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Topic: Dual nature of matter, de Broglie relation, Heisenberg uncertainty principle· Atomic Structure

Which one is the wrong statement ?

1. The uncertainty principle is \(\Delta E \times \Delta t \geq \frac{h}{4\pi}\).

2. Half filled and fully filled orbitals have greater stability due to greater exchange energy, greater symmetry and more balanced arrangement.

3. The energy of 2s orbital is less than the energy of 2p orbital in case of Hydrogen like atoms.

4. de-Broglie's wavelength is given by \(\lambda = \frac{h}{mv}\), where m = mass of the particle, \(v\) = group velocity of the particle.

1 answer

Best answer

Answer: 3. The energy of 2s orbital is less than the energy of 2p orbital in case of Hydrogen like atoms.

Key idea: in a hydrogen-like atom, energy depends only on n.

For one-electron species (H, \(\mathrm{He^+}\)), 2s and 2p have the same energy, because there is no electron-electron repulsion. Statement 3 says 2s has lower energy, so it is wrong. The others are correct: \(\Delta E\,\Delta t\ge h/4\pi\); half- and fully-filled subshells are extra stable due to exchange energy and symmetry; and \(\lambda = h/mv\).

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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