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Which one is the wrong statement?
  • a)
    The uncertainty principle is ∆E × ∆t ≥ h/4π
  • b)
    Half filled and fully filled orbitals have greater stability due to greater exchange energy, greater symmetry and more balanced arrangement.
  • c)
    The energy of 2s -orbital is less than he energy of 2p -orbital in case of hydrogen like atoms.
  • d)
    de-Broglie's wavelength is given by λ = h/mv, where m = mass of the particle, v = group velocity of the particle.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which one is the wrong statement?a)The uncertainty principle is ∆E × ...
In case of hydrogen like atoms, energy depends on the principal quantum number only. Hence, 2s -orbital will have energy equal to 2p -orbital.
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Community Answer
Which one is the wrong statement?a)The uncertainty principle is ∆E × ...
Explanation:

The correct answer is option C: The energy of the 2s orbital is less than the energy of the 2p orbital in case of hydrogen-like atoms. This statement is incorrect because in hydrogen-like atoms, the energy of the 2s orbital is actually higher than the energy of the 2p orbital.

Uncertainty principle:
The uncertainty principle, formulated by Werner Heisenberg, states that the product of the uncertainty in the measurement of the energy (∆E) and the uncertainty in the measurement of time (∆t) is greater than or equal to h/4π, where h is the Planck's constant.

Stability of half-filled and fully filled orbitals:
Half-filled and fully filled orbitals are known to have greater stability due to several factors:
1. Greater exchange energy: Exchange energy arises from the quantum mechanical effect of electron-electron repulsion. In half-filled and fully filled orbitals, the electrons are distributed in such a way that the electron-electron repulsion is minimized, resulting in lower energy and greater stability.
2. Greater symmetry: Half-filled and fully filled orbitals have higher symmetry due to the arrangement of electrons. This symmetry contributes to the stability of the orbitals.
3. More balanced arrangement: The distribution of electrons in half-filled and fully filled orbitals is more balanced, leading to a more stable configuration.

Energy of 2s and 2p orbitals:
In hydrogen-like atoms, the energy of the 2s orbital is actually higher than the energy of the 2p orbital. This can be explained by the fact that the 2s orbital has a greater probability of being closer to the nucleus compared to the 2p orbital. The higher the probability of finding an electron closer to the nucleus, the higher the energy of the orbital.

de Broglie's wavelength:
de Broglie's wavelength is given by the equation λ = h/mv, where λ is the wavelength, h is the Planck's constant, m is the mass of the particle, and v is the group velocity of the particle. This equation relates the wavelength of a particle to its mass and velocity, providing a connection between the particle and wave properties.

In conclusion, the incorrect statement is option C: The energy of the 2s orbital is less than the energy of the 2p orbital in case of hydrogen-like atoms. The energy of the 2s orbital is actually higher than the energy of the 2p orbital in hydrogen-like atoms.
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Which one is the wrong statement?a)The uncertainty principle is ∆E × ∆t ≥ h/4πb)Half filled and fully filled orbitals have greater stability due to greater exchange energy, greater symmetry and more balanced arrangement.c)The energy of 2s -orbital is less than he energy of 2p -orbital in case of hydrogen like atoms.d)de-Broglie's wavelength is given by λ = h/mv, where m = mass of the particle, v = group velocity of the particle.Correct answer is option 'C'. Can you explain this answer?
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