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Consider the following statements: (I) Electron density in the XY plane in 3d x2 -y2 orbital is zero (II) Electron density in the XY plane in 3dz2 orbital is zero (III) 2s orbital has one nodal surface (IV) For 2pz orbital, YZ is the nodal plane, Which are the correct statements
  • a)
    I and III
  • b)
    II and III
  • c)
    Only II
  • d)
    I, II, III and IV
Correct answer is option 'A'. Can you explain this answer?
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Consider the following statements: (I) Electron density in the XY plan...

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Consider the following statements: (I) Electron density in the XY plan...
Explanation:
Let's analyze each statement one by one:

Statement I: Electron density in the XY plane in 3d x^2 - y^2 orbital is zero.

The 3d x^2 - y^2 orbital is a dumbbell-shaped orbital that has its lobes along the x and y axes. The electron density is concentrated in the lobes of the orbital, which lie in the x and y planes. Therefore, the electron density in the XY plane is zero. Hence, statement I is correct.

Statement II: Electron density in the XY plane in 3d z^2 orbital is zero.

The 3d z^2 orbital is a four-lobed orbital that has its lobes along the z-axis. The electron density is concentrated in the lobes of the orbital, which lie in the z plane. Therefore, the electron density in the XY plane is indeed zero. Hence, statement II is correct.

Statement III: 2s orbital has one nodal surface.

The 2s orbital is a spherical orbital that does not have any angular nodes. However, it has one radial node, which is a spherical surface where the electron density is zero. This radial node does not divide the orbital into two halves, so it is not considered a nodal surface. Therefore, statement III is incorrect.

Statement IV: For 2pz orbital, YZ is the nodal plane.

The 2pz orbital is a dumbbell-shaped orbital that has its lobes along the z-axis. The nodal plane is a plane where the electron density is zero. In the case of the 2pz orbital, the nodal plane is the xy plane, not the YZ plane. Therefore, statement IV is incorrect.

Conclusion:
From the analysis above, we can see that statements I and III are correct, while statements II and IV are incorrect. Therefore, the correct statements are:

a) I and III
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Consider the following statements: (I) Electron density in the XY plane in 3d x2 -y2 orbital is zero (II) Electron density in the XY plane in 3dz2 orbital is zero (III) 2s orbital has one nodal surface (IV) For 2pz orbital, YZ is the nodal plane, Which are the correct statementsa)I and IIIb)II and IIIc)Only IId)I, II, III and IVCorrect answer is option 'A'. Can you explain this answer?
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