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// Scilab Code Ex2.15 First Bohr Orbit in hydrogen atom: Pg:56 (2008)s
n = 1; // Principle quantum number of first orbit in H-atom
h = 6.624e-034; // Planck's Constant, Js
c = 3e+08; // Speed of light, m/s
epsilon_0 = 8.85e-012; // Absolute electrical permittivity of free space, coulomb square per newton per metre square
Z = 1; // Atomic number of hydrogen
m = 9.1e-031; // Mass of an electron, kg
e = 1.6e-019; // Charge on an electron, coulomb
r = epsilon_0*n^2*h^2/(%pi*m*Z*e^2); // Radius of first Bohr's orbit, m
v = Z*e^2/(2*8.85e-012*h*n); // Velocity of electron in the first Bohr orbit, m/s
printf("\nThe radius of first Bohr orbit = %5.3f angstrom", r/1e-010);
printf("\nThe velocity of electron in first Bohr orbit = (1/%3d)c", 1/v*c);
// Result
// The radius of first Bohr orbit = 0.531 angstrom
// The velocity of electron in first Bohr orbit = (1/137)c
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