Which one is the wrong statement?

Explanation:

Hydrogen-like atoms:

• For a hydrogen-like atom, the energy of any orbital is given by E = -13.6/n², where n is the principal quantum number.
• Thus, the energy of the orbital only depends on the Principal Quantum number for hydrogen-like monoelectronic atoms.
• This means 2s, 2p have the same energy, 3s, 3p, and 3d have the same energy for the hydrogen-like monoelectronic species.

De Broglie equation:

• The de Broglie equation is, λ = \(\frac{\text{h}}{\text{mv}}\), where m = mass of the particle, v = group velocity of the particle, it is known as the De Broglie equation, which shows the wave-particle dual nature of subatomic particles.

Heisenberg's uncertainty principle:

• Heisenberg's principle says that  ∆x x ∆p  ≥  \(\frac{\text{h}}{4\pi}\)    where ∆x and ∆p are uncertainty in position and momentum.
• This rule can also be expressed in terms of ∆E and ∆t, the product of uncertainty in energy and uncertainty in time is greater or equal to \( \frac{\text{h}}{4\pi}\):

           So,  ∆E x ∆t  ≥  \(\frac{\text{h}}{4\pi}\)

Half-filled and Fully-Filled configuration:

• It is known that the half-filled and full-filled orbitals are more stabilized than others
• It is due to the fact that half filled and full-filled are symmetric in nature and has high exchange energy.
• Any electron in any orbital of any subshell can exchange their positions, and this exchange releases energy, so the system becomes stable, and the higher the exchange rate high is the stability.
• Half-filled and fulfilled orbital has this high exchange energy so high stability and greater symmetry and greater balanced arrangement.
• So the correct option is (1) .