Question

The electron in a hydrogen atom moves in circular orbit of radius $5\times {10}^{-1}m$ with a speed of $0.6\pi \times {10}^{6}m{s}^{-1}$,then
which of the following is incorrect?

• A. The frequency of the electron is $6\times {10}^{15}rad{s}^{-1}$
• B. The electron carries charge $1.6\times {10}^{-19}C$ around the loop
• C. The current in the orbit is 0.96 mA
• D. The current in the orbit is 1 mA

Answer 1

The correct option is D The current in the orbit is 1 mA

As I = v e ....(i)
$v=\frac{\omega }{2\pi r}=\frac{0.6\pi \times {10}^6}{2\pi \times 5\times {10}^{-11}}=6\times {10}^{15}rad{s}^{-1}$
$I=6\times {10}^{15}\times 1.6\times {10}^{-19}\left(Using\right(i\left)\right)$
$=1.96\times {10}^{-3}A=0.96mA$