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Assertion : Two nodal planes are presen...

Assertion : Two nodal planes are present in `3d_(xy)`.
Reason : Number of nodal planes = 1

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion.

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion.

C

If Assertion is true statement but Reason is false.

D

If both Assertion and Reason are false statements.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion-reason question regarding the nodal planes in the 3d_(xy) orbital, we can break down the solution into the following steps: ### Step 1: Understand the Assertion The assertion states that "Two nodal planes are present in 3d_(xy)." We need to analyze the structure of the 3d_(xy) orbital to confirm this statement. **Hint:** Recall that nodal planes are regions in an orbital where the probability of finding an electron is zero. ### Step 2: Analyze the 3d_(xy) Orbital The 3d_(xy) orbital has a cloverleaf shape and is oriented in the xy-plane. It has regions of positive and negative amplitude, which indicates the presence of nodal planes. **Hint:** Visualize the 3d_(xy) orbital in a three-dimensional coordinate system to identify the nodal planes. ### Step 3: Identify Nodal Planes In the case of the 3d_(xy) orbital, there are indeed two nodal planes: 1. The xz-plane 2. The yz-plane These planes divide the orbital into regions where the probability of finding an electron is zero. **Hint:** Remember that the number of nodal planes in a d-orbital is generally given by the formula \( n - l - 1 \), where \( n \) is the principal quantum number and \( l \) is the azimuthal quantum number. ### Step 4: Understand the Reason The reason states that "Number of nodal planes = 1." This is incorrect for the 3d_(xy) orbital, as we have established that there are two nodal planes. **Hint:** Compare the assertion with the reason to see if they are consistent with each other. ### Step 5: Conclusion Since the assertion is true (there are two nodal planes in the 3d_(xy) orbital) and the reason is false (the number of nodal planes is not one), we conclude that the correct answer is that the assertion is true, but the reason is false. **Final Answer:** The assertion is true, and the reason is false.
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