Complete the following statement: For the ground state of the hydrogen atom, the Bohr model correctly predicts

Options

A. Only the energy
B. Only the angular momentum
C. Only the angular momentum and the spin
D. The angular momentum and the energy

Answer

To complete the statement regarding the ground state of the hydrogen atom as predicted by the Bohr model, we need to analyze the key aspects of the Bohr model:

1. **Understanding the Ground State**:
- The ground state of the hydrogen atom is the lowest energy state, where the electron is in the closest orbit to the nucleus (n=1).

2. **Bohr Model Predictions**:
- The Bohr model provides a formula for calculating the energy levels of the hydrogen atom. The energy of the electron in the nth orbit is given by:
\[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \]
- For the ground state (n=1), the energy is:
\[ E_1 = -\frac{13.6 \, \text{eV}}{1^2} = -13.6 \, \text{eV} \]
- The Bohr model also predicts the angular momentum of the electron in the orbit. The angular momentum (L) is quantized and given by:
\[ L = n\frac{h}{2\pi} \]
- For the ground state (n=1), the angular momentum is:
\[ L = 1\frac{h}{2\pi} = \frac{h}{2\pi} \]

3. **Conclusion**:
- The Bohr model correctly predicts both the energy and the angular momentum for the ground state of the hydrogen atom. However, the question asks us to complete the statement with the most relevant prediction.

Thus, the completed statement is:
"For the ground state of the hydrogen atom, the Bohr model correctly predicts the energy of the electron."