Question

The electron in a hydrogen atom moves in a circular orbit of radius $5\times {10}^{-11}m$ with a speed of $0.6\pi \times {10}^{6}m/s$. Then

• A. the frequency of revolutions of the electron is $6\times {10}^{15}rev/s$
• B. the electron carries $-1.6\times {10}^{-19}C$ around the loop
• C. the current in the orbit is $0.96mA$
• D. the current flow in the opposite direction to the direction of motion of electron

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A the frequency of revolutions of the electron is $6\times {10}^{15}rev/s$
B the electron carries $-1.6\times {10}^{-19}C$ around the loop
C the current in the orbit is $0.96mA$
D the current flow in the opposite direction to the direction of motion of electron

Electric current at a point on the circle
$i=fe$ where $f=$ frequency $=\frac{\omega }{2\pi }=\frac{V}{2\pi r}=\frac{0.6\times {10}^6\times \pi }{2\pi \times 5\times {10}^{-11}}=6\times {10}^{15}rev/s$
$\therefore i=6\times {10}^{15}\times 1.6\times {10}^{-19}=0.96\times {10}^{-3}A=0.96mA$