Chemistry

Problem

(i) Derive an expression for the centripetal acceleration

a_n

of an electron moving in the

n^{\text{th}}

stationary orbit of a hydrogen-like atom of atomic number

Z

. (ii) Evaluate

a_n

for an electron in the second orbit of hydrogen and compare it with the acceleration due to gravity

g=9.8\,\text{m\,s}^{-2}

at Earth’s surface. (iii) Discuss briefly why such enormous accelerations do not lead to radiation loss in the Bohr model.