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07.09.2019 •
Physics
Derive the velocity of an electron in a hydrogen atom using bohr's model. the electron has a mass of m, charge of (-e) and an orbit radius of r. make sure you explain all the teps including quantization of angular momentum to get full credits
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Ответ:
Explanation:
According to Bohr's Theory,
The force of attraction acting between the electron and the nucleus is equal to the centrifugal force acting on the electron.
Thus,
Where, Z is the atomic number or the number of protons
r is the atomic radius
v is the velocity of the electron
Also,
Accoriding to Bohr, the angular momentum is quantized. He states that the angular momemtum is equal to the integral multiple of
.
solving r from equation 2, we get that:
Putting in 1 , we get that:
Applying values for hydrogen atom,
Z = 1
Mass of the electron (
) is 9.1093×10⁻³¹ kg
Charge of electron (e) is 1.60217662 × 10⁻¹⁹ C
h is Plank's constant having value = 6.626×10⁻³⁴ m² kg / s
We get that:
Ответ: