In the Bohr model of hydrogen

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

In the Bohr model of hydrogen, allowed orbits satisfy 2πr=nλ2\pi r = n\lambda, where nn is a positive integer. Using this condition together with Newtonian circular motion under Coulomb attraction, what is the ratio of the electron’s kinetic energy in the n=2n=2 orbit to that in the n=1n=1 orbit? (a) 11 (b) 14\tfrac{1}{4} (c) 12\tfrac{1}{2} (d) 44

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