Question

how Bohr atomic model was explained by de-Broglie? Explain?​

Answer 1

Answer:

According to Bohr's atomic model, the angular momentum of electron orbiting around the nucleus is quantized. ... This postulate regarding the quantisation of angular momentum of an electron was later explained by Louis de Broglie. According to him, a moving electron in its circular orbit behaves like a particle wave.

Answer 2

Answer:

De Broglie proposed a justification for the possibility that the angular momentum might be quantized in the way that Bohr believed it to be. De Broglie discovered that the quantized angular momenta Bohr obtained could be obtained by using the wavelength associated with the electron and the assumption that an integral number of wavelengths must fit within the circle of an orbit.

Explanation:

In accordance with Bohr's theory of the atom, electrons move in a circle with a constant angular momentum around the nucleus. De Broglie asserts that electrons have both a particle nature and a wave nature. If the electron's route is circular, the wave's nature should be that of a stationary wave. Given that the wave is a stationary wave, the circumference of the electron's circular route should be an integral multiple of the wave's wavelength. Because the wavelength of the wave is set for that specific orbit, the energy of the wave associated with the electron traveling in that orbit is quantized.

The circumference of the orbit should be an integral number of wavelengths:

$2\pi r=n\lambda =\frac{nh}{p}$

$2\pi r=\frac{nh}{mv}$

Rearranging according to Bhor's relationship:

$L_r=mvr=\frac{nh}{mv}$

So, de-Broglie explained Bhor atomic model.

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