For a hydrogen-like ion

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

Problem

For a hydrogen-like ion, which of the following expressions gives the speed

v_n

of the electron in the

n

th orbit? (

k=1/4\pi\varepsilon_0

) (a)

v_n = \dfrac{2\pi k e^{2} Z n}{h}

(b)

v_n = \dfrac{2\pi k e^{2} Z}{n^{2} h}

(c)

v_n = \dfrac{2\pi k e^{2} Z}{n h}

(d)

v_n = \dfrac{k e^{2} Z}{n h}