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

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 nth orbit of hydrogen? (a)

v_{n}=\dfrac{e^{2}}{2\pi\varepsilon_{0}\hbar}\,\dfrac{1}{n}

(b)

v_{n}=\dfrac{e^{2}}{4\pi\varepsilon_{0}\hbar}\,\dfrac{1}{n}

(c)

v_{n}=\dfrac{e^{2}}{4\pi\varepsilon_{0}\hbar}\,\dfrac{1}{n^{2}}

(d)

v_{n}=\dfrac{e^{2}}{4\pi\varepsilon_{0}h}\,\dfrac{1}{n}