In a hydrogen atom, the electron is moving in a circular orbit of radius `5.3 xx 10^(-11) ` m with a constant speed of `2.2 xx 10^(6) ms^(-1) `. The electric current formed due to the motion of electron is ......

Options

A. 1.12 A
B. 1.06 mA
C. 1.06 A
D. 1.12 mA

Answer

B

Explanation

1.06 mA
Electric current due to motion of electron
I = `(q)/(t)`
`therefore I = (e)/(T) `
` = (eV)/(2 pi r ) " " (because V = (2pi r)/(T)) `
= `(1.6 xx 10^(-19) xx 2.2 xx 10^(6))/(2 xx 3.14 xx 5.3 xx 10^(-11))`
`= 0.106 xx 10^(-2)`
` 1.06 ` mA