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In a mixture of H- He^(+) gas (He+ is si...

In a mixture of `H- He^(+)` gas (`He+ `is singly ionized He atom), `H` atom and `He+` ions are excited to their respective first excited state. Subsequently `H` atoms transfer their total excitation energy to `He+` ions (by collisions) Assume that the bohr model of atom is exactly valid.
The quantum number `n` of the state finally populated in `He^(+)` inos is -

A

2

B

3

C

4

D

5

Text Solution

AI Generated Solution

To solve the problem, we need to determine the quantum number \( n \) of the state finally populated in \( \text{He}^+ \) ions after the energy transfer from excited hydrogen atoms. We will use the Bohr model of the atom to find the energy levels of both hydrogen and singly ionized helium. ### Step-by-Step Solution: 1. **Energy Levels of Hydrogen:** The energy levels for a hydrogen atom in the Bohr model are given by the formula: \[ E_n = -\frac{13.6 \, \text{eV}}{n^2} ...
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