Bohr model; spectrum of hydrogen atom; wave-particle duality; de Broglie hypothesis; uncertainty principle; quantum mechanical picture of hydrogen atom — energies, quantum numbers, probability density, shapes of s, p and d orbitals; Aufbau principle; Pauli's exclusion principle and Hund's rule.
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Q1 · Atomic Structure · HARD
For a hydrogen-like ion (atomic number Z), the wavelength of the radiation emitted when an electron jumps from n = 4 to n = 2 is 121.5 nm. What is the value of Z?
Q2 · Atomic Structure · MEDIUM
The kinetic energy of an electron in the third Bohr orbit of a hydrogen atom is (where a₀ is the Bohr radius, h is Planck's constant, and m is the electron mass):
Q3 · Atomic Structure · MEDIUM
For a hydrogen-like ion with atomic number Z = 3, calculate the energy (in eV) required to excite the electron from the n = 1 state to the n = 3 state. (Ionization energy of hydrogen = 13.6 eV)
Q4 · Atomic Structure · MEDIUM
The de Broglie wavelength of an electron accelerated through a potential difference of 100 V is approximately (mass of electron = 9.1 × 10⁻³¹ kg, charge = 1.6 × 10⁻¹⁹ C, h = 6.63 × 10⁻³⁴ J·s):