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Assertion (A) : p orbital is dumb- bell ...

Assertion (A) : p orbital is dumb- bell shaped
Reason (R ) :Electron presents in p orbital can have any one of three value of magnetic quantum number i.e. `0,+1, or - 1`

A

If both (A) and (R ) correct and (R ) is the correct explanation for (A)

B

If both (A) and (R ) correct and (R ) is the correct explanation for (A)

C

If (A) is correct but (R ) is incorrect

D

If (A) is incorrect but (R ) is correct

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The correct Answer is:
To solve the question, we will analyze both the assertion and the reason provided and determine their correctness and relationship. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that "p orbital is dumbbell shaped." - This is a well-known fact in chemistry. The p orbitals have a characteristic dumbbell shape, which can be visualized as two lobes on either side of the nucleus, with a node at the nucleus. **Conclusion**: The assertion is **correct**. 2. **Understanding the Reason (R)**: - The reason states that "Electron present in p orbital can have any one of three values of magnetic quantum number i.e. 0, +1, or -1." - The magnetic quantum number (m_l) for p orbitals can indeed take the values -1, 0, and +1. This corresponds to the three different orientations of the p orbitals (p_x, p_y, and p_z). **Conclusion**: The reason is also **correct**. 3. **Analyzing the Relationship**: - The assertion is about the shape of the p orbital, while the reason discusses the possible values of the magnetic quantum number for electrons in those orbitals. - Although both statements are correct, the reason does not explain why the p orbital has a dumbbell shape. The shape is a result of the angular momentum of the electrons and the mathematical solutions to the Schrödinger equation, not merely the values of the magnetic quantum number. **Conclusion**: The reason is **not a correct explanation** of the assertion. 4. **Final Answer**: - Since both the assertion and reason are correct, but the reason does not explain the assertion, the correct option is: - **B**: Both A and R are correct, but R is not the correct explanation of A.

To solve the question, we will analyze both the assertion and the reason provided and determine their correctness and relationship. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that "p orbital is dumbbell shaped." - This is a well-known fact in chemistry. The p orbitals have a characteristic dumbbell shape, which can be visualized as two lobes on either side of the nucleus, with a node at the nucleus. ...
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