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In a hydrogen atom, the electron moves around the nucleus in a circular orbit of radius 5×10⁻¹¹ m. Its time period is 1.5×10⁻¹⁶ s. The current associated with the electron motion is ______. (Charge of electron is 1.6×10⁻¹⁹ C.)

Asked in GUJCET 2009 · Current and charge flow

Answer: (1) 1.066×10⁻³ A

Step-by-step solution

Given: T = 1.5×10⁻¹⁶ s and e = 1.6×10⁻¹⁹ C (the radius is not needed).

Idea: in each period the electron's charge e passes any point of the orbit once, so I = e/T.

I = (1.6×10⁻¹⁹)/(1.5×10⁻¹⁶) = 1.066×10⁻³ A.

So the current is about 1.066×10⁻³ A.

Why the other options are wrong

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