To determine which statement is correct about the Bohr model of atoms, let's consider each option:
- Uses Einstein's photoelectric equation: The Bohr model does not utilize Einstein's photoelectric equation directly. The photoelectric effect is related to the emission of electrons from a material when light is shone upon it and is not a central concept in the Bohr model.
- Predicts continuous emission spectra for atoms: The Bohr model actually predicts discrete emission spectra, not continuous. This is because it is based on the quantization of energy levels, leading to discrete spectral lines.
- Predicts the same emission spectra for all types of atoms: This statement is incorrect because the Bohr model specifically addresses hydrogen-like (single-electron) atoms. Different atoms have different emission spectra due to their unique electronic configurations.
- Assumes that the angular momentum of electrons is quantized: This is the correct statement regarding the Bohr model. Bohr proposed that the angular momentum of electrons in an atom is quantized and is an integer multiple of \hbar (h-bar, where \hbar = \frac{h}{2\pi} and h is Planck's constant).
The Bohr model fundamentally assumes the quantization of electron orbital angular momentum, which successfully explains the discrete emission lines of hydrogen.
Thus, the correct answer is that the Bohr model assumes that the angular momentum of electrons is quantized.