Let denote the fine-structure constant

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

Problem

Let

\alpha=\dfrac{e^{2}}{4\pi\varepsilon_{0}\hbar c}

denote the fine-structure constant. Which of the following expressions for the speed

v_{n}

of an electron in the

n

th Bohr orbit of a hydrogen-like ion with charge number

Z

is consistent with the Bohr model? (a)

\dfrac{\alpha c}{Z n}

(b)

\dfrac{Z\alpha c}{2 n}

(c)

\dfrac{Z\alpha c}{n}

(d)

\dfrac{Z\alpha c}{n^{2}}