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Select the incorrect statements among th...

Select the incorrect statements among the following. 

A

In `d_(x^2 - y^2)` orbital, two nodal planes are present in xz- and yz-plane.

B

`d_(xy)` and `d_(x^2 - y^2)`have one common nodal plane.

C

One 4d orbital contains only two electrons of the same spin.

D

One 3d orbital contains a total of 10 electrons.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of identifying the incorrect statements regarding atomic orbitals, we will analyze each statement one by one. ### Step-by-Step Solution: 1. **Statement 1: In the dx² - y² orbital, two nodal planes are present in the xz and yz planes.** - The dx² - y² orbital has two nodal planes. These nodal planes are indeed present in the xz and yz planes. Therefore, this statement is **correct**. 2. **Statement 2: dxy and dx²y² have one common nodal plane.** - The dxy orbital has nodal planes along the xz and yz planes. The dx² - y² orbital has nodal planes along the x = y and x = -y directions. Thus, dxy and dx² - y² do not share a common nodal plane. Therefore, this statement is **incorrect**. 3. **Statement 3: One 4D orbital contains only two electrons of the same spin.** - According to the Pauli Exclusion Principle, no two electrons in the same orbital can have the same set of quantum numbers, including spin. Therefore, a 4D orbital cannot contain two electrons of the same spin. This statement is **incorrect**. 4. **Statement 4: One 3D orbital contains 10 electrons.** - Each orbital can hold a maximum of 2 electrons (with opposite spins). In the d subshell (3D), there are 5 orbitals, which can collectively hold a maximum of 10 electrons. However, the statement implies a single 3D orbital contains 10 electrons, which is not possible. This statement is also **incorrect**. ### Summary of Incorrect Statements: - The incorrect statements are **2, 3, and 4**.
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