Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
IAT IISER2026PhysicsNuclear Physics

The three numbers: (number of protons, number of neutrons, the radius) characterize a nucleus. What is the value of r₁ r₂ for two nuclei characterized by (1, 0, r₁) and (4, 4, r₂) ?

Options

  1. A8
  2. B1 8
  3. C1 2
  4. D2

Correct answer

C. 1 2

Step-by-step solution

The mass number A of a nucleus is the sum of the number of protons and the number of neutrons. For the first nucleus, A₁ = 1 + 0 = 1 . For the second nucleus, A₂ = 4 + 4 = 8 . The radius of a nucleus is given by r = R₀ A^ 1/3 . Therefore, the ratio of their radii is r₁ r₂ = ( A₁ A₂ )^ 1/3 . Substituting the values, r₁ r₂ = ( 1 8 )^ 1/3 = 1 2 . Answer: 1 2

Practice Nuclear Physics on Quantrex Academy →

More from Nuclear Physics

The main function of cadmium used in the nuclear reactor is: 2026The atomic mass of an element ₁₀X²⁰ is 19.98170 amu. The binding energy per nucleon of that element is: [given mass of neutron = 1.00867 amu and mass of proton = 1.00783 amu and 1a 2026If the ratio of the nuclear radii of two atoms is 2:3 then the ratio of their mass numbers is: 2026Two deuterons are fused to form one alpha particle. If binding energy per nucleon of deuterium is 1.05 MeV and that of alpha particle is 7 MeV, what is the energy released in the f 2026A nucleus of uranium-235 absorbs a slow neutron and undergoes nuclear fission according to the reaction: ²³⁵₉₂U + ¹₀n ¹⁴¹₅₆Ba + ⁹²₃₆Kr + 3 ¹₀n + Q If the average energy released pe 2026A mercury-198 nucleus is bombarded by a neutron, which causes a nuclear reaction ¹₀n + ¹⁹⁸₈₀Hg ¹⁹⁷₇₉Au + X What is the unknown product particle X? 2026If the binding energy per nucleon of deuteron ( ₁ H ^2 ) is 1.15 MeV and an -particle has a binding energy of 7.1 MeV per nucleon, then the energy released per nucleon in the given 2025If the half-life of a radioactive material is 10 years, then the percentage of the material decayed in 30 years is 2025 Full Nuclear Physics list All IAT IISER PYQs