JEE Advanced Atoms, Nuclei and Dual Nature of Radiation questions with solutions
Bohr model, hydrogen spectrum, photoelectric effect, matter waves, X-rays, radioactivity and nuclear binding energy. 38 questions from our 2016–2025 JEE Advanced pattern papers, from the Class 12 Physics syllabus. Each has the answer and a full solution.
Also practise: Atoms, Nuclei and Dual Nature of Radiation for JEE Main
JEE Advanced 2025
- Monochromatic light of wavelength 300 nm falls on a metal surface of work function 2.0 eV. The fastest photoelectrons enter a region of uniform…
- A Li^2+ ion (hydrogen-like, Z=3) in the n=3 level makes a transition to n=2 and emits a photon. This photon is absorbed by a hydrogen atom in its…
- The electron of a Li^2+ ion undergoes a transition from n=3 to n=2 and the emitted photon falls on a metal surface of work function 4.5 eV. The…
JEE Advanced 2024
- A radioactive nuclide A of half-life 3 h decays to a radioactive nuclide B of half-life 6 h, which decays to a stable nuclide C. At t=0 a sample…
- Consider the Li^2+ ion (Z=3) in the Bohr model, with its single electron in the stated state. Here a0 is the Bohr radius and the ground-state energy…
- Hydrogen-like Li^2+ ions de-excite from the n=3 level to the n=2 level and the emitted photons fall on a metal plate of work function 5.0 eV. The…
- Two radioactive samples A and B contain initially NA and NB nuclei with NA/NB=4. The half-life of A is 1 h and that of B is 2 h. The two samples have…
JEE Advanced 2023
- A sample of He^+ ions, all in the ground state, is bombarded with electrons of kinetic energy 51.5 eV. Assume that an electron can transfer any part…
- Zinc (Z=30) is used as the target of an X-ray tube. Its Kα photon energy may be taken as E=10.2 (Z-1)^2 eV. These photons fall on a thin metal foil…
- Paragraph 1: X-rays of wavelength 5.00 pm are scattered by free electrons initially at rest (Compton scattering). The scattered photons are observed…
JEE Advanced 2022
- A Li^2+ ion in the n=3 state emits a photon on dropping to n=2. This photon falls on a metal of work function 4.0 eV. Take the hydrogen ground-state…
- Light of wavelength 300 nm falls on a metal of work function 2.0 eV. Use hc=1240 eV nm.
- A hydrogen-like ion is in the excited state given in List-I. Match each with the energy needed to remove its electron completely from that state, in…
- A photon of wavelength equal to the Compton wavelength λC=h/(mec) of the electron is scattered by a free electron initially at rest, through an angle…
- A projectile nucleus P (α-particle, mass number 4, total binding energy 28.0 MeV) strikes a stationary target nucleus T (mass number 12, total…
JEE Advanced 2021
- A sample of atomic hydrogen has all its atoms in the n=5 state and de-excites by emitting every possible spectral line. The light falls on a metal of…
- A sample of hydrogen-like Li^2+ ions (Z=3) is excited so that every ion is in the n=3 state, and the emitted radiation is incident on a metal of work…
JEE Advanced 2020
- A photon emitted when a He^+ ion de-excites from n=4 to n=2 falls on a metal surface of work function 4.0 eV. Take En=-13.6 Z^2/n^2 eV…
- A radioactive nuclide X of half-life 2 h decays to a nuclide Y of half-life 6 h, which decays to a stable nuclide. At t=0 only X is present. The…
- A beam of electrons, each of kinetic energy 12.5 eV, is passed through a sample of hydrogen atoms in the ground state. The atoms that get excited…
JEE Advanced 2019
- A photon emitted in the n=3→ n=2 transition of a hydrogen-like Li^2+ ion falls on a metal surface of work function 4.0 eV. Use En=-13.6 Z^2/n^2 eV…
- A radioactive nucleus A of half-life 1.0 hour decays to a radioactive nucleus B of half-life 4.0 hours, which decays to a stable nucleus. At t=0 only…
- The photon emitted when a He^+ ion makes the transition n=4→ n=2 (Bohr model, En=-54.4/n^2 eV) falls on a metal surface of work function 4.2 eV. Use…
JEE Advanced 2018
- A hydrogen-like ion Li^2+ (Z=3) in its second excited state makes a transition to the first excited state. The emitted photon falls on a metal plate…
- Paragraph 2: In a photoelectric experiment on a metal surface, light of wavelength 400 nm gives a stopping potential of 1.10 V, while light of…
- Monochromatic light of wavelength 310 nm is incident on a metal surface of work function 2.5 eV. Use hc=1240 eV nm and the de Broglie relation λdB…
- A Li^2+ ion of mass 7.0 u, initially at rest with its electron in the n=3 level, makes a transition directly to the n=1 level by emitting a single…
JEE Advanced 2017
- A sample of Li^2+ ions all in the n=3 state de-excite to the ground state through all possible transitions. The emitted radiation falls on a metal…
- A Li^2+ ion is excited to n=3 and then makes a transition to n=2. The emitted photon falls on a metal of work function 5.0 eV. Take the hydrogen…
- X-rays are produced by electrons accelerated through 24.8 kV onto a metal target. Use hc=12400 eV AA and Moseley's law √(nu)propto(Z-1) for the Kα…
JEE Advanced 2016
- Photons emitted when He^+ ions make the transition from the n=3 to the n=1 level fall on a metal plate of work function 4.0 eV. The fastest…
- A radioactive nuclide X of half-life 8 days decays into a nuclide Y, which is itself radioactive and has a half-life of 4 days and decays to a stable…
- Photons emitted when a hydrogen-like Li^2+ ion makes the transition n=3→ n=2 fall on a metal surface of work function 4.0 eV. Take the hydrogen…
- A radioactive nuclide A of decay constant 2λ decays into a nuclide B of decay constant λ, and B decays into a stable nuclide. At t=0 there are N0…
- Paragraph 2: In a muonic hydrogen atom a negative muon (mass 207 me) is bound to a proton (mass 1836 me) and the system is treated with the Bohr…
Other Physics topics
Calorimetry and Heat Transfer 17Capacitors 11Current Electricity 13Electromagnetic Induction and Alternating Current 25Electrostatics 15Fluid Mechanics, Elasticity and Surface Tension 21Gravitation 13Kinematics and Laws of Motion 11Magnetic Effects of Current 34Ray and Wave Optics 21Rotational Motion 31Simple Harmonic Motion 15Thermodynamics and Kinetic Theory of Gases 23Units and Measurements 8Waves and Sound 28Work, Energy and Power 9