Which one is the following is wrong statement?

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The uncertainty principle $Δ E \times Δ t \geq \frac{h}{4 π}$

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

The energy of 2s – orbital is less than the energy of 2p - orbital in case of hydrogen like atoms

The de-Broglie’s wavelength is given by $λ = \frac{h}{m ν}$ where m = mass of the particle and v = velocity of the particle

answer is C.

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Detailed Solution

For single electron system, $E \propto n$ irrespective of ‘l’ values
For uni electronic species, 2s = 2p, 3s = 3p = 3d
(1) According to Heisenberg of uncertainity principle, the product of uncertainity conjugate pairs $\geq \frac{h}{4 π}$ . The conjugate pairs are
i. $Δ E and Δ T$

ii. $Δ X and Δ P$ (where $Δ$ represents uncertainity is measurements)
(2) More the exchange energy, less the energy that the system possesses. Less energy and less energy systems are more stable
More the symmetry, greater is the stability of the system
(4) The de Broglie’s wavelength is given by $λ = \frac{h}{m ν}$ where m = mass of the particle, and $ν$ = velocity of the particle