In a hydrogen atom, the electron is moving in a circular orbit of radius 5.0×10⁻¹¹ m with a constant speed of 2×10⁶ m s⁻¹. The electric current formed due to the motion of the electron is _.

Question

Accepted Answer

(3) 1.02 mA. Given: r=5.0×10⁻¹¹ m, v=2×10⁶ m s⁻¹, e=1.6×10⁻¹⁹ C. Idea: the electron carries its charge e past any point of the orbit once every revolution, so the orbit behaves as a current I=e/T. Period: T=(2π r)/v=(2π×5.0×10⁻¹¹)/(2×10⁶)=1.57×10⁻¹⁶ s. I=e/T=(1.6×10⁻¹⁹)/(1.57×10⁻¹⁶). I=1.02×10⁻³ A=1.02 mA.

In a hydrogen atom, the electron is moving in a circular orbit of radius 5.0×10⁻¹¹ m with a constant speed of 2×10⁶ m s⁻¹. The electric current formed due to the motion of the electron is _______.

Step-by-step solution

Why the other options are wrong