Answer the following for a single-electron atom:

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Answer the following for a single-electron atom: (i) Derive an expression for the orbital speed

v_n

of the electron in the

n

th stationary orbit as a function of

n

and

Z

. (ii) Show that, for hydrogen

(Z=1)

v_n = \dfrac{2.19\times10^{6}\,\text{m\,s}^{-1}}{n}

. (iii) Calculate the speed of the electron in the ground state of

\text{Li}^{2+}

using the given constants.