Bohr's model, hydrogen spectrum, nuclear binding energy, radioactivity, fission, fusion.
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Q1 · Atoms and Nuclei · EASY
In Bohr's model, the radius of the nth orbit in a hydrogen atom is r_n = n² r_0 (where r_0 is the Bohr radius). For n = 3, the orbital radius is:
Q2 · Atoms and Nuclei · EASY
A radioactive sample has a half-life of 10 days. The fraction of the original sample remaining after 30 days is:
Q3 · Atoms and Nuclei · EASY
The binding energy per nucleon is maximum for iron (Fe-56) and is approximately 8.8 MeV. If the mass defect of Fe-56 nucleus is Δm, then the total binding energy of Fe-56 is:
Q4 · Atoms and Nuclei · MEDIUM
In the hydrogen spectrum, the wavelengths of the first line (n = 3 to n = 2) and the series limit (n = ∞ to n = 2) of the Balmer series are λ₁ and λ₂ respectively. The ratio λ₁/λ₂ is:
Q5 · Atoms and Nuclei · HARD
A nucleus X undergoes alpha decay followed by two beta-minus decays to form nucleus Y. If the atomic number and mass number of X are Z and A respectively, then the atomic number and mass number of Y are: