Atom and nucleus of atom

Electron orbit
$$\frac{m\cdot v^{2}}{r} = \frac{e^{2}}{4\cdot \pi\cdot \varepsilon0\cdot r^{2}}$$
m - mass
v - speed (velocity)
r - radius
e - electron charge
ε0 - permittivity constant
Find   It is known that:
      =   
Calculate 'm'

The second postulate of Bohr
$$h\cdot \nu = E_{k}-E_{n}$$
h - Planck's constant
ν - frequency
E_k - energy in orbit k
E_n - energy in orbit n
Find   It is known that:
      =   
Calculate 'h'

Quantization of electron orbits
$$m\cdot v\cdot r = \frac{n\cdot h}{2\cdot \pi}$$
m - mass
v - speed (velocity)
r - radius
n - quantum number
h - Planck's constant
Find   It is known that:
      =   
Calculate 'm'

Bohr orbit radius
$$r = \frac{4\cdot \pi\cdot \varepsilon0\cdot n^{2}\cdot \hbar}{m\cdot e^{2}}$$
r - radius
ε0 - permittivity constant
n - quantum number
ℏ - small Planck constant
m - mass
e - electron charge
Find   It is known that:
      =   
Calculate 'r'

Bohr radius of the electron orbit
$$r = n^{2}\cdot 0.528\cdot 10^{(-10)}$$
r - radius
n - quantum number
Find   It is known that:
      =   
Calculate 'r'

Velocity of an electron in a Bohr orbit
$$v = \sqrt {\frac{e^{2}}{4\cdot \pi\cdot \varepsilon0\cdot m\cdot r}}$$
v - speed (velocity)
e - electron charge
ε0 - permittivity constant
m - mass
r - radius
Find   It is known that:
      =   
Calculate 'v'

Velocity of an electron in a Bohr orbit
$$v = \frac{e^{2}}{4\cdot \pi\cdot \varepsilon0\cdot n\cdot \hbar}$$
v - speed (velocity)
e - electron charge
ε0 - permittivity constant
n - quantum number
ℏ - small Planck constant
Find   It is known that:
      =   
Calculate 'v'

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