The binding energy per nucleon is maximum for nuclei with mass number around:
Practice 2easy
A nucleus undergoes beta-minus decay. What happens to the atomic number (Z) and mass number (A)?
Practice 3easy
The radius of a nucleus is given by R = R₀A^(1/3), where R₀ ≈ 1.2 fm. If nucleus A has mass number 8 and nucleus B has mass number 27, what is the ratio of their radii R_A : R_B?
Practice 4easy
An alpha particle (He-4 nucleus) has a mass defect of 0.0305 u. What is its binding energy? (1 u = 931 MeV/c²)
Practice 5easy
In nuclear fission, a heavy nucleus splits into two lighter nuclei. Which statement is correct?
Practice 6medium
A nucleus has mass number A = 64 and atomic number Z = 29. The number of neutrons in this nucleus is:
Practice 7medium
The binding energy per nucleon for a nucleus is maximum for which mass number range?
Practice 8medium
A radioactive nucleus undergoes beta-minus decay. Which of the following changes occur?
Practice 9medium
The radius of a nucleus is approximately given by R = R₀A^(1/3), where R₀ = 1.2 × 10⁻¹⁵ m. The radius of a nucleus with A = 216 is approximately:
Practice 10medium
A nucleus emits an alpha particle (Helium-4 nucleus). The mass number and atomic number of the parent nucleus change by:
Practice 11medium
The binding energy of a nucleus with Z = 8, A = 16 is 127.6 MeV. The binding energy per nucleon is:
Practice 12medium
Two nuclei have mass numbers A₁ = 100 and A₂ = 200. The ratio of their nuclear densities (ρ₁/ρ₂) is:
Practice 13medium
A nucleus undergoes two successive alpha decays starting from mass number A = 232. The final mass number is:
Practice 14medium
The packing fraction of a nucleus is defined as (M - A)/A × 10³, where M is the mass defect in atomic mass units. If a nucleus has mass defect M = 0.5 u and A = 50, the packing fraction is:
Practice 15hard
A nucleus of mass number A = 200 undergoes alpha decay. What is the mass number of the daughter nucleus?
Practice 16hard
The binding energy per nucleon for a nucleus is 8.5 MeV. If the nucleus has 60 nucleons, what is its total binding energy?
Practice 17hard
A radioactive nucleus has a half-life of 10 years. What fraction of the original sample will remain after 30 years?
Practice 18hard
The radius of a nucleus with mass number A = 125 is approximately 6 fm. Using the relation R = R₀A^(1/3), find the nuclear radius constant R₀ in fermis.