the lowest ionization potential? JEE Main 2003
• If 13.6 eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron fro… JEE Main 2002
• Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons i… JEE Main 2nd April 2nd Shift 2026
• Radius of a certain orbit of hydrogen atom is 8.48 A. If energy of electron in this orbit is E/x, then x= . (… JEE Main 6th April 1st Shift 2024
• The radius of fifth orbit of the Li⁺⁺ is ×10⁻¹² m. (Take, radius of hydrogen atom =0.51 A) JEE Main 6th April 1st Shift 2023
• Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an e… JEE Main 6th April 2nd Shift 2023
• The radius of 2^nd orbit of He⁺ of Bohr's model is r₁ and that of fourth orbit of Be³⁺ is represented as r₂.… JEE Main 13th April 1st Shift 2023
• A light of energy 12.75 eV incident on a hydrogen atom in its ground state. The atom absorbs the radiation an… JEE Main 1st Feb 1st Shift 2023
• In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 A. If the speed… JEE Main 27th July 1st Shift 2021
• A particle of mass m moves in a circular orbit in a central potential field U(r)=U₀r⁴. If Bohr's quantization… JEE Main 17th March 2nd Shift 2021
• If the binding energy of ground state electron in a hydrogen atom is 13.6 eV, then, the energy required to re… JEE Main 31st Jan 2nd Shift 2023