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Saturday, 31 October

JEE Main 2023 · PhysicsMultiple choiceOtherMediumConceptual

JEE Main 8 April 2023, Shift 1, Physics Q43

Question 43 of 90 in this shift, Physics question 13 of 30, Section A.

For a nucleus ZAX{}^{A}_{Z}\mathrm{X} having mass number A and atomic number Z A. The surface energy per nucleon (bs)=−a1A2/3(\mathrm{b_s}) = -a_1 A^{2/3}. B. The Coulomb contribution to the binding energy bc=−a2Z(Z−1)A4/3\mathrm{b_c} = -a_2\frac{Z(Z-1)}{A^{4/3}} C. The volume energy bv=a3A\mathrm{b_v} = a_3 A D. Decrease in the binding energy is proportional to surface area. E. While estimating the surface energy, it is assumed that each nucleon interacts with 12 nucleons. (a1a_1, a2a_2 and a3a_3 are constants) Choose the most appropriate answer from the options given below:
  1. (1)A, B, C, D only
  2. (2)B, C only
  3. (3)C, D onlyOfficial answer
  4. (4)B, C, E only

Official answer

Option 3

NTA final key.

Chapter
Nuclei
Topic
Nuclear Binding Energy
Idea tested
Liquid Drop Model Surface Energy Term

Same topic in other shifts

All Nuclear Binding Energy questions
  1. 2 Apr 2026, Shift 2 · Q44The binding energy per nucleon of 20983Bi\frac{209}{83}Bi isMediumSingle correct
  2. 4 Apr 2026, Shift 1 · Q29Two nuclei of mass number 33 combine with another nucleus of mass number 44 to yield a nucleus of mass number 1010. If the binding…MediumSingle correct
  3. 5 Apr 2026, Shift 2 · Q44Assuming the experimental mass of 612C{}^{12}_{6}\mathrm{C} as 12 u, the mass defect of 612C{}^{12}_{6}\mathrm{C} atom is ________…EasySingle correct
  4. 6 Apr 2026, Shift 1 · Q48The energy released when 717.13\frac{7}{17.13} kg of 37Li^{7}_{3}\mathrm{Li} is converted into 24He^{4}_{2}\mathrm{He} by proton bombardment is…MediumNumerical value
  5. 6 Apr 2026, Shift 2 · Q41The energy released if hydrogen atoms are combined to form 24He^{4}_{2}\mathrm{He} is __________ MeV. (Take binding energies per nucleon of…EasySingle correct
  6. 2 Apr 2025, Shift 2 · Q38Energy released when two deuterons (1H2_1\mathrm{H}^2) fuse to form a helium nucleus (2He4_2\mathrm{He}^4) is : (Given : Binding energy per…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.