Bohr Energy Levels

Question

Energy of nth level of hydrogen atom En equals?

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1. **Bohr's Theory**: According to Bohr's model for the hydrogen atom, the energy of an electron in the $n^{th}$ orbit is quantized.
2. **Energy Formula**: The total energy $E_n$ is given by:
   $E_n = -\frac{13.6 Z^2}{n^2} 	ext{ eV}$
3. **For Hydrogen**: Since $Z = 1$ for hydrogen, the formula simplifies to:
   $E_n = -\frac{13.6}{n^2} 	ext{ eV}$
4. **Significance**: The negative sign indicates that the electron is bound to the nucleus. As $n$ increases, the energy becomes less negative (higher energy).

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Bohr Energy Levels

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