Calculate the speed of the electron in the first Bohr orbit of hydrogen

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

Problem

Calculate the speed of the electron in the first Bohr orbit of hydrogen. Take

e = 1.6\times10^{-19}\,\text{C}

h = 6.63\times10^{-34}\,\text{J\,s}

\varepsilon_0 = 8.85\times10^{-12}\,\text{F\,m}^{-1}

and

c = 3.00\times10^{8}\,\text{m\,s}^{-1}

. (a)

3.29\times10^{5}\,\text{m\,s}^{-1}

(b)

4.38\times10^{6}\,\text{m\,s}^{-1}

(c)

2.19\times10^{6}\,\text{m\,s}^{-1}

(d)

7.33\times10^{6}\,\text{m\,s}^{-1}