Bohr's model of hydrogen atom — its postulates, derivation of relations for energy of an electron and radii of orbits; dual nature of matter; de Broglie's relationship; Heisenberg uncertainty principle; quantum mechanical model of atom; orbitals; quantum numbers; Aufbau principle, Pauli's exclusion principle, Hund's rule; electronic configuration of elements.
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Q1 · Atomic Structure · EASY
The wavelength associated with a moving particle of mass m and velocity v is given by de Broglie's equation. If the velocity of an electron (mass = 9.1 × 10⁻³¹ kg) is 2.2 × 10⁶ m/s, what is its de Broglie wavelength? (h = 6.6 × 10⁻³⁴ J·s)
Q2 · Atomic Structure · MEDIUM
According to Bohr's model, the energy of an electron in the nth orbit of a hydrogen atom is given by En = -13.6 / n² eV. What is the energy required to excite an electron from the ground state (n = 1) to the third excited state (n = 4)?
Q3 · Atomic Structure · MEDIUM
Which of the following sets of quantum numbers (n, l, m, s) is NOT possible for an electron in an atom?
Q4 · Atomic Structure · MEDIUM
An element has the electronic configuration [Ar] 3d⁵ 4s¹. This configuration violates which of the following principles or rules?
Q5 · Atomic Structure · HARD
The uncertainty in position and momentum of a particle are Δx and Δp respectively. According to Heisenberg's uncertainty principle, the minimum value of the product Δx · Δp is given by h / (4π), where h is Planck's constant. If the uncertainty in the position of an electron is 10⁻¹⁰ m, what is the minimum uncertainty in its momentum? (h = 6.63 × 10⁻³⁴ J·s)