1)Show that the speed of the electron in the nth circular Bohr orbit is (αc)/n, where α =e2/4πε0hc. Look up all the constants in αand prove that it is dimensionless and has the approximate value = 1/137.2)Find the electron’s angular frequency of revolution ϖnfor the same orbit.3)Using Bohr’s and Planck’s formulas Ei-Ef= hϖ,obtain the angular frequncy of the photon emitted as an electron falls from the level n+1 to n.4)Show that as n goes to infinity, the result of (3) goes over to the value in (2). Classically, the radiation frequency from an electron in a circular orbit is the same as
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