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Bohr’s theory is applicable to:...

Bohr’s theory is applicable to:

A

`He`

B

`Li^(2+)`

C

`He^(2+)`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine the applicability of Bohr's theory, we need to identify the species that have only one electron. Bohr's theory is specifically designed for single-electron systems. Let's analyze the given options step by step. ### Step 1: Understand Bohr's Theory Bohr's theory is applicable only to single-electron species. This means we need to look for atoms or ions that have exactly one electron. **Hint:** Remember that Bohr's model is primarily used for hydrogen-like atoms or ions, which have one electron. ### Step 2: Analyze the Given Options We need to check the number of electrons in each species provided in the question. 1. **Hydrogen (H)**: - Atomic number = 1 - Number of electrons = 1 (Bohr's theory is applicable) 2. **Helium (He)**: - Atomic number = 2 - Number of electrons = 2 (Bohr's theory is NOT applicable) 3. **Lithium ion (Li²⁺)**: - Atomic number of Lithium = 3 - Lithium has 3 electrons. Since it has a +2 charge, it has lost 2 electrons. - Number of electrons = 3 - 2 = 1 (Bohr's theory is applicable) 4. **Helium ion (He²⁺)**: - Atomic number of Helium = 2 - Helium has 2 electrons. With a +2 charge, it has lost both electrons. - Number of electrons = 2 - 2 = 0 (Bohr's theory is NOT applicable) ### Step 3: Conclusion From the analysis, we find that: - Hydrogen (H) has 1 electron, so Bohr's theory is applicable. - Lithium ion (Li²⁺) has 1 electron after losing 2, so Bohr's theory is applicable. - Helium (He) has 2 electrons, so Bohr's theory is NOT applicable. - Helium ion (He²⁺) has 0 electrons, so Bohr's theory is NOT applicable. Thus, the only species from the options that Bohr's theory is applicable to is **Li²⁺**. ### Final Answer Bohr's theory is applicable to **Li²⁺**. ---

To determine the applicability of Bohr's theory, we need to identify the species that have only one electron. Bohr's theory is specifically designed for single-electron systems. Let's analyze the given options step by step. ### Step 1: Understand Bohr's Theory Bohr's theory is applicable only to single-electron species. This means we need to look for atoms or ions that have exactly one electron. **Hint:** Remember that Bohr's model is primarily used for hydrogen-like atoms or ions, which have one electron. ### Step 2: Analyze the Given Options ...
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