Alpha-particle scattering experiment; Rutherford's model; Bohr's model and energy levels; hydrogen spectrum; composition and size of nucleus; mass-energy equivalence; nuclear binding energy per nucleon; mass defect; radioactivity — alpha, beta and gamma decays; half-life and mean life; nuclear fission and fusion.
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Q1 · Atoms and Nuclei · EASY
In Rutherford's alpha-particle scattering experiment, a thin gold foil of thickness 2.1 × 10^(-7) m was used. If the average distance between two gold atoms is 3 × 10^(-10) m, approximately how many layers of atoms are present in the foil?
Q2 · Atoms and Nuclei · MEDIUM
The energy of an electron in the nth orbit of a hydrogen atom is given by E_n = -13.6/n² eV. When an electron transitions from n = 4 to n = 2, what is the wavelength of the photon emitted? (Take hc = 1240 eV·nm)
Q3 · Atoms and Nuclei · EASY
A radioactive sample has a half-life of 20 days. What fraction of the original sample will remain undecayed after 60 days?
Q4 · Atoms and Nuclei · MEDIUM
The mass defect for a nucleus with binding energy 1800 MeV is approximately (Take c² = 931 MeV/u, where u is the atomic mass unit):
Q5 · Atoms and Nuclei · HARD
In a nuclear reactor, uranium-235 undergoes fission when bombarded by slow neutrons. If the binding energy per nucleon for U-235 is 7.6 MeV and for the fission fragments (average mass number 118) is 8.5 MeV, what is the approximate energy released per fission event?