(Originais Teachy 2023) - Question Medium of Physics

The radius of the orbit of an electron in a hydrogen atom can be calculated from the equation proposed by Niels Bohr, where the radius of the n-th orbit (n = 1, 2, 3, ...) is given by r = (n^2 * h^2 * e^2) / (4 * pi^2 * m * k * e^2), where h is the Planck constant, e is the charge of the electron, m is the mass of the electron, and k is the Coulomb constant. Considering the values of the physical constants h = 6.626 x 10^-34 J.s, e = 1.602 x 10^-19 C, m = 9.109 x 10^-31 kg, and k = 8.988 x 10^9 N.m^2/C^2, calculate the radius of the electron's orbit in the fourth orbit (n = 4) of a hydrogen atom.