An electron having mass `(9.1 xx 10^(-31) kg)` and charge `(1.6 xx 10^(-19)C)` moves in a circular path of radius 0.5 m with a velocity `10^(6) m"/"s` in a magnetic field. Strength of magnetic field is

Options

A. `1.13xx10^(-5)T`
B. `5.6xx10^(-5)T`
C. `2.8xx10^(-5)T`
D. `3.6xx10^(-5)T`

Answer

A

Explanation

`(mv^(2))/(R)=qvB`
or `B=(mv)/(qR)=((9.1xx10^(-31)kg)(10^(6)m"/"s))/((1.6xx10^(-19)C)(0.5m))=1.13xx10^(-5)T`