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Which of the following has similar spect...

Which of the following has similar spectrum as that of `Li^(+)` :-

A

H

B

`Na^(10+)`

C

He

D

`He^(+)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following elements has a similar spectrum to that of \( \text{Li}^+ \), we need to analyze the electronic configuration of \( \text{Li}^+ \) and compare it with the other options. ### Step-by-Step Solution: 1. **Identify the Electronic Configuration of Lithium (Li)**: - Lithium has an atomic number of 3, so its electronic configuration is: \[ \text{Li: } 1s^2 \, 2s^1 \] 2. **Determine the Configuration of \( \text{Li}^+ \)**: - When lithium loses one electron to form \( \text{Li}^+ \), it loses the outermost electron (2s electron): \[ \text{Li}^+: 1s^2 \] 3. **Identify the Options**: - We need to compare \( \text{Li}^+ \) with the provided options. Let's analyze each option one by one. 4. **Option Analysis**: - **Hydrogen (H)**: - Electronic configuration: \( 1s^1 \) - Not similar to \( \text{Li}^+ \) (which has \( 1s^2 \)). - **Sodium Ion (\( \text{Na}^{10+} \))**: - Sodium has an atomic number of 11, so its configuration is: \[ \text{Na: } 1s^2 \, 2s^2 \, 2p^6 \, 3s^1 \] - Removing 10 electrons from sodium would leave: \[ \text{Na}^{10+}: 1s^1 \] - Not similar to \( \text{Li}^+ \). - **Helium (He)**: - Electronic configuration: \( 1s^2 \) - This is identical to the configuration of \( \text{Li}^+ \). - **Helium Ion (\( \text{He}^+ \))**: - Removing one electron from helium gives: \[ \text{He}^+: 1s^1 \] - Not similar to \( \text{Li}^+ \). 5. **Conclusion**: - The only element that has the same electronic configuration as \( \text{Li}^+ \) is Helium (\( \text{He} \)). - Therefore, the answer is: \[ \text{He} \]
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