Which of the following expressions correctly gives the speed of an electron in the th…

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

Problem

Which of the following expressions correctly gives the speed

v_n

of an electron in the

n

th Bohr orbit of a hydrogen-like ion of atomic number

Z

? (a)

v_n = \dfrac{Z^{2} e^{2}}{2\varepsilon_0 h}\,\dfrac{1}{n}

(b)

v_n = \dfrac{Z e^{2}}{2\varepsilon_0 h}\,\dfrac{1}{n}

(c)

v_n = \dfrac{Z e^{2}}{2\varepsilon_0 h}\, n

(d)

v_n = \dfrac{Z e^{2}}{2\varepsilon_0 h}\,\dfrac{1}{n^{2}}