Question

Which one is the wrong statement?

• A. de-Broglie's wavelength is given by \(λ=\frac {h}{mv}\), where \(m\) = mass of the particle, \(v\) = group velocity of the particle
• B. The uncertainty principle is \(△E × △t ≥ \frac {h}{4\pi}\)
• C. Half-filled and fully filled orbitals have greater stability due to greater exchange energy, greater symmetry and more balanced arrangement
• D. The energy of 2s orbital is less than the energy of 2p orbital in case of Hydrogen like atoms

Answer 1

The Correct Option is D

Let's evaluate each statement to determine which one is incorrect:

1. De-Broglie's wavelength is given by \(λ=\frac {h}{mv}\), where \(m\) = mass of the particle, \(v\) = group velocity of the particle: This statement is correct. According to de Broglie's hypothesis, particles like electrons exhibit wave-like properties, and the wavelength \(λ\) is given by the formula \(λ=\frac {h}{mv}\).
2. The uncertainty principle is \(△E × △t ≥ \frac {h}{4\pi}\): This statement is accurate. According to Heisenberg's uncertainty principle, the product of uncertainty in energy and time is greater than or equal to \(\frac {h}{4\pi}\).
3. Half-filled and fully filled orbitals have greater stability due to greater exchange energy, greater symmetry, and more balanced arrangement: This statement is correct as well. In atomic chemistry, the stability of electron configurations is enhanced in half-filled and fully-filled orbitals due to exchange energy and symmetry.
4. The energy of 2s orbital is less than the energy of 2p orbital in case of Hydrogen like atoms: This statement is incorrect. For hydrogen-like atoms, which are one-electron systems, the energy of an orbital depends only on the principal quantum number \(n\). Therefore, 2s and 2p orbitals have the same energy in hydrogen-like atoms.

Thus, the incorrect statement is: The energy of 2s orbital is less than the energy of 2p orbital in case of Hydrogen like atoms.