Question

In a hydrogen atom, the electron is moving in a circular orbit of radius 5.3 x 10⁻¹¹ m with a constant speed of 2.2 x 10⁻⁶ ms⁻¹. The electric current formed due to the motion of electron is _______
(A) 1.12 A
(B) 1.06 mA
(C) 1.06 A
(D) 1.12 mA

Answer 1

Dear Student,

I would suggest a small correction. Speed of electron can't be 2.2x10⁻⁶ m/s, it should have been 2.2x10⁶ m/s.

◆ Answer - (B)

I = 1.06 mA

● Explanation -

Electric current formed due to motion of e- is -

I = Q / t

I = e / (2πr/v)

I = e.v / 2πr

Substitute values,

I = 1.6×10^-19 × 2.2×10^6 / (2 × 3.14 × 5.3×10^-11)

I = 1.058×10^-3 A

I = 1.06 mA

Therefore, electric current formed due to the motion of electron is 1.06 mA.

Thanks dear...