An electron revolves in a circle of radius 0.4 Ã… with a speed of 10^6 ~m / s in a hydrogen atom. The magnetic field produced at the centre of the orbit due to the motion of the electron (in Tesla) is : [ ₀=4 10⁻⁷ H / m . , charge on the electron .=1.6 10⁻¹⁹ C ]

Step-by-step solution

r=0.4 Ã…,=0.4 10⁻¹⁰ ~m , v=10^6 ~m / s The moving electron will constitute an electric current Electric current i= q t aligned i & = q 2 r v = q v 2 r i & = 1.6 10⁻¹⁹ 10^6 2 0.4 10⁻¹⁰ & = 1.6 10⁻³ 0.8 aligned Magnetic produced at the centre aligned B & = ₀ i 2 r B & = 4 10⁻⁷ 2 0.4 10⁻¹⁰ 1.6 10⁻³ 0.8 & = 4 1.6 0.8 0.8 = 6.4 0.64 & =10 tesla aligned