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If two subshells have equal value of (n+...

If two subshells have equal value of (n+l) and one of them has `n=4,l=3, while second subshell has dumbbell shape. Then which of the following statement is/ are correct? 

A

Second subshell has value of n = 6.

B

One of the orbitals of second subshell has one nodal plane.

C

Second subshell is d-subshell.

D

First subshell is f-subshell.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the information given about the two subshells and determine the correct statements based on the values of n and l. ### Step-by-Step Solution: 1. **Identify the values of n and l for the first subshell**: - The first subshell is given with \( n = 4 \) and \( l = 3 \). - The value of \( n + l \) for this subshell is \( 4 + 3 = 7 \). 2. **Determine the characteristics of the second subshell**: - The second subshell is described as having a "dumbbell shape," which corresponds to the p subshell. - For a p subshell, the value of \( l \) is \( 1 \). 3. **Set up the equation for the second subshell**: - Since both subshells have the same \( n + l \) value, we can set up the equation: \[ n + l = 7 \] - Substituting \( l = 1 \) for the p subshell: \[ n + 1 = 7 \] - Solving for \( n \): \[ n = 7 - 1 = 6 \] 4. **Analyze the statements**: - **Statement 1**: "The second subshell has a value of \( n = 6 \)." - This is **correct** since we found \( n = 6 \). - **Statement 2**: "One of the orbitals of the second subshell has one nodal plane." - The formula for the number of nodal planes is \( n - l - 1 \). - For the second subshell: \[ n - l - 1 = 6 - 1 - 1 = 4 \] - This statement is **incorrect** because it states "one nodal plane" when there are actually 4 nodal planes. - **Statement 3**: "The second subshell is a D subshell." - This is **incorrect** because we identified the second subshell as a p subshell. - **Statement 4**: "The first subshell is an F subshell." - This is **correct** since \( l = 3 \) corresponds to the f subshell. 5. **Conclusion**: - The correct statements are: - Statement 1: The second subshell has \( n = 6 \). - Statement 4: The first subshell is an F subshell. ### Final Answer: The correct statements are 1 and 4.
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