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Assertion : 2s-orbital has one node. ...

Assertion : 2s-orbital has one node.
Reason : Number of nodes in an orbital is equal to `(n - l -1)` value.

A

Assertion and reason both are correct statements and reason is correct explanation for assertion.

B

Assertion and reason both are correct statements but reason is not correct explanation for assertion.

C

Assertion is correct statement but reason is wrong statement.

D

Assertion is wrong statement but reason is correct statement.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the 2s orbital has one node. - A node is a region in an atom where the probability of finding an electron is zero. 2. **Identifying the Type of Nodes**: - There are two types of nodes: radial nodes and angular nodes. - Radial nodes are calculated using the formula: \[ \text{Radial Nodes} = n - l - 1 \] - Angular nodes are equal to the azimuthal quantum number \( l \). 3. **Determining Quantum Numbers for 2s Orbital**: - For the 2s orbital: - The principal quantum number \( n \) is 2. - The azimuthal quantum number \( l \) for s-orbitals is 0. 4. **Calculating the Number of Nodes**: - **Radial Nodes Calculation**: \[ \text{Radial Nodes} = n - l - 1 = 2 - 0 - 1 = 1 \] - **Angular Nodes Calculation**: \[ \text{Angular Nodes} = l = 0 \] - Therefore, the total number of nodes in the 2s orbital is: - Radial Nodes = 1 - Angular Nodes = 0 - Total Nodes = 1 (since only radial nodes contribute in this case). 5. **Conclusion**: - The assertion is correct: the 2s orbital has one node. - The reason provided is also correct: the number of nodes in an orbital is indeed calculated by the formula \( n - l - 1 \). - Therefore, the reason correctly explains the assertion. ### Final Answer: Both the assertion and the reason are correct, and the reason is the correct explanation for the assertion.
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