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Which of the following statements is wro...

Which of the following statements is wrong? The probability of finding the electron in `p_(x)` orbital is

A

maximum on two opposite sides of the nucleus along x-axis

B

zero at the nucleus

C

same on all the sides around the nucleus

D

zero on the z-axis.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement about the probability of finding an electron in the \( p_x \) orbital is incorrect, we can analyze the properties of the \( p_x \) orbital step by step. ### Step-by-Step Solution: 1. **Understanding the \( p_x \) Orbital:** - The \( p_x \) orbital is one of the three \( p \) orbitals (the others being \( p_y \) and \( p_z \)). It has a specific shape characterized by two lobes that extend along the x-axis, with a node at the nucleus (the center point). 2. **Analyzing the Electron Density:** - In the \( p_x \) orbital, the electron density is not uniform. It is concentrated in the two lobes located on either side of the nucleus along the x-axis. The electron density is zero at the nucleus (node). 3. **Evaluating the Statements:** - **Statement 1:** "Maximum on the two opposite sides of the nucleus along the x-axis." - This statement is true because the lobes of the \( p_x \) orbital are located on opposite sides of the nucleus, where the electron density is indeed maximum. - **Statement 2:** "Zero at the nucleus." - This statement is also true as we have established that the electron density is zero at the nucleus. - **Statement 3:** "Same on all sides around the nucleus." - This statement is false. The electron density is not the same on all sides; it is specifically concentrated in the lobes along the x-axis and is zero along the y and z axes. - **Statement 4:** "Zero on the z-axis." - This statement is true because there are no lobes of the \( p_x \) orbital along the z-axis, resulting in zero electron density. 4. **Conclusion:** - The only incorrect statement among the options provided is Statement 3, which claims that the electron density is the same on all sides around the nucleus. ### Final Answer: The wrong statement is: "Same on all sides around the nucleus." ---

To determine which statement about the probability of finding an electron in the \( p_x \) orbital is incorrect, we can analyze the properties of the \( p_x \) orbital step by step. ### Step-by-Step Solution: 1. **Understanding the \( p_x \) Orbital:** - The \( p_x \) orbital is one of the three \( p \) orbitals (the others being \( p_y \) and \( p_z \)). It has a specific shape characterized by two lobes that extend along the x-axis, with a node at the nucleus (the center point). 2. **Analyzing the Electron Density:** ...
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