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Composition and Size of the Nucleus for JEE: 20 solved questions

Real JEE paper questions on composition and size of the nucleus, part of nuclei. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2003 to 2026. No sign-in needed to read them.

What this topic asks

• Nuclear radius and density — 18 questions
• Composition, isotopes and isobars — 2 questions

All 20 questions with solutions

• An atom ⁸₃X is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 p… JEE Main 28th Jan 1st Shift 2026
• A nucleus has mass number α and radius R_α. Another nucleus has mass number β and radius R_β. If β=8α then (R… JEE Main 28th Jan 2nd Shift 2026
• Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Ass… JEE Main 7th April 2nd Shift 2025
• For a nucleus of mass number A and radius R, the mass density of nucleus can be represented as JEE Main 8th April 2nd Shift 2025
• The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is JEE Main 31st Jan 2nd Shift 2024
• Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Ass… JEE Main 30th Jan 2nd Shift 2023
• Mass number of two nuclei are in the ratio of 4:3. Their nuclear densities will be in the ratio of JEE Main 26th July 2nd Shift 2022
• Read the following statements. (A) Volume of the nucleus is directly proportional to the mass number. (B) Vol… JEE Main 29th July 2nd Shift 2022
• Which of the following figure represents the variation of ln (R/(R₀)) with ln A (if R= radius of a nucleus an… JEE Main 25th June 2nd Shift 2022
• The radius R of a nucleus of mass number A can be estimated by the formula R=(1.3×10⁻¹⁵)A^1/3 m. It follows t… JEE Main 3rd Sept 2nd Shift 2020
• The ratio of mass densities of nuclei of ⁴⁰Ca and ¹⁶O is close to JEE Main 8th April 2nd Shift 2019
• An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8:27… JEE Main Online 2018
• If radius of the ²⁷₁₃Al nucleus is estimated to be 3.6 fermi then the radius of ¹²⁵₅₂Al nucleus be nearly JEE Main 2005
• A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2:1. The ratio of the… JEE Main 2004
• The wavelengths involved in the spectrum of deuterium (²₁D) are slightly different from that of hydrogen spec… JEE Main 2003
• The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius… JEE Main 1st Feb 1st Shift 2024
• A nucleus has mass number A₁ and volume V₁. Another nucleus has mass number is A₂ and volume V₂. If relation… JEE Main 31st Jan 2nd Shift 2024
• A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1:2^1/3. T… JEE Main 11th April 2nd Shift 2023
• Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6×10⁻²⁷ kg and radius of nucleus i… JEE Main 24th Jan 1st Shift 2023
• Which of the following pair of nuclei are isobars of the element? JEE Main 23rd Jan 2nd Shift 2026