Question

In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius $ 0.53\times 10^{-10}\,m $ . Then the electrical potential produced by nucleus at the position of the elect is

• A. -13.6 V
• B. -27.2 V
• C. 27.2 V
• D. 13.6 V

Answer 1

Answer: (C)

Using the formula
$V=\frac{1}{4 \pi \varepsilon_{0}} \frac{Z e}{r}$
(for hydrogen nuclear $Z=1$
$e=1.6 \times 10^{-19} C$
$r=0.53 \times 10^{-10} m$)
$=\frac{9 \times 10^{9} \times 1.6 \times 10^{-19} \times 1}{0.53 \times 10^{-10}}$
$=27.2\, V$