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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 wavelength of light emitted in the visible region by `He+` lons after collisions with `H` atoms is -

A

`6.5 xx 10^(-7) m`

B

`5.6 xx 10^(-7) m`

C

`4.8 xx 10^(-7) m`

D

`4.0 xx 10^(-7) m`

Text Solution

AI Generated Solution

To solve the problem, we need to find the wavelength of light emitted by the He+ ions after they collide with hydrogen atoms and transfer their excitation energy. We will use the Bohr model of the atom to calculate the energies involved in the transitions. ### Step-by-Step Solution: 1. **Determine the Energy Levels for Hydrogen (H)**: - The energy levels for hydrogen are given by the formula: \[ E_n = -\frac{13.6 \, \text{eV}}{n^2} ...
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