An electron revolves in a circle of radius 0.4 A with a speed of 1`0^(6)ms^(-1)` in a hydrogen atom. The magnetic field produced at the centre of the orbit due to the motion of the electron (in tesla) is `[mu_(0)=4pixx10^(-7)Hm^(-1)`, charge on the electron=`1.6xx10^(-19)C]`

Options

A. 0.1
B. 1
C. 10
D. 100

Answer

C

Explanation

Magnetic field produced at the centre `B=mu_(0)i/2r`
Electric current, `i=q/t`
`B=mu_(0)q/2rT`
`(4pixx10^(-7)xxq)/((2rxx(2pir)/V)`
`=(10^(-7)xx1.6xx10^(-19)xx10^(6))/((0.4xx10^(-10))`