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Statement-I : 2p orbitals do not have sp...

Statement-I : 2p orbitals do not have spherical nodes.
Because
Statement-II : The number of spherical nodes in p-orbitals is given by `(n-2)`

A

Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I.

B

Statement-I is true, Statement-II is true , Statement-II is NOT a correct explanation for statement-I

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements and determine their validity. ### Step 1: Understand Statement-I **Statement-I:** 2p orbitals do not have spherical nodes. - The 2p orbital is characterized by the principal quantum number \( n = 2 \) and the azimuthal quantum number \( l = 1 \) (since it's a p orbital). - Spherical nodes are regions where the probability of finding an electron is zero and are determined by the formula for the number of spherical nodes, which is given by \( n - 1 - l \). ### Step 2: Calculate the Number of Spherical Nodes for 2p Using the formula for spherical nodes: - For the 2p orbital, \( n = 2 \) and \( l = 1 \). - Plugging in these values into the formula: \[ \text{Number of spherical nodes} = n - 1 - l = 2 - 1 - 1 = 0 \] - This means that the 2p orbital has 0 spherical nodes. ### Step 3: Understand Statement-II **Statement-II:** The number of spherical nodes in p-orbitals is given by \( n - 2 \). - We can verify this by substituting \( n \) into the formula for spherical nodes. - For p orbitals, we already calculated that the number of spherical nodes is \( n - 1 - l \). - Since \( l = 1 \) for p orbitals, we can rewrite it as: \[ n - 1 - 1 = n - 2 \] - This confirms that Statement-II is also correct. ### Step 4: Conclusion Both statements are true: - Statement-I is true because the 2p orbital indeed has 0 spherical nodes. - Statement-II is true as it correctly describes the number of spherical nodes for p orbitals. ### Final Answer Both statements are correct, and Statement-II provides the correct explanation for Statement-I.
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